{ "cells": [ { "cell_type": "markdown", "id": "3fcb1d18-6d1b-4bc4-8366-3dfd4c5b4bf3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Single Bragg Pulse Dataset Matching" ] }, { "cell_type": "markdown", "id": "48ff6b91-eb3b-4d1e-b2d2-9325b9ae1c34", "metadata": {}, "source": [ "**What you'll learn:**\n", "- How to fit simulated Bragg pulse parameters to experimental data\n", "- How to sweep Rabi frequency and detuning to characterize pulse performance\n", "- How to use `scipy.optimize` to match simulation to measured population transfer" ] }, { "cell_type": "markdown", "id": "e9ffebfa-502e-4b03-b68a-f4a5dd915b81", "metadata": {}, "source": [ "I recorded a single Bragg pulse dataset back in January 2024. It fits well to my Bragg pulse model. This is an updated version of the analysis that uses the up to date `mwave` library.\n", "\n", "The outline of this notebook is as follows:\n", "1. The ARTIQ code used to set the two photon detuning is used to determine the two photon detuning in recoil frequencies.\n", "2. The Bragg pulse profiles were recorded on a photodiode. These traces are examined to determine the relationship between the function generator voltage and the effective Rabi frequency.\n", "3. The same Bragg pulse profiles are used to create a model of the effective Rabi frequency's time dependence, including the pedistal that the Bragg pulses sit on top of.\n", "4. The model describing the single Bragg pulse is discussed:\n", " - Transverse cloud and beam spread\n", " - Cloud velocity spread\n", "5. Finally the model is used to compute the expected single Bragg pulse behavior. This is compared to the experiment.\n", "\n", "Note each section's code is independent of the other sections--you need not run all sections if you are only interested in the results from one of them." ] }, { "cell_type": "markdown", "id": "1160632b-4a9e-4f54-ab1b-63a776190541", "metadata": {}, "source": [ "### Matching experiment and simulation detuning\n", "\n", "The following lines taken from ARTIQ show how the detuning between the two Bragg beam components are set in the experiment\n", "```python\n", "IFY_freq_bragg_offset_kHz 32.0\n", "MOT_freq_dual_freq_MHz 180.0\n", "h_over_m_factor 1\n", "\n", "# Recoil frequency computed in linear frequency\n", "self.model.wre_kHz = self.model.h_over_m_factor * 2.0*np.pi/1000.0 * self.model.hbar_Js / 2.0 / self.model.m_Cs_kg * (self.model.tisaph_freq_Hz / self.model.c_m_s)**2\n", "\n", "# Computation of df_bragg_order\n", "SCI_down = True\n", "df_bragg_order = 2.0*self.model.IFY_n_bragg_order_num*self.model.wre_kHz*1000.0\n", "if SCI_down == False:\n", " df_bragg_order = -df_bragg_order\n", "\n", "# Setting of DDS\n", "self.mot.dds_dual_frequency.set(self.model.MOT_freq_dual_freq_MHz*1000000.0-2.0*(self.model.IFY_freq_bragg_offset_kHz*1000.0 - df_bragg_order), amplitude = self.model.MOT_pwr_dual_freq_amplitude)\n", "```\n", "Lets walk through each non-trivial line here:\n", "\n", "The variable `self.model.wre_kHz` is the linear recoil frequency computed for a laser blue detuned from the F=3$\\to$F'=4 transition by 6675MHz. The expression for this quantity is equivalent to what I calculated in my Bragg diffraction notes\n", "$$f_\\text{recoil}=\\frac{\\pi\\hbar f_\\text{laser}^2}{mc^2}$$\n", "\n", "The variable `df_bragg_order` is meant to represent the frequency difference needed between the two Bragg beam components to drive a particular Bragg order. It is defined incorrectly in ARTIQ. ARTIQ defines it as\n", "$$f_\\delta=2nf_\\text{recoil}\\qquad\\text{incorrect!}$$\n", "By deriving the Bragg diffraction condition you would find\n", "$$f_\\delta=\\omega_1-\\omega_2=4(n_0+n_f)f_\\text{recoil}$$\n", "So ARTIQ is missing a factor of two. This is compensated for in the next line where the DDS is actually set.\n", "\n", "The dual frequency DDS which drives the AOM responsible for generating the diffraction arm beam (as opposed to the gravity ramp beam) is set to the following frequency in the ARTIQ code\n", "```python\n", "self.model.MOT_freq_dual_freq_MHz*1000000.0-2.0*(self.model.IFY_freq_bragg_offset_kHz*1000.0 - df_bragg_order)\n", "```\n", "The first term brings the DDS to the center frequency of the AOM. The factor of $-2$ fixes the error caused previously by the incorrect definition of `df_bragg_order`. The line also provides an offset `IFY_freq_bragg_offset_kHz` which is used to account for frequency offsets caused by the Doppler shift of the atoms. We typically set `IFY_freq_bragg_offset_kHz=32`, which seems to bring the Bragg diffraction pulses into resonance. When we scan the Bragg two photon detuning in ARTIQ we are changing `IFY_freq_bragg_offset_kHz`.\n", "\n", "Now that we have decoded what is going on in ARTIQ it is time to determine the exact conversion between a particular value of `IFY_freq_bragg_offset_kHz` and $f_\\delta$ in units of the angular recoil frequency." ] }, { "cell_type": "markdown", "id": "91bdb946-aed9-4566-a072-058432c383f9", "metadata": {}, "source": [ "Let $f_\\text{exp}$ represent the value of `IFY_freq_bragg_offset_kHz` used for a given RID in the [Bragg detuning scan dataset](https://www.notion.so/bragg-dataset-2-61bf64c820f6478d89da3b22e27c9509?pvs=4#235e07fb910e492eadabfc3e611f222b). `IFY_freq_bragg_offset_kHz=32` the Bragg pulses are resonant with first order Bragg, which means that $f_\\text{exp}=32$ results in $f_\\delta=4f_\\text{recoil}$. So it must be that\n", "$$f_\\delta=4f_\\text{recoil}+2*(32-f_\\text{exp})\\times1000$$\n", "where the factor of 1000 converts the frequeny from kHz to Hz. Finally we convert units where $1=\\omega_\\text{recoil}$ via $\\delta=2\\pi f_\\delta/\\omega_\\text{recoil}$." ] }, { "cell_type": "code", "execution_count": 1, "id": "41405c58-f76d-4aeb-b7c3-f11743048225", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "hbar = 1.05457e-34 # J*s\n", "m_Cs = 2.20694650e-25 # kg\n", "c = 2.99792458e8 # m/s\n", "f_laser = 351.72571850e12 + 5.170855370625e9 + 12.815e6 + 6675e6 # Hz\n", "f_recoil = np.pi*hbar*(f_laser)**2/(m_Cs*(c**2))\n", "omega_recoil = 2*np.pi*f_recoil\n", "delta_conversion_fnc = lambda f_exp: (4*f_recoil + 2*(32 - f_exp)*1000)/f_recoil" ] }, { "cell_type": "markdown", "id": "98e8d644-d4ee-44fc-abec-32a865aa118f", "metadata": {}, "source": [ "Or written out without all of this calculation" ] }, { "cell_type": "code", "execution_count": 2, "id": "d42d5c07-ad90-4d5b-b20a-be808237253b", "metadata": {}, "outputs": [], "source": [ "delta_conversion_fnc = lambda f_exp: 4+2*(32 - f_exp)*1000/2066.4724020963313" ] }, { "cell_type": "markdown", "id": "8936d54f-0eea-41d7-a1b3-351ffddd3bc8", "metadata": {}, "source": [ "In the above dataset the detuning is defined as the negative of this." ] }, { "cell_type": "markdown", "id": "73d8b7da-6db5-4247-ae72-9120c8fc43e5", "metadata": {}, "source": [ "### Matching Bragg amplitude to experiment\n", "\n", "Via the scope trace dataset I took [here](https://www.notion.so/bragg-dataset-2-61bf64c820f6478d89da3b22e27c9509?pvs=4#cc665d63d1254f8d8abe8e9758424d09) I can relate the function generator Bragg amplitude to the pit photodiode voltage. Using [my measurements of the beam power before the chamber and the photodiode voltage](https://www.notion.so/Interferometry-beam-power-calibration-1d9a2d697f25470d94367df9b40caffc?pvs=4) I can determine the relationship between the pit photodiode voltage and the beam intensity (since I also know the beam size). By computing the effective Rabi frequency from the beam intensity I can relate the pit photodiode voltage to the beam intensity. Putting this all togeather will relate the function generator amplitude to the Rabi frequency." ] }, { "cell_type": "markdown", "id": "26039b49-4824-4057-ac00-61a7cde400fb", "metadata": {}, "source": [ "#### Relating function generator amplitude to beam power\n", "\n", "First lets load and plot a trace" ] }, { "cell_type": "code", "execution_count": 3, "id": "e35b17f0-836d-4851-b486-7cf6ca0da0bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import h5py\n", "\n", "with h5py.File('single_bragg_dataset.h5', 'r') as f:\n", " xdata = f['bragg_averaged_with_pulse_traces/scope_t'][()]\n", " ydata = f['bragg_averaged_with_pulse_traces/scope_trace'][()]\n", " amps = f['bragg_averaged_with_pulse_traces/bragg_amplitudes_mV'][()]*1000\n", "\n", "x = xdata[0,0,0,:]\n", "y = ydata[0,0,0,:]\n", "\n", "plt.plot(x,y)\n", "plt.xlabel('time [s]')\n", "plt.ylabel('photodiode voltage [V]')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e2dacbf6-56e8-4cf4-b01f-257767bad8a8", "metadata": {}, "source": [ "Now lets try fitting this trace" ] }, { "cell_type": "code", "execution_count": 4, "id": "e22ac794-b432-4064-b53b-737c654d17a9", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/d7/6t4hylss1p9_9vftvfm4fbm80000gn/T/ipykernel_41297/3053467051.py:11: OptimizeWarning: Covariance of the parameters could not be estimated\n", " popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n" ] }, { "data": { "image/png": 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zrgdiGwAP/uO/liWXt3oDqduAK/8P6HKjf6+FAoIEBtKC0rRpU3eQEaxycnLQoEEDFSRJ0BNM97qsf7+Z4E1EodsF1+7Ksw6U8q123P7JGozq3ggt60bj4tf/Utujw4x4dkR72B1OzFy2Dy+P6oSakWb8se0YRnZtgEizj7fV9iOBhc9p18VgiYLc+vXrVcuPjIiTIGPq1Klqu3SrhSoGS0QUel1wO34tKhlwlu79fB3+2pWmFk/ZBTY8OHuD+7kEUQmxYTiWWYCdx7Iw9cr2xU/W9gotWNq3mKPiKCS8/PLL2LFjh3t2Dck9kjykUMVgiYhCiwQklixtFFyD7md9mgXbj5f5WAmUxMIdJbymTmttVNzJvcDuP84piCPyty5duqjK2dUJE7yJKLTsKEzsbnNJlecqlZgBKqOEXBXEXYnnRBQ0GCwRUWjNBScFIEXri8/6NEfS81DhWhcGSzL1ib2oQB8RBT4GS0QUOo5uALKOAuZoIGnAWZ/mVO7ZTXxb6tjiRj2ByHggPwM4sOysr42Iqh6DJSIKHa7E7uaDAWP5JsP+dMUBJD3+C2Ys3oNL31h6Vl/+cHqeOocss1cne+/UG4DWw7X17b+c1fmJyD8YLBFR6AVLrS8p90sn//CPenz+1+3F9umMp2CqsRJhdeeqxRi3GjpjRqnne+zbzcjKP627rc1lRXlLLHFHFDQ4Go6IQkP6QeDYZkCnB1peVCGn1JlTES7BUcy2YvucTh1sWR1QcOwSOG01fL7eYnN4b2h2gTZhaeYh4Ng/QGKHCrlOIqpcbFkiotCws3CiWpk0N6r2OSd0G+PWIKrp6ypQUoFRTlNYTvSD5WQ/2HMbQ6dzwhS7CVHNp8MYs8nnebs9+wem/SqvL0xmMkUU5VLJ9CdEQcjpdKopSGrVqqXmg6tRowYefPBBhDK2LBFRaJUMaFWYF1QO93y+zuu5Of53hNX5U63bslui4NjlcFjqeh2jDzuCsMSfYIzcj4iGXyD/WAasJ4snlb+zeC96N62NQW0KX9/yQm1EnNRbGjCx3NdK5G/z5s3DRx99pCazbdasmZpENyIiwr0/KSlJBU+hFEAxWCKi4GfJBfYvO+tgacuRovwjc+0F7kCpIHUoLGmDfTbCOwrqI+/AHSqHyVx7KcITfgGcRlhP9Sl2bGqWVrTSHSyJ5BXayLjwuHJfL5E/7dmzB/Xq1UPfvn2rzX8Eu+GIKPjJUHx7ARDbUKuWXY4gSUauWe1aN5l0p4XV1brH8o9dAkva0DO8TepRcPwyFKQNUs/CEn6CIWpnsaNeX7Cr6EnNJKB2S8BpB/YuKvv3SBQAxo4di/vuuw/JycmqC05akS644AJ3K5KsHzhwABMmTFD7ZQkFbFkiouC3e4H22GKwVi27jK5662/3ut58DOH1v1HrlhPnw3ry/DKfx5J6EXTGLJhrrEFE/VnI2T8eTmstr5ICXqR16cQuLW9JJvslKswFyrNVQkHUMogwRpQpsHn99dfRvHlzvPvuu1i9ejUMBgNGjRrl3v/dd9+hU6dOKqfp9ttvR6hgsEREwW9PYbDUfEi5Xmaxu0ar2RHeYDZ0egtsOc1RcHxYOS9Ah4KUK2EIS4Eh4hDC632DvOTbSm6VajEUWPF/Wt6SJH+HyKdvOjcSKPX6opdfbuPKG1YiUkZqnkFcXBxiYmJUkJSYmFhsvyR9yz45xtf+YMVuOCIKbunJQNpOQGfQhuaX0duL9rjXzbUXwxB+BE5bJPIPXwfAUOLrujb2XSYAThPyDl8Pp8MEY9RemGquLPmLN+mnlRCQauNSQoCIAhpblogoNLrgGnYHIkoIZHx4YZ5WfFJvPg5zvHaO/GOXw2mPKfV1t/RvinVfrPe5z2mtjYLjwxGe+DPC6v4KW9Z5cNpiix9oCtdKCMioOOmKY70lKuwKkxYef31tKhmDJSKqll1wLjKaTae3w5bdGrbMzj6P+eL2XsjOt6FpfBRaJsRgfAnBkpDRcKbYjTBEJiOszjzkH73W94EsIUCnkZyhsnSFBTqz2Qy73Y5Qwm44Igpedhuwd4m23uLMwZLV7sDw15aoEXDCELkLxpjtcDr1yD8mU5H4zh0yG/S46LxEFSh5alTL16dxOdflas1UYx304QfVunzNH9Yf9s5bEgdXAgXZZft+iYJAUlISlixZgsOHDyMtLQ2hgMESEQWvw2uAggwgoiZQv8sZD/9tSwq2p2QVPnMgTGojqdag3nBa6pT4ujb1vLvSburdRD0+NrwNakeZix3vyG8Ea3pXd8sVoJUmeHD2hqKDajUFajQBHDYgeXlZvluioDB16lTs379fjZqrU6fk36tgwm44Igr+fKVmgwB9yUnZLgXWornajDH/wBCeAqc9HAVp3q1Sc+8fgITYMESFGdWIuegw77fKqVeeh/uHtESdmDBc2C4B+VYH0rILkJ5rgQywu/ad5ShIHQZj7EYYo/bBELkX9tzmxS9IEtLXfazVW3IVqyQKcA+eVp1bKnl76t27NzZu3IhQwpYlIgr+fKUydMGJF3/b7m5VMsdrVbplrjfYo7yOa1c/FrWjwxBuMiA23OQzt0QCJRFmNCAuwoTmdaLRrUkt9Gyq1Vdy2uJgTe+p1s3xf7hblxbvTC06kWv0HotTEgU0BktEFJzy0oEj64talsrgWKY27Ygxelthq1KYFix5GNs36ZwvLam2lqRrOXEBnA6Du3VJ3DxzVdGBTQsLX0r5gOzj5/x1iahyMFgiouCd4sTpAGq3AOIalOOFzqJWJZnHzVE0+mjr1GF4+orzzvnS/pg4sHjrUu1FXpWalaj4orIB+woT1Yko4DBYIqLg5AoummqByZm8u0QrQiktPIaIw6p4pPVkf69jIs0Vk8ZpNBS9tVpODoDTqYMxehf0YSnaJU+aizmbjpzWFbewQr42EVU8BktEFOTBUtnmcPvvXC1fyVRrmXq0ZnSF0x7t3v/+mO4Venmz7+itHmWOOClOqX3tpe797lpNrmBpzyJt6hOqVtytjBTQ9zjogqW33npL1XAIDw9Hr169sGqVR///aWRCv+7du6NGjRqIiopC586d8emnnxa7iU8++STq1auHiIgIDB06FLt2ecwQTkSBR/J7jm/V1qUS9hnYHdqbpc50UuUrCevJvl7HDG2XUKGX2KtZbbw6upO7dUmYYjdAZ8j2fhNv3AcwmIHMQ8BJLa+JQp/JpA0cyM3N9felhLzcwnvsuuchXzpg9uzZmDhxImbMmKECpddeew3Dhg3Djh07ULduXZ8T+v3nP/9BmzZtVEXROXPmYNy4cepYeZ148cUX8cYbb+Djjz9G06ZNMXnyZLVv69atKiAjogC0/y/tMaEDEFX7jIFS839LrSPAXHM5dDonbNkt4bBUbHDkS7hRK2fgyGsMe14jGCIOwlRzBSxpQ93dcfufvxRo1Ev7nqQrrraPEgMUcmSyWfkgf/y4ltgfGRmpRllSxZEPIxIoyT2Wey33vFoES9OnT8ftt9+uAh4hQdMvv/yCmTNn4vHHHy92/AUXeE+q+cADD6igaOnSpSogkhspAdcTTzyBK6+8Uh3zySefICEhAT/88AOuu04m1CyuoKBALS6ZmZkV/J0SUan2LtYem505X+loRp62orPAVGO1WrWc8m5VqiyD27o+xOnUqLuIBrPUNVjSBns37Mv3oYKlxUCP26rk2sj/EhMT1aMrYKLKIYGS616HfLBksViwdu1aTJo0yb1Nr9erbrPly89c/VYCoz///FO1Qr3wwgtq2759+5CSkqLO4RIXF6dareScJQVL06ZNw5QpUyrk+yKiys1Xcn1aN8Zugs6QD4elNuzZrb2OGXZe5bQySQ0mF21S3UjoTRkwRO2EPadN0YFS+uDPZ7Xvy2EvU4FNCn7ysykpINLbYbVa/X05IclkMp1Ti1LQBUsyv4xMzCetPp7k+fbtrkJzxWVkZKBBgwaqJUhu2P/93//hwgu1SrkSKLnOcfo5Xft8kYBNugM9W5YaNWp01t8bEZVDejJwah+gM2j5Pmfw5A//qEdXq5I1vXuxdM0IUxUEJ06TSio3114KU81V7mDp181HcXG7zoA5BshP12ou1dNynah6kL9NFfEHnSpP0CV4l1dMTAw2bNiA1atX47nnnlNBzuml2csrLCwMsbGxXgsRVZF9hflKDboC4Wf+3Vuw/Tj05uMwRh5QQ/itGd3c+4a2rYs2iTF4/OK2lXa5T1/ezr3uqrlkjN4OnVHrvn9CgjmDEWhSGPjtLxoxR0SBIWhaluLj41XkfezYMa/t8ry0vkjpqmvRooVal9Fw27ZtU91oks/kep2cQ5pCPc8pxxJRcHfByXxtwlRjjXqU7jenTQuwVGJ1FRjbr6la/t6ThhveWwlbbhKMkfthilsDy4nBOJFjgcPhhD6pP7Drdy1Y6nNvlVwbEYVYy5KMZuvWrRsWLCicC0pGmDgc6nmfPmduivd8jSs5W0a/ScDkeU7pUlu5cmW5zklEVUSG2pexGOXh9Dx0f1bmZLPDGLdObbOm94C/ua5BC+C0kgbNZLSeBEuuyuSSt0REASNoWpaEdKHdfPPNqnZSz5491Ui2nJwc9+i4MWPGqPwkaTkS8ijHNm/eXAVIc+fOVXWW3n77bXdyncyc/Oyzz6Jly5bu0gH169fHiBEj/Pq9EpEPJ3YDWUcAQxjQSOvSKsmf24+7u7z0xmw4bNGwZWt5QvcOqvrh+Tpoiea2zA5wJv4Ivfkk9BHJcOQ10Q5I7FSYt5TBvCWiABNUwdLo0aORmpqqikhKArZ0lc2bN8+doJ2cnKy63VwkkLrnnntw6NAhVXBS6i199tln6jwujz76qDrujjvuQHp6Ovr376/OyRpLRAFoX2HJAAmUTBGlHuqqWONqVbJldJVUWrX+yDCPkWhVzWmGLfM8mGqshyluPQoKg6UdqXlo1aQPdK6uOCZ5EwUMnZO11s+ZdN1JyQEZecdkb6JK9PVYYMv3wKD/AAMfLfXQmz5Yib/2HEJ0y2eh09uQs/d+OArqV2m+kqeNB9Nx5VvaVCtSOiCy8UxVSiB717/dn1s/bbMCA/a/AbS+BLj+yyq/RqLqJrOMf7+DJmeJiKo5yVfarwUb7vyeUvy1Kw3GmH9UoGQvqAtHgTaIY8oV2jxtVa1jwzhc37MRxvZNgj2nORy2GOiMuTBE73Qf89KOOtoK85aIAgqDJSIKDif2ADnHtXyl+tKlVrIDJ3LUoyl2o3q0ZXRyd8zd3DcJ/iA5ktNGdsTTKlgzFF4TVFecyxZnknfeEhEFBAZLRBQcpLVFNOwOmEqft3HgS4ugM2TBELVbPbdmBl6RR2tGF/WoJvbVa1Oy2GFAZl0pmsl6S0SBhMESEQWHA39rj03KNq+bMXazmjRXJrB1WuPVtm5NaiIQ3NS7icqfku5B6SY0xmx179ti7qitsDglUcBgsEREwdWy1KRfqYf9czhDPZpiN6hHa2F3l2heJwqBQOsK1KkyAsIUU9TltsHYXlth3hJRwGCwRETBMR9cxkFAbyy1vpLV7sBl/1sKnekkDJHJanoTW1ZhS43EWbUDI1iKDtNGv9myOrhHx0Gfr9Zf3hTOvCWiAMNgiYiCpwuunkw4W3LAk2/VKl8bY7aoR3tuU/f0JkPa1MWt/ZsiECTGheOJS9vCUZAAe0Ed6PR2LXepMG+J88QRBRYGS0QURF1wpecr2R3a9CFSMkDYsorKBDx1+XkINwXOzO63DWimdcUVti5JjpWbqzQC85aIAgKDJSIKfGWsr2SxObRRcBHJxYKlQOXKWzKqrjht3ko08ZwnzuHHqyMiwWCJiAJbVgpwco9WJ6lRr1IPtdgdamSZexScrQYC2fhBLeAoSISjIF4bFRe9XdshU52YorR6S6la9xwR+Q+DJSIKjnylxPZAROnBz7Rft/vsghM612RxAaR1YowKAq2urriYTeox6T+/Ib9ed+/vn4j8hsESEYVEyQDxyz97YIiSVijAelqw5BqBFkia1I5Uj7ZMrVyAUaY+0VnV+lt7XFOfMFgi8rfAe/cgIjrLYpTSjaXTOWDPT4DTogUb06/thAiTATWjzAF3Xzs2rIF7LmiO/1vkhMNaA3pTOgxRu2DPbofVzjbaQcnLtXnxArFpjKiaYLBERIEr9yRwfGuZWpYmfbcJxljvLrgtU4YhKgBblDw9OrwNwowG/N/mtjDXWq5KCEiwtN7RAg69Cfqso8CpfUAtGT1HRP7AbjgiClzSqiLiWwNR2pQlvjidTny5eo82okwFS1q3ltkYHG9xHRrGwpbdTq0bYySh24ECmLHOVlgX6kDhfSAivwiOdxIiqt4lA8pQX8kYtUuNKHNYasFRUE9tNxmC4y1uUOu6sOc0hdMeBr0xG/rwQ2r7akdr7YBk5i0R+VNwvJMQUfVUxuTuGYv3wKBaZABbdlutzEAQ0al8JCNs2Vpw5JpYd6WjMG+JSd5EfsVgiYgCU34mkLKpTC1LL/++HcboHWrdllUYYAShoq44LVha52ilBX4n9wJZx/x8dUTVF4MlIgpMB1cBTgdQMwmIa1DqofrwI9Abs+C0m9V8cGLJI4MQbGzZreB06mEIOw6dKQ2ZiAIStPwrdsUR+Q+DJSIKTAeWlqkLLivf6p6E1pbT0j3It3FhDaOg4oh0B3taojfwe05zbR+TvIn8hsESEQV1faWXf9vhniZEy1cKbrYs7XswRmtdcT+cbKztYN4Skd8wWCKiwGPJBQ6vK1PL0rbUQzBEHFbr9sIE6WA0f8L5GNo2wZ23ZIjcD+hzsdqV5H3sHyAv3b8XSVRNMVgiosBzeA3gsAIx9bWcJR/m/ZOCpMd/wfo0rQaRmjjXLnOtBaeWCTG4f0gLOK21YC+oqyYDlnIIqaiBfY4EqSal5XERUZVjsEREAdwF16fEaT7u+mytejS4u+CKRsE1qhWBYNSkVpRXC5lrhN8qR1vvUgpEVKUYLBFRANdXOsN8cDorjFG73SUDrurSAF/c1gvzHjgfwSgu0qQeXfWWDDKxLhxY7XQVp2QlbyJ/KNOkSbVq1Sp3gbV169ahSZMmZ3tdRFRd2a3AoTXaeuPSgyVD5D7o9BY4rLFwFNTHqO4N0bd5ydOiBAt7bpIqg6BV8z6CVQWFrWaSx2XNA0zB2XJGFNLBUnp6Ol577TXExcWd8ViZo+mee+6B3W6viOsjourm6EbAmguE1wDqlF5g0l0yQHXB6VRaT2gwwpbbAqaYraorLjl/MJwx9aCTSXUlkGw6wN8XSFStlHk67uuuuw5169Yt07H33XffuVwTEVVnrnylxn0AfWmZAk6PkgFaUBUKsZJBr1Nz3dmz22jBUtQOWNKGwNm4D3RbvtO64hgsEQVesORwOMp10qysrLO9HiKq7lx5OSXkK/29Ow1Tft4KvTkVevMpOB0G2HNaIFQYdDrY4XTnLekjDkJnyMFTG2LxjKQ0sd4SUeAmeM+ZM6fcQRMRUbnIe8wZgqUb3l+JHceyYIjaWVgyoCngNKv1Dg3PnCoQ6J67SpvexGmLgz0/UZUQMETtwipXvSUpH2C3+fciiaqZMgdLI0aMQKNGjfCf//wHu3dro0/84a233kJSUhLCw8PRq1cvrFpVct2R9957DwMGDEDNmjXVMnTo0GLHjx07ViWkey7Dhw+vgu+EiIpJ3Q7knQJMkUC9TqXeIGP0Lvd8ai6x4dposmA2qnsjrJt8Icb2TXK3Lkne0k5nQ6Q7owBrDpCy0d+XSVStlDlY2rdvH+68807MmjULrVu3xsCBA/Hpp58iLy8PVWX27NmYOHEinnrqKTXarlOnThg2bBiOHz/u8/hFixbh+uuvx8KFC7F8+XIV7F100UU4fFir9usiwdHRo0fdy5dffllF3xEReUkuzFdq2B0wlBL46KwwRO5Vq/acomApVNSK0lrK7DmFJQSidqp8rDWOwu+V88QRBWawJIHGk08+iT179uCPP/5QrTt333036tWrh7vuugurV6+u3CsFMH36dNx+++0YN24c2rVrhxkzZiAyMhIzZ870efznn3+uRuZ17twZbdq0wfvvv6+6EhcsWOB1XFhYGBITE92LtEIRkR+4goAzlgzYD53eWlgyQKpbh54rO9eHPbcJnPYw6I050IcfLuqKY70losAvSjlo0CB8/PHHqhXmpZdewubNm9G7d2/V0lNZLBYL1q5dq7rSXPR6vXourUZlkZubC6vVWqxulLRAyUg/aTGTAPDEiROlnqegoACZmZleCxGdI6fTI1+pT6mHGl35SjkttZIBIahOTJiEhbCp71G64rYXzRMnSd7MISUKjgreMTExGDJkiAqeatSoga1btVmyK0NaWpqq3ZSQ4P0pUp6npKSU6RyPPfYY6tev7xVwSRfcJ598olqbXnjhBSxevBgXX3xxqXWipk2bpmpOuRZpdSOic5SeDGQeBvRGoGGPUg91JXd75iuFGsmfFEV5Szux2dkUuc4wIO8kkKbdAyIK0GBJ8pQkwLjgggvQsmVLlcckuUT79+9HoHr++efVdX7//fcqOdyzftQVV1yBDh06qCR2GfUnXYrS2lSSSZMmISMjw70cPHiwir4LohDmalWSxG6zNkeaLzpjBgzhx+B06lThRpebeofWjAH1YsNhNurdOVn68EOw6S1Y7yj8njlPHFHgFaUUK1asUPlBX331leoWGzlypMpfkpalyhYfHw+DwYBjx455bZfnkmdUmpdfflkFS3KtHTt2LPXYZs2aqa8lI/6k1cwXyXGShYgqY/LcvqXOEOBqVXLkNwTsUfhX78aYekV76PWh1R0n38+OZ4bjld93Yub+BBUgyjx4q3LboJ9hi3a/etzq78skqhbK3LIkCdX9+vVTo9CkG0rylT777LMqCZSE2WxGt27dvJKzXcnaffqUnN/w4osv4plnnsG8efPQvXv3M36dQ4cOqZwlSVwnIn9U7i45WLr9kzXFSgZEmAwhFyh5dsWFqdallu6JdVc5PfKWJM+LiAInWJI8HwmU1qxZo5KgyzJPXEWTrj6pnSTJ5du2bVPXkZOTo0bHiTFjxqguMhfJQZo8ebJqDZPRe5LbJEt2drbaL4+PPPKIajGTLkQJvK688kq0aNFClSQgoiqSnQqc0IIgNO5d4mF/bEuBMaowWCrsnho/SAskQtWYPklFSd5Ru7De0RxW6RTIOgKkH/D35RFVC2UOlt54441KHe1WFqNHj1ZdalLCQMoBbNiwQbUYuZK+k5OTVYuXy9tvv626C6+55hrVUuRa5BxCuvU2bdqkcpZatWqFW2+9VbVe/fXXX+xmI/JHvlKdtkCk92hVF6vdofJ2dIY8OO3hcOQ1VNvjIoO/EGVp5PtbMeE2OB1G6E0ZsJgzsUPfXNvJqU+IAidnqWvXrqrVpaz1h/r3768KSDZo0AAVbfz48Wrx5fSk7DMlnEdEROC3336r0OsjorNQhpIBLf/zK8zxhaPg1Fxwhmpzq2PComDPTYIxerea+uSvrFZob9yhJXl3vsHfl0cU8soULEkLzsaNG4vVJyrteKlFRERUUflK3vWVtC64+weHzgS6pTEZ9KorToIlKSGwMqMz7sbPrORNFGij4WRkmIxEKU99ECKiMyrIAlI2ldqytPFgOqDPhT7ioFdy98SLtBpEoc6g1xUmef+qpnlZ67waTuigO7kHeScPI6JWxbfiE1E5gyWZF668GjbU8gmIiEp1cBXgdABxjYG44u8bs1cn47FvN8MYswc6nRP2grpw2mpUu5vqKKgHhy0aemM2ciNSsdXWGOfpD+CJ19/FK1Om+PvyiEJamYKlJk1Cq9gbEQVivpLvLjgJlIQheod6tBe2Ko3rl4TqRQd7dkvoa6xXeUurTrVRwVJH+xZ/XxhRyDun6U6IiCquGGVp88E5i5UMGNe3abW6+fHRYe7vXeUtOdqq9Z767X6+MqLQx2CJiPzHVgAcWnPG5G69+bgaNi/D5+25WpBU3VIjm9SOhF2NAgQM4UewSqd1WbbWHQJyT/r56ohCG4MlIvKfI+sBewEQGQ/El1xcUipXCxUoOUO7rlJJXhvdGU57DOz52uwCmVHHscdRD3qdEzi40t+XRxTSGCwRUQCUDOjts6nI4dBG4J7eBVcdW5Ya1Yr0GgkoZRRWOlxTnyzz56URhbyzCpbS09Px/vvvq6lFTp7Umn9lKpTDhw9X9PURUTVO7v567UFAZ4UhUhuR65ojTYSbqk9RSk/ueeKidnkES4VBJxEFRrAk04PI1CAy75pMGyKBk/juu++85mUjIiqVww4kF3YfNfad3P3D+iMwRByATm+FwxoDR4E2tdHQtgkq4bm6+f6evrDnJcHpMEFvysIKU7y24+hGoECb85KIAiBYkslsx44di127diE8PNy9/ZJLLsGSJUsq+vqIKFQd3woUZADmaCCxo89D0vOsqgWlqEVFh/3PX4r3b+6O6qhL45r4Y8IQ2HObqecno1JxyBkPOGzAodX+vjyikFXuYGn16tW48847i22XeeBSUlIq6rqIKNS5uo4a9QQMvku+bTuaCWO0K1+p5ATw6saW3dKdy7WqsCsuZxc/rBIFTLAUFhaGzMzMYtt37tyJOnXqVNR1EVGoK8N8cDpDthomL1zD5skjbylyH5Y7tXXnfuYtEQVMsHTFFVdg6tSpsFqt7nngkpOT8dhjj+Hqq6+ujGskolAj80y6k7t95yvtSc2GIWq3Wpfh8jJsnjQOS104rHHQ6W1YHhattkUcX6fVrSIi/wdLr7zyCrKzs1G3bl3k5eVh4MCBaNGiBWJiYvDcc89V/BUSUeg5sQfIPgYYwoAGvvOPhryy2F0ywHMUHEk5BZ27WzI16iRSnbEwOCxa3Soi8s/ccJ7i4uIwf/58LF26VI2Mk8Cpa9euGDp0aMVfHRGFpv1/aY8NuwOmooEi3pzu5G5Xjs7mpy+qqisMeDJPHGqsUfdo9ak2uMSwSqu3JDWriMi/wZJL//791UJEVG6uIopN+p1hipNMbYqTPG3S3Jjw6lm92xdbbgs4nToYwlOwWNcHl2AVHPuXQT/gIX9fGlHIKXew9MYbb/jcLrlLUkpAuuTOP/98GAzVs2AcEZUhX2l/YbCUVPIHLnfJgMIpTjo1jOOtBVAj0qzdB3sUHPkNYIg4hBUR4UABULB3OSKkfpWe779Efg2WXn31VaSmpiI3Nxc1a9ZU206dOoXIyEhER0fj+PHjaNasGRYuXIhGjRpV6MUSUQg4uRfIOgLoTUDDHiUednrJgNl3+k4Er26kGOeMf3XDXZ+tVfdGgqXjUSeRmR+BWOQCKZuB+p39fZlE1TvB+7///S969OihilKeOHFCLVI2oFevXnj99dfVyLjExERMmDChcq6YiEKjC07ylczafGcuFpsDbyzYhZs/XAZD5F61zV44H1x1nd7El+HtE4vyluSNPGo3Vjm0+2R3tdoRkf+CpSeeeEK1LjVv3ty9TbreZOoTme6kYcOGePHFF7FsGX9hiciH/UtLzFf6cNk+TJ+/E0sPrtWmOLEVTXFCxdnzmsBpN0NvzMHvJq0l/9CGP3iriPwdLB09ehQ2m63YdtnmquBdv359ZGVlVcwVElG1yVeSit1e+UrZUohSV7XXGCR+fWAAujSuDVuu9sF1VYSW/B5/Yq12n4nIf8HSoEGD1HQn69cX1fOQ9bvvvhuDBw9Wzzdv3oymTZtW3FUSUWhIPwBkHgL0Rm2ak9PYC//Gu+or2Qq74GLCznrgbshqWy8W39/Tz91NKXlLeU4zouwZcKZu9/flEVXvYOmDDz5ArVq10K1bNzX1iSzdu3dX22SfkERvKV5JROSzC65+V8AcVezmOBxONcWJ/rQpTm7uq5UOoOJcNaj0kclY7tRambav+I23iqgClfvjmiRvS1HK7du3q8Ru0bp1a7V4tj4RERVzhpIBdocUotwDnc4Je36ie4qTCRdqrSdUnNNaGw5LLejNJ/FzeAMMtmxD5BGZJ+5B3i6iCnLWbdtt2rRRCxFRmR0obFlK8l2Mct6WFITVc01xUhQgGfTMWyqZNvWJ2bwSayMMgAWIPLocBVYbwkzsviSqCGf1m3To0CH89NNPqkyAxWLx2jd9+vQKuTAiCjHpydqiMwCNSpqSw+mRr6R1wV3SQRsmT76dVz8WO7JaAjVX4kRUKvLSzaijy8Q38xfimksu5G0j8kewtGDBAlxxxRWq8KR0xbVv3x779++H0+lUc8QREZXaBVe/CxAW7fMQvTkVelOGNsWJVO4GMPXK9ryhpfjx3n5oMfkYnE499GFp+F3fAlc6tyLqqHTFMVgi8kuCt9RSevjhh9WIN5ne5Ntvv8XBgwcxcOBAjBo1qkIuiohCOLnbRxfcTxuPoOdzf8AQtdNrihMRZiz321S1YjToMfmSbnDkaXWW5oTXVY9JWWv9fGVEoaPc70Lbtm3DmDFj1LrRaEReXp4a/TZ16lS88MILlXGNRBRS+UoDiu26/8v1OJ5VAGPUbq8uOBHByt1nJC37rmlh/onU6i80zFgnwwsr6D+PqHord7AUFRXlzlOqV68e9uzZ496XlpZWsVdHRKEh4xBwaj+g0wONevk+RmdTI+GEvfAP/6p/D1EtJ3RmrmApKyoFGc5wxDizgGP/8NYRVYByvwv17t0bS5dqnxAvueQSPPTQQ3juuedwyy23qH2V7a233kJSUpLqApT56FatWlXise+99x4GDBigJvyVZejQocWOl09kTz75pAr8IiIi1DEy7x0RVUK+Ur1OQHisz0MMEQcKpziJhqNAS+quGxvO/4YykILdjryGcNrDoTPk4TtT4XRU+5bw/hH5I1iS0W4SpIgpU6ZgyJAhmD17tgpgXEUpK4t8nYkTJ+Kpp57CunXr0KlTJwwbNgzHjx/3efyiRYtw/fXXY+HChVi+fDkaNWqEiy66CIcPH3YfI/PYvfHGG5gxYwZWrlypWs7knPn5+ZX6vRBVK/sWa49Nzy/xEENhF5xWiJKtSeXhhHS9Gdzdl79H1NR27P/rrP/LiKiIzilNK0FCgrQePXrgzTffVM8dDocKgO677z48/vjjZ3y93W5XLUzyesm7km9d5rGT1jFJWhcZGRlISEjARx99hOuuu65M15WZmYm4uDj12thY35+aiaoteYt5tb02zcm/vgNaDCl2SNLjvyAy6U0YIg4h78go2DK6qe37n7/UDxccfN5ZvAfTft0OU42VCK/3PcJyE7Hm2CogLBZ4dB9gYL0lonP5+13uj29SMuDEiRPFtqenp6t9lUXypNauXau6yVz0er16Lq1GZZGbmwur1aqmZhH79u1Tk/96nlNumgRlpZ2zoKBA3WDPhYhKcHKvFigZzEDjPl67Fu44jmGvLgEMOdCHH/bKV6Kyc56Wt5QfcRyHEQUUZCJt90reSqJzVO5gSWoqSQuNrwDCs3uroknyuHxdafXxJM8l4CmLxx57TLUkuYIj1+vKe85p06apoMq1SOsWEZVg7yLtsWFPwBzptWvch6ux41gWjJGuKU4S4LRpn+4eGVY0hRKV7vJO9dWj01oLjoJ46HQOzArX6lR99uXnvH1E56jMbbNSsdvlt99+U0GCiwQxUqxS8pYC1fPPP49Zs2apPCZJDj8XUmtKcqdcpGWJARPRGfKVmg0s8RYZogvrKxW2jCx9bBAa1vQOrKhkDWpEYPPTF6HD079rU5+EpWFJRDQeyge6Ojbz1hFVVbA0YsQI9ajT6XDzzTd77TOZTCpQeuWVV1BZ4uPjYTAYcOzYMa/t8lwm9y3Nyy+/rIKlP/74Ax07dnRvd71OziGj4TzP2blz5xLPFxYWphYiOgOp87OvMMm46cBSpjjRgiVbjtaaxECp/GLCTTAZCueJq7UcByKzgVNAN90OwGYBjGb+uBJVdjecJFPL0rhxYzX6zPVcFumC27FjBy677DJUFrPZjG7duqkWLM9rkud9+njnQXiS0W7PPPMM5s2bh+7du3vta9q0qQqYPM8prUQyKq60cxJRGR3bDOSdBMzRQAPf0yHpw1KgN2XC6TDBnhu4rdPB4O0bu8Ge0xxOpwF2cyY2G2IRpSsAjqzz96URVa+cJUmKllYef5CuL6md9PHHH6tK4nfffTdycnIwbtw4tV9GuEkXmYtUFJ88eTJmzpypWr4kD0mW7OxsdyvZgw8+iGeffVZ1M8oULnIOyWtytaQR0TnYW9gF16QfYNCmLzmdq1VJ/si7pjihszO0XQI2TL4M9tzG6vlX4dqjYy/rLRFVejec1CEqq/vvvx+VZfTo0UhNTVVFJCXoka4yaTFyJWgnJyerEXIub7/9thpFd80113idR+o0Pf3002r90UcfVQHXHXfcoUb09e/fX53zXPOaiKj0+kovzNuuHg3RO9SjLacVb1kFCDcZYM9pBWPUPqyIDANygLWLfkTjrvcjgUU+iSqvzpJ0V5XpZDod9u7di+qGdZaIfJA8mReaANZc4K6lQGKHYrWVoC9AdKup0OnsyN79MJzWeFzVpQFeHV1yziCVTt7Sm095F1FN34TObsba5N1wOI14pctv+PcI71QEouous4x1loxl7XojIiqXw2u0QCmyNlD3PJ+HGFTJADscltoqUBK9mmp10OjsyIdWR359OGyR0BtzscBcF8Mtx9E4awMABktEZ0N/rp9ggqgAOBFVJde8ZNIF59E9LlzvG8bCkgG27KIuOE6cWxH07jIMP4RrI33zd/xRIWcmqo7OKlj65JNP0KFDBzXxrCwyHP/TTz+t+KsjouBP7vZRMsDmcBaWDCier3RZx6IyHnT2XNW8NxWWqxqgZ70lorNlPJuJdGWE2fjx49GvXz+1benSpbjrrrtUle0JEyac9cUQUYgoyAYOrS6xGKXF5oDOnAa9+RScDklIbu6VoEznztWylBV+Cqd0BrTWHwIyjwKxDEaJKj1Y+t///qdGmckQe5crrrgC5513nhphxmCJiLB/KeCwAjUaAzWLDxDpPW2Bu1XJntsUcLJgYkVz2uLU9DGG8GOYHd4Id+Xtx5o/v0X3EeP5A0pU2d1wR48eRd++fYttl22yj4gIewoLvbYYKhnHxW5IVr6tKF/JowvupWuKKuzT2XvrBq0AqL2wIvr8yBrqMWXDr7ytRFURLLVo0QJfffVVse2zZ89Gy5acLZyIAOwuDJaaDyl2O46k5wE6KwyRWpkRe3bRhLmjunNS6opwacd6+PHefrAV3ts9kblwyEhD5yYcPpXDH1Giyu6GmzJliioOuWTJEnfO0rJly9SUIb6CKCKqZk7uA07uAfTGYsUoD5zIwcCXFsEQtQ86vQ0Oaxwclrp+u9RQFmbSq+ljnPYw2I35WGOOQk9LJi5+8WO8eO+N6NCwaDJ0IqrglqWrr75azZ0mU5788MMPapH1VatW4aqrrirv6YgoVLvgGvUCwr2LvC3Zmaoe3aPgVMkAHc5vVQfPXdW+6q81hLVOiJFKVu5uzq8iGqrHAfpNmLP5iJ+vjijEW5aETGj72WefVfzVEFHw2/2n9th8cLFd2QV29WgozFeSaTnEJ7f0rMorrDbFKf9zSVu8sKw1TLGbsSrSAGQA/fX/4O2DGf6+PKLQblkaOnQoPvroI1UinIjIi91aVIyyxRCf88HpTCdgCEuF06l31wKiylEzyuzOCTsVno00gx699Nuxbu9RbD3C93CiSguWpETApEmTkJiYiFGjRuHHH3+E1Wot72mIKBQdXAVYsoDIeCCxk89DjNHaBLqSTwMHJ6yuTDLPntMeA3ue1gU3JzweYToreuq3Y9nutEr92kTVOlh6/fXXcfjwYZWrFBUVpeotJSQk4I477sDixYUVe4moeucrNR/kNcVJvtWOT1cc8AqWbNlt/HON1YhBr8OdA5u5R8XNjaitHgfqN2LbUbYsEVXqdCd6vR4XXXSR6o47duwY3nnnHZXgPXhw8RwFIqqGJQOkvpKHiV9twOQf/gH0BTBEaSUDbNlt/XGF1U7DmpHuwHRnZAGkH2CQfgO+W38YWfnsFSCq9Il0U1JSMGPGDLzwwgvYtGkTevTocS6nI6Jglp0KHN3gM7l77uYU9WiM2gWdzg5HQTycljrumkBUeUZ1awhHfgM4bFGwG2xYHRaB5vqjaKJLQWpWAW89UWUES5LY/eGHH+LCCy9Eo0aN1NQnMt3Jrl27sGLFivKejohCxd6F2mNiByDad+0kY/S2Yl1wg1qzzlJlkrn2lj42xJ3o/U1Efe2+6zcUTmhMRBVeOkDyk2rWrKkKU06bNg3du3cv7ymIKBTtnKc9triwhAMcMETvKBYsJcSGVcXVVWtRZqO656Ya67Ay0gSkA4P162GzM1giqpRg6aeffsKQIUNU3hIRkbtkwO4/tPXWF/u8KfrwQ9Abs7WK0jISDsBlHeuhf4t43sQqKCEgZRqkXENmWC4OGw3o5dyGPZZsAN6FQ4mouHJHPNL9xkCJiLwcXAnkZwCRtYEG3XzeHGNM4Sg4VYhS+5z25g1dVfFEqny39GkHe24Ttf5DeF2E6WyY/u77sNhk1jgiKg2bh4jo3O0onM2+5UWA3lDmfCWqOm3qxbjv/bzIGupRuuLu+Xwd/xuIzoDBEhGdu52/aY+thvvcrTNmwBB+FE6nDvbCP9gvj/JdtJIqx9VdG8KW3U6tH4jMQ5ZOhwsMG/DHNm2kIhFV8NxwRERuJ/YAJ3YBeqNXyYDjWfn4bt1hr0KUjrzGcNqj1Po13bSq0lR1BSqlXIO9oI6abmZhRAyuyD2JNrqD/C8gqsxgKT8/H+HhnK6AqFpztSo16QeEFyULj/twNbYUzj8W0dC7C+6C1lqNJap6tqx2MIQtxjeRdXFFbqbqiiOiCu6GczgceOaZZ9CgQQNER0dj716tGu/kyZPxwQcflPd0RBTsdv7qswvOFShpVbt3e1Xtfn10lyq+SHKxZZ2nHjdH2lU17yEG5iwRVXiw9Oyzz6ppTl588UWYzWb39vbt2+P9998v7+mIKJjJCLgDf2vrrX3nKxmjdkCnt8FhqQ1HQYLaxsoj/uPIbwiHLQY2gx2rI8LRTb8LD8/8Db9uPurHqyIKsWDpk08+wbvvvosbb7wRBkPRqJdOnTph+3YtL4GIqok9fwIOGxDfCqjVzOchxpgtHi0aWpkAs5FjS/xHD1uW1sL3VUSiegzbMw93c1QcUYnK/Y51+PBhtGjRwmf3nNXKSRmJqpXtv2iPrYaVcIDNndxtLez+EWFG3+UFqHLNvX8AJl/WTuUtib8jjZAa3hfp1/DWE1VksNSuXTv89ddfxbZ/88036NKFeQhE1YatoCi5u+0VPg8xRO2BzlAAhzUGjrxGapvZwFYlf2lXPxa39m8Ke25zOB1m5Jks2Go2o49+C2KQ67frIgq50XBPPvkkbr75ZtXCJK1J3333HXbs2KG65+bMmVM5V0lEgWfvYqAgE4ipBzToXnoXnKrvowVJ9w0u3jJNVcxpgi27NUyxm9WouKcsh9TEusAo/lcQ+VDuj3hXXnklfv75Z/zxxx+IiopSwdO2bdvUNpkKhYiqiW0/aY9tLishY9sBY8xWrxFYYjyDpYDg6or7MzJSPV5kWA2nkxPrElVYnaUBAwZg/vz5Z/NSIgoFdhuwY6623vZyn4cYIpILJ84Nhz2nKPmbc8EFBmlZkol1T4blI9loxAXOjXBa86EzR/j70ogCTtAlD7z11ltISkpSxTB79eqFVatWlXjsli1bcPXVV6vj5Q36tddeK3bM008/rfZ5Lm3acO4qolIl/w3kngAiamnFKEvtgpPfJ04WEHAcke4g9tvI2ojW5cOxd5G/r4ooeIOlmjVrolatWmVaKtPs2bMxceJEPPXUU1i3bp0qVzBs2DAcP37c5/G5ublo1qwZnn/+eSQmakNkfTnvvPNw9OhR97J06dJK/C6IQsC2n7XHNpcAhuKBkHTneJcMAEZ2aYDtz/iuxURVa/3kC/HsiPYIt2qDcn6J0iqv67Yz75TIlzJ93PNskTlx4oQqTClBSp8+fdS25cuX47ffflNVvCvT9OnTcfvtt2PcuHHq+YwZM/DLL79g5syZePzxx4sd36NHD7UIX/tdjEZjqcEUEXlwOIBtc3yOgtt9PAtDpy+BPuwIopqdhNNhVN096vd3dGfexgBRM8qMf/Vugga1b8J9y77FsfACHDQaEb3+B9ybch2+uGuAvy+RKPiCJRn95iLdWlOnTsX48ePd2+6//368+eabKul7woQJlXKhFosFa9euxaRJk9zb9Ho9hg4dqoK1c7Fr1y7Ur19fde1JADht2jQ0bty4xOMLCgrU4pKZWTitA1F1cHgtkHUEMMcATQd67br1Y61ejzF2k3pUgZKzqNI/BZYuDRqorjhj9G58F1kLD2Qehzl5iWSm+vvSiII7Z0lakIYPL96ULtskWKosaWlpsNvtSEjQpktwkecpKSlnfV7Je5LpW+bNm4e3334b+/btUwnsWVlZJb5Ggqm4uDj30qiRVj+GqFrY8l1RIUqT90Tah07lSSccTK5gKbOjP66QyqhGpBm2rA5q/eeoOPV4ueHcPnwShaJyB0u1a9fGjz/+WGy7bJN9webiiy/GqFGj0LFjR9W1OHfuXKSnp+Orr74q8TXSupWRkeFeDh48WKXXTOQ3DjvwT2Gw1P7qYrtlMhN9+GHozdIFJ7V8tGk1KHBJTpmMinN1xV2oX4P//b4ZV/3fMmw8mO7vyyMKCOUeojJlyhTcdtttWLRokWqVEStXrlQtM++99x4qS3x8vJqL7tixY17b5XlF5hvVqFEDrVq1wu7d2izpvoSFhamFqNo5sAzITgHC44AWQ4rt1ulQ1KokgRK74AKe0x7t7or7JrI2JmQew6ZF32G9ozuufWc5djx7sb8vkSj4WpbGjh2LZcuWITY2VlXvlkXWZQSZ7KssZrMZ3bp1w4IFC9zbpIK4PHclmleE7Oxs7NmzB/Xq1auwcxKFjM3fFCV2G8N8tiwZY1xdcFr3DgW2Xc9dXGJXXIHN4ddrIwoUZ1X8RFqUPv/8c1Q1KRsgyebdu3dHz5491Si9nJwc9+i4MWPGoEGDBiqnyJUUvnXrVve6TNGyYcMGREdHuycDfvjhh3H55ZejSZMmOHLkiCpLIC1Y119/fZV/f0QBzWYBthZ2wXe4xmvXoVO56P/CQujDkxFmTofTbi6sr0SBzmTQa11xiT8iNTxfdcUNca5DOAqQD7agE511sCSJ1j/88IOa5sRVp+iKK65QQUZlGj16NFJTU9UUK5LU3blzZ9X950r6Tk5OViPkXCT48Zzc9+WXX1bLwIEDVTeiOHTokAqMpCRCnTp10L9/f6xYsUKtE5GHPX8C+elAdAKQ5D1a6rlftPcCU+zGorngnCb3/vs5xUnQdMXNjqyDhzOPYrB+PeY6evv70oiCM1iSXJ5LL71UBRmtW2v1U6QlR0aESc2j5s2bozJJyQLPsgWeXAGQi1TuPtNcR7NmzarQ6yMKWf8UdsGddxWg9/5glG+1a3PBxW5Wz62njYK7Y2Dlvi/QubNldlLB0k/RMXgo8yiuNPzNYInobHOWpKaSVMWWEWBSRVsWadFp2rSp2kdEIciSA2wvnAuuvXcXnHwgWbgjFYaIA9CbMgvngmvln+uks2bNaq+KiJ4Ky8cOswmD9OtRE6whR3RWwdLixYvx4osvek1tIiUDZEoR2UdEITq9iTUHqNEEaNjda9epXKt6NMatL5rexFnUaN2oVgSizJXbRU8VwBHhLvXwYVR9mHV2XMGaS0RnFyzJkHlfBRtlFJmMWCOiELT+M+2x841afQAPBTY7oLO6SwZYM7p67V/88CA1QTUFPluGNiXNn9EmSMfqNQZ+ACY6q2Dpsssuwx133KFqK0nzuyySEH3XXXepJG8iCjGnDgD7/9IKA3T2HiXqcDjRZ9qfMEZvg86QD4e1Buy5Tb2O0esZKAULmZ7GaYtEvtGCv8Mj0UG/H5PeZl4nUbmDpTfeeEMlcUttI5lLTZZ+/fqpofivv/467yhRqNn4pfbY9HyghvecianZ2hyJprh16tGa0cXrbeX16zh5bjCIDXd1mxphLay5NDOqoXpMOvyTH6+MKEhHw0mFa5naRCaf3b59u9rWtm1bd90iIgohDgewobCmWpd/Fd/tdEJnyIYheqd6blPBEtCpYRx+uLcfu9+CRFSYEZn5Nnc3qrnmSqyLtiHvpA5XGZYhKzcPMZER/r5MouCqsyRatmypFiIKYQeWAunJQFgs0OayYrulC85UcwN0OgfseY3gsNRV26VgB/OUgkeERwK+I68xHJZagPkkfo6oiWtzT2Lcs6/gPw8+iBZ1o/16nUQBHSxJ5exnnnkGUVFRar0006dPr6hrIyJ/W/95UW0lc6TPQ0yFo+C0LriiFicKHm9e3xXjv1yH1MwCZBXYYM3ojLA6f+Lj6AQVLN1g+BMf/z0Cz4xo7+9LJQrcYGn9+vWwWq3u9ZLwkyRRCMk9CWz9QVvvclOx3SkZ+dCHpcAQcVjNWi9FDT177yh4tKsfiz8fusD9vOnkEypYSo7MwRGjAYOd67C+IEWKbCEtuwA1I80wMHGfqpEyBUsLFy70uU5EIUxylWz5QGKHYrWVjmXmo/e0BQhLWK2e27LawmmPcu9nu1Jwc1prw5bTHMaoPfhfVBKmZexB2ObPsLlfD1z+5lL0blYLs+6ouAnMiUJuNBwRVQPSNLT6A229x23Faist3pmq1VZyjYJL7+m1/0zTDFHgs6b3UI/zY4yq5tJ1hoWYtXKv2rZi70k/Xx1RALYsjRw5sswn/O67787leogoEOxdCJzapyV2dxjlFQTtSc1W9ZWMMf9AZ8jTaivleA/2YM5ScJvxr26463OrqrlUYMrFr+G1cFn+SbQ8tQQARz5T9VOmlqW4uDj3EhsbiwULFmDNmjXu/WvXrlXbZD8RhQBXq1LnGwBzUffa5yuTMXT6Ejz+3WaYaqxS26zp3Yu9ldSNCa/a66UK5gScJlgztaT9d2MaqMfmB77inaZqqUwtSx9++KF7/bHHHsO1116LGTNmwGDQhpva7Xbcc889KpAioiCXfhDY+au23v0Wr11v/rlbPerMqTBG7YPTqXN314hPb+2J9//ah+eu4qipUCD/t+Zay7AvKgupJwwYgH/Q3HYYe5xa8ERUXZQ7Z2nmzJl4+OGH3YGSkHUpKSD7iCjIrX4PcDqApAFAndZeu1Iy89WjuYaW2G1X02MUtSgPaFkHH9/SEw1r+i4zQMHBlXLmKEhU9bOgc+CVqFZq262Guf69OKJgCJZsNpu7crcn2ebgeGGi4JafCawpbEnuc6/XrgMncrQVnQ3GuLVq1XJaYjeFhtgIk3vdckr7P/49VqcSva82LEVtZCA1S5vqhqg6KHcF73HjxuHWW2/Fnj170LOn9kskk+o+//zzah8RBbH1nwIFmUDtlkDLYV67NhxMV4/G2I3QG3PgsMapliWXJy9rV+WXS5Wjb/Pa7nVbZmc46/4KqzkbH4Un4db8/fiX4Q/sPj4MdWLC+F9A1UK5g6WXX34ZiYmJeOWVV3D06FG1rV69enjkkUfw0EMPVcY1ElFVsFuBFW9r633HA/qihufV+08i+USuSvyVHBZhPSV1doq645vUZtdbqPAqMOw0wZLeA2Hxi/FRbC0VLN1knI+rZ63Eqzf1QdfGNf15qUSBGSzp9Xo8+uijasnMzFTbmNhNFAK2/ghkHASi6gAdr3Nv3nwoA6NmLFfrhogDMIQfgdOh/QH1VCPSXOWXTFXDeqo3zLWXID0qDcuMddDPloo+uQsw8v+cWPzIBWhSu2jEJFEoOuuilKmpqdi0aZNa0tLSKvaqiKjqM3qXvaat97wDMBUN/V9/8JR73eRqVZJ54Dwqdt8/pCW6Nq5RlVdMlezDsT1UpW7htNWELUvrZn0ppql6vMvwMwywY3tKFv8vKOSVO1jKycnBLbfcorrezj//fLXIuuQx5eZKMz0RBZ0dvwIpmwFTFND9VrUpp8CGHzccxrLd2ochnTEdxpgtat16qq/Xyyde2IpzQ4aYQW3qqilN9j9/qdf/+e7YE9ivi0WS/hiu0P/Nau1ULZQ7WJISAYsXL8bPP/+M9PR0tfz4449qG3OWiIK0VWnRNG291x1AlJbc+9i3m/DArA34bcsx9dxUczl0OoeaM0yGlFP1Ys9tBnt+AnR6K56M0iZNHm/8AU6HjJEjCm3lDpa+/fZbfPDBB7j44otVrpIsl1xyCd577z188803lXOVRFR5ds4DUjZprUp97nNvnrNJG8Ch6PNhrrlSrVpPercqrZg0hP871YIOlpMD1Nq6mieQgmg01x9FvYOsu0Shr9zBknS1JSQkFNtet25ddsMRBXOrUs/b3a1KpzPXXAGdIR/2grqwZbf12pcYx6lNqgtbRmdVMkJnzMbkyG5qW8zK6Xjy+41Iy2bdJQpd5Q6W+vTpg6eeegr5+VolX5GXl4cpU6aofUQURLb/AhzdqLUq9S1qVfKis8JUa6latZwYeC7jQijoGWE5obUuLa+ZgRPOKNW6lLP6C9zykVbVnSgUlbt0wGuvvYbhw4ejYcOG6NRJ67feuHEjwsPD8dtvv1XGNRJRZdVV+uMpbb33XUBUvM/DTHFroTdmw2GtoVoWPL11Q1f+31TD+eLC4v+EznwS/wnvixkF8/GQ6SsMOtTb35dGFDjBUocOHbBr1y58/vnn7mlPrr/+etx4442IiIiojGskosqw9iPgxG4gMh7o96DatGjHcazcdxJvL9pTeJBd1dcRWouCVoTytv5N8QQrdldPzjBYTvVBWJ0F+KtmJg4ejUcjXRpuMczDliODkZlnw+7UbNzUu4m/r5TIf8HSkiVL0LdvX9x+++3F5oyTfVJKgIiCYA64Rc9r6xc8DoTHqtWxH3p3paipTcwn4bBFqRYFl25NWLW5OrmkQyLmbk5xP5cyAhJE6yOOYpL5fHxm/Q53G3/EwDcuwCloP0ut6kajVzPfOXBEwabcyQeDBg3CyZMni23PyMhQ+4goCEgBytw0oHYLoNvYEg6yI6zOH2rNKqOgnEUVuoedx9IB1ckLV3fEc1e1x9onhqrnTnsULIWjItfFH8ZmR2PE6vLwgPE792sOnsrz2/US+T1YcjqdPovPnThxAlFRLHlPFPDSdgN//09bHzoFMBTNMO/JVGNNYatStPsPo4teX/w9gEJXTLgJN/ZqgtrRRRPnWk6eD6c9DIbwo3g8XEv6vskwH+fp9qv1xTtT8caCXSxaSdWrG27kyJHqUQKlsWPHIiys6JfGbreraU+ke46IArxUwC8TAbsFaHEh0EarzlyMzgpz/J9q1ZI2yKtViUhRrUv9Ve7Svvgd+OlgL1xhWIlnTTMx0vI0ft54RB3WOjGGLZFUfVqW4uLi1CItSzExMe7nsiQmJuKOO+7AZ599VrlXK6Nv3noLSUlJavRdr169sGrVqhKP3bJlC66++mp1vAR5MpLvXM9JFNT++RbYtxgwhgOXvCiffty7HA6ne91UYyX0pgxVU8ea3tO93WzQY9HDF1T5ZVPgWPpYUbqFFKl02iNgCDuOpyO6IcsZgS763bjOsNB9zCF2x1F1aln68MMP1aMEFQ8//LBfutxmz56tpluZMWOGCmok+Bk2bBh27NihimL6KqDZrFkzjBo1ChMmTKiQcxIFrbxTwG//1tYHPATUaubedeBEDga+tKioWne89sfOkjYEcJrcE6vKfGFUvTWsGVn0xBGuam+F1Z2HgjpL8fKBkZhi/ByPGWdhvr070qB9wCaqdjlLUpBSAqXU1FQsXbpULbJeFaZPn65G4Y0bNw7t2rVTAU5kZCRmzpzp8/gePXrgpZdewnXXXefVbXgu5xQFBQXIzMz0WogC3txHgexjWlJ33/u9dv3rA20qEyE1dPTGHNgL6sCarlVpFi3qRlfp5VLguqB1Hfe65LNJC6TenI5ZcRH4x5GEGrocTDO9L/2+fr1OoopyVtOd3HLLLahXr54qEyBL/fr1ceutt1bqdCcWiwVr167F0KHaaAyh1+vV8+XLl1fpOadNm+bVDdmoUaOz+vpEVWbrj8DmrwCdHhgxAzB5T1Fy8KQ2cklnSoOp1jK1XnDsMnddJdGolkeLAlVr/3djVzx9eTvtidOMguPD1aqp9iJMcNwEi9OACw1rcY1hCRxsWaLqGCxJd9bixYvx888/Iz09XS0//vij2vbQQw9V3gCetDSVSH76vHTyPCUlpUrPOWnSJFUqwbUcPHjwrL4+UZXITgXmFHZD958ANOqBnzYewcTZG5D0+C9qcQlLmAudzg5bdivYc1q7t7dJjOF/FrlFmo3o37Ko4rstsxPseY2gM1iQXGcLpttGqe1PGT/Bx3P/wuCXC7t4iapLsPTtt9/igw8+wMUXX4zY2Fi1XHLJJXjvvffwzTffoDqQLj3X9+5aiAKSww58dzuQewJIaA8MfExtvv/L9fhu/WGvQw1Ru2CK2QqnU4+CY96j5G7s1bhKL5sCX0KsZ+ukHvkpl7unx3nf1BlrHK0Qo8vD6+a3kJyWgUOnKq/ngSjgKnhLV9vpLTFCkqErsxsuPj4eBoMBx44d89ouz2U0XqCckyigLH4R2LsQMEUCV78PGMNKLBUQnviDWrWe6g2Hpeh3/Md7+6Fjw7iqumIKotpLix+5AGajHhabQw0QsGZ0hiluA8z1fsCE/XfiF/NkdNfvVAnfFtsQf18yUdW1LPXp00cleefn57u35eXlYcqUKWpfZTGbzejWrRsWLFjg3uZwONTzs/26lXFOooCxewGw+AVt/bJXgbpt1eqKvSeKHWqOXwC9+QQc1lgUpF7kta9Toxo+C9ESNakdhXpxEWhcmM8mLZKqlED4EaTU3IWHrXeq7bcb5+LFV1/Ch8v28aZR9WhZev3119XQ+oYNG6JTp05q28aNG1WNot9++w2VSYb433zzzejevTt69uyphvnn5OSokWxizJgxaNCggUrAdiVwb9261b1++PBhbNiwAdHR0WjRokWZzkkUlNJ2Ad/coo1GkulMOl3n3nXduyu8DtWHHXVPlluQcqUaDu5yA7vfqAxcwbTTHoP8Y5ciov43CKszH/OzHsQM22W4yzgHL5tmYNScBIzrdw/vKYV+sNS+fXvs2rULn3/+ObZv3662XX/99bjxxhsRERGByjR69GhVpuDJJ59UCdidO3fGvHnz3N2CycnJajSby5EjR9ClSxf385dfflktAwcOxKJFi8p0TqKgk5MGfH4NkJ8ONOwJDC9sXfLJjvB630Knc8CaeR5s2ee59/z50EAk1eYURlQ2a54Yiu7P/gFbRjfY4tbBGLUX4Ynf46WDN6ODbh/6GbZgpvklIONKIK4BbysFFZ2TFcPOmdRZkhICMjKOyd7kV5Zc4NMRwMGVsMQ0Ru/Uf+MkYvHT+H644k2tJIAnc/x8NV2F0x6OnL0T4LRpuUkt60Zj/sSBfvgGKJi5RlZKCYqoZq9Dp7ciP+UyRJzqjG/NU9BSfxjbHI0xyvIkshGJj8b1wKt/7MIdA5rh0o71/H35VA1llvHv91kFS9KytHDhQhw/flzl+HiSFprqhsESBQRrPvDldVpCd3gcbnA8g78zi4Z3n04fcQCRTWZAp3Mi79D1sGVp3eqiVUI0fp/AYInK538LduGV+TvVuqnmcoQn/ginw4jc/eNR32LA9+bJqKPLxCpHa4y1PIZcFHX57n++hHkKiQLg73e5u+GkRMDdd9+tRpLJiDHPxE9Zr47BEpHf2QqAr24qHPkWBdzwFda/l6662XzS5yOi/mwVKFkzungFSkIHJnRT+d03pCVGdGmAAS8uVKMqjVE7YIzZjvD6X+LQ/vEYZ3kUX5j/i576HfjQ/CLGWh5FnkfARBQyo+GeffZZPPfccyq/R5Kl169f717WrVtXOVdJRCUryNZalHb9DhgjgBu/wo8nGyHPWkKgBCfC630NvfkkHNYayJek7tNw8BudraJK7zrkH70GDls0DOHHEJbwE/5xNsNNlseR6YxAL/12fGR+EbHIUUcPePFPtPrPr5j03SbefAr+YOnUqVNqYloiCpDq3B9fBuz5U6uldP2XQFJ/PDBrQ4kvMddeDFPsFjgdBuQdusFr9JvL5MsKp7IgOgdOezTyj4yG06mDueZqmGqsxEZnC9UFl1UYMH1lnop6OKGm3LHYHfhyFWdEoBAIliRQ+v333yvnaoio7FL+AT4YChxZD0TWBm6eA2ezC0qd5d0QuQvmOlqJj4JjV8CRX1SZ+7XRnbFt6nC19GtRcq4TUXnYc1rCkjpMrYcl/gR9eDLWOVthtGUyjjlroI3+IL4LewoddHvdr/H8GZZ1jkMifytTztIbb7zhXpf6RJMnT8aKFSvQoUMHmEwmr2Pvv997NnMiqgSbvgJ+uh+w5eGILgG1x/yMRxfl4scNc0t8iT4sBRENP1N5Spb07rCm9/TaH27SI8JcNHEuUUWxnBgIffhB1aIZ0egT5O6/B1utSbiqYCo+Nr+gRsl9Y34aU2w34wv7YDSdNBdf3t4bvZvVwuh3VsBo0OHz23qxOCr5TZlGwzVt2rRsJ9PpsHdv0aeD6oKj4ajK5GcA8yYBGz5XTxfZO+EB67347w3n494vSs4Z1BkzEJn0f9CbMmDLTUJe8q2A0/uDzox/dcPw9pzmh86d5+TMbvoCRDZ5G4bwFDgK4pF74G447VEqZ+kl0zsYZlijDvvR3hdPWW9GOmKwYtIQ9J6mzbCw8amLEBfh/TNLFFCj4fbtY4l6oopgd2ifTQx6Xblfp9u9APo59wOZh+GEDvZ+E3HLgi5wyCSmJSZzyxfLQUSjD1WgZC+og7yDY4oFSsJk4Ag4qlgjuzbAd+sKJ2x2hCHv4C2IbPJ/0IelIaLRR8g9cBsynVG40zoBdzjm4FHjbFxp+Bt99VvwhPUW5FsvKDpZCR/rrXYHjHrdWbU6nctrqXopd86SJ/YlE5Wdw+HERa8uxoWvLlbrZWVP24u/nxsG/RdXq0ApL7oxRhVMRosF3VSgJB76eqPvFxtyENn4fe3TvC0GeQfHAQ7XaCVvRsM5vR0QFWPymFFBOG2xKmBy2iJhiDiIiMYfAroCNXLuXfvluNryNHY6GqCOLgPvmF/F3tcvQQvdIe21PqKlkzkWdJrye6mtqiWR13Z8+neM/2I9/+fojM7q3fGDDz5Q057IfHCyyPr7779/NqciqjZO5VqwJzUHe1NzcDLXcuYXZBwGfn0c+rd7YYB9JWxOPazd78SFedOwxtnmzK93B0pH1fDtvAO3wWmt5fPQ9g1i0bd57bP4roiKe3R4azSsGYEJF7bCI8Nae+1zWOoi9+A4VTXeGLkfEY1nqi46ISPlLrP8F2/ZroDVacBgwwbMMz+OZ40fQJdRfJTcD+sPI9dix9zNKeX+b/hu3SFVXuOXzUf5X0hnVO6ilFJ0cvr06bjvvvvQp08ftW358uWYMGGCmptt6tSp5T0lUcgpsNkh2YA2hxNRZoNq5vds6vfMFJSuAAmk6sYUDuE/vh2Wv9+CafMs6OwWVR5yib0Dptpuwufn34xDS7UcjtLoTCdV15shLLUwULodDovv+Q4vbp+It//VrQK+ayLNPRe0UIu4d1ALtZye05SbfCsiG38AY+QBRDZ+D3kHb1YT8Vpgwku26/CNfSAeN36pcpn+ZVwA53s9kddmJCw970V4ww7qdyjXYnOfMyvfiphwk/tRWGwOOJxOhJsMSMnIR92YMOgLu8A9fx/lNdFhxkrpjpPfb5vdycETQa7c053UqVNHjY6TyXM9ffnllyqASktLQ3XDBG/yJF1snaf+jsx87Y38gtZ18NG4nkjPtaDz1Plq26p/D0Hd2HD3H45I5GP2+WnokPI9kLzcfa7dEZ3wVMYlWOZor7oqykIffljlg+iNWXBY45CXfEuJgZIY2aUBpo/uzP9EqvIEcH34IUQ2mgmdMRcOS03kHRxb7Ge1p24b7jN+jwGGf9zb1jtaYLb9Asyx91ZzzJ3uw7E91O9dj+f+QHquFbcOaIp3Fu/1mlblg6X78Mycre7XXNu9IV68xruSfUXo9/yfOJyehy1ThiEqrNztExQgf7/L3Q1ntVrRvXv3Ytu7desGm60oyieqrgpsDnegJBbtSC02hYj6hJKTBmz4Eu+aXsG6sDvRYdWjKlCyQ4/f7d1wbcFkDD31GJY5OpQ5UDLGrlfzvUmgZM9PVEO0SwuU2taLxWMXl6FLj6gC3dpfG2HtyG+IHPUzWht68ylEJr0NQ3RRACNWOdviJuu/cUXBM/jF3lN1z3XR78bzpvexNuxufGB6CaMNCxGPDPdrnvllq2p5Ssu2qNZdV6Dk6fTfqK/WaLlRFU0CJbHlSGalnJ+qRrnD3Jtuuglvv/226orz9O677+LGG2+syGujIHQkPU+N9JImbckHiI8OU03hGXlW2BwOJMaGu5u65dh6ceE4nlWgjimaJgE4npmPmlFmmAx6NZDgaEY+6teIcO8/lpmvXlMj0gTJlZYhxUcz8pAQI+eH1/Hy+kOn8hBm1KvWHHmtvIHWiw13N8kfz8pHjQgzzMaSPz/IeTYdykC7+rHqujLzrdiQnI6uTWri8Kk8tKgbXeIot7wCG9IO7cJw/Sr00m9DzY+nAie2q30XFZY22u9IgKnbjbhnaztszPCdhF0inRVhCXNgrrlSPbVlt0Te4RuLVef+cFwP7E/LwZSftT9Ivz4woHxfh6gCSIX4+VuPIflkLpzWeBXUhzf8ROuSa/QJLCfOR8FxKWRZVPdrk7M57rU+qIKikYYlGG1YhOb6oxhiWK8WmKCSw1c62mJ3QSekJNcr/Fji/TuZkWtFXKTvEgSbD2Wo95IjGXloVidKdY273n+kVUheK9168l4lv+unvzepLvUci7vV2NPpnTiSYB5pNqguwrKy2R3qntWOCvP5Pcio2JwCG2pHh7nf12LDTdiekoVODeM46u8cGM82wVuqePfu3Vs9X7lypcpXGjNmDCZOnOg+7vSAikLbx3/vx1M/bfHatnzSYNz4/kqV1Cyu69EIz1/dER8t24enf96KsX2T8NHf+9W+DU9eiBqRZmw5koFL31iKDg3i8PN9/TF1zlZ8uGw/nruqPW7s1QTJJ3Jx/ksLvb7Oy6M64eGvN+Kabg1RI8KE96WJfUR73NS7CR7/djNmr9GSQ5+6vJ07UBh+XiJm3NQNO49l4aJXl6BNYgzmPXh+id/f6HdXYNW+k2p937RL1EgaT1JAb9at3aE7uR/n6zeise44mupS0FZ3AAX/vR3NdTmYYS48+IT2cCSsOb7O6YRf7T2x3dkIWF7+nAkp9hde/2sYwo6raSUsaYNhSRviu+HYCfUGTeRvnp8rpN5SXvLtCKv7K8y1lsFcewkMkfuQf+SaYi2jaYhTI+fetV+GlrrDuEi/BsMMq9FRvw+t9IfVAssfwEevYFNYJLY5G2Orown2Oush2ZmAEc8cxdwnb/Q5/+Hlby71ev7nQwPxzdpD+L9Fe7y2D22bgPdv7o7n521XrVbyvjKuX1OM/L+/sflwBubeP0B9qPLkGSqlZReg+7N/ICbciM1Pa9XNy+KaGcux4aBMkA1sf2Z4sUBLJjBOzSpQ9akkn2vwK4vd+1rWjcb8iQPL/LXoHIOlf/75B127dlXre/ZoP0Dx8fFqkX0urFtR/Xj2/7ss3ZXmDpTErNUHVbAkAZBwBUpi/cF0DGpdF98X1mWRNx0hgZKYNne7Cpb+2Has2NdxTb4pb2wuz87ZqoIlV6AkXIGSmLdFG0Hz4wbt68mnL8VhB+wWwJoHWLK1iWoLshB+YCEu0echSpcPx9/78JhxhfqUG68rXA5nAs9mINxpxyeuoMiDxWnALmdDrHW0wnJHO/UJ+GR+yX3kZ6QrgDn+T/WHRapySyJ3/pFRsOd4jz46ncwK/8vmFPRvwdFv5D/606MVpxEFxy6HPbcpwut9o0oLRDZ7A5a0C2A5MUjt96ZTv0+77A3xln0EaiITPfU7VMttD/12tNYdRKwuF71029UcdF5f6sVHcK05Ht3NkUhzxqklFTVwwhmDLEQi2xmBbERg/d8W/L7iOBIRgXyYVfK5BUb8sU1773B178l7nwRLrves79cfQrv63vMrSouUy9oDp9Rjlkd3fVm4AiVxqLA125MESuLvPWlIycz32rfreHa5vhadY4I3Ve8Eb/lx2XksWzVRu7rIpLVFmpTv+3I9+mIDrjf8CSMc6rOU2aCH1W5XDeG6ws9W0hy8+VC6+7nrUT751I424fCpXBw5pfXz92paE6v3nVTBgEiMDYPZoMOhU7nu13qe+/TnrRKisetYlvu5AQ4YYYcJNph1NtSN1CM/Px9wWGGGDWE6uVa59rNn04djjy0eB5wJatnpbIitjiT1aD27xtzTOGCMW4ewOr9Bb9ICPGtGZ+QfuxywR5X6yplju2Nwm5JzmIiqytDpi7G7hD/gUnE+LPEHmGK2qecOSy3VLWfL6ljm/D35HW+uO4J2uv1oq09GE90x1dorS6Sq7XT2HE4dHAYzcu0GFMCogqjacTE4nF6gap9J3mGLhFjk2ZzYdyJPbasdHa6mB7PK24vOgORT+eq4ejUiVBef5DlKmoLV7lRdgVaHNorPFQBJuoHrA528y3VpXAO1Is3IsdhwOD0fTeOjsHhnqtpXJzoMsRFG7EnV3ie11wCD29SFUWpftbkE6PKvc7oH1e3vN4OlKrzZoeCLlcn49/ebMbRtXbx/cw98uSoZk77b7N7/g3kyOuu9m6yDWYHThCxEIMcZrj5pZnusn3DGIrXwE6nr0+kxZ00cR40yv6GXjwPG2M0w116oikyqLZZayD92GezZ3p9iSyLzbfVhPSUKAGNmrsKSndrgB9+cMMZsRljCz+4PBfa8hihIGwx7tgxKONsiqk7UQQYSdSfdrcJ1kK4KYdbUZSEaeYjR5alHbT1XPZp1pVTJDzamKOA/R/x9FaE33QmRy3t/ac3Of2w7rj1f4j3KRFpnxEzbcNWSIp9yXE2XWpuPx6NT2+e5vei5a5tre8nPi9qRivb5Oq+r3Uma0S1Oo2rlscGgnsu6tXCbFQb1KJ8WK6Yl6Bzp82CK2wBzraXQm7VkJ6c9DAVpQ2A91ddH90SRG3s1xlVdGqhch55JtVReFVEgeOHqDhjx1jKcyrXih3v6Ydqv2/DXLs/SMzrVkmTLbgNz7b9grr0YhggpNfAJ7AV1YTkxALbMToDTR593qXTqA06qs0aJU6j4oocDZkgLtBVhqhVaW5f3PNd2PZww6BzqnUZaseW5tFS71uUc+tP2yWPRlXmue1yxzvcx9w9ugTf+3F36az22xyEHk0xfamkGVC4B8JeAgolnv7uwn/bc9Yv5p6MLlqoh73R27DBE7ocpbq1qTdLprWqrTBNhOdUXlpN9S5y2xLOWTEnPifytXlwEVv57qPv5p7f2ctdfmnVHb1z37gpth9OsBixYT/WEqdZSmGuuUIMZIup/C2fCHFgzO8KW0Q32vMbnOoNXqdQcjAhTi3ZdJRxYhYktX6uybQ3LfHwCTmrBUlVeZIhgsERnHSwdOJGDAyeK+sTpHOnzYIzcC2PMVhiit0FvLLq39vwEWNN7wpreHXAWvlkThSgpPXI6Vd079WKV7G2qsUqVyZCWVnPN1WqRuQ9tWW1hy24He05T/p5QhWKwROXi2ZDkGvnh8zje1zNwqClJDOFHYIhIhiFqL/RhR72a2x22SPXGb03vAYf61Fy2PKjPb+vFu09B6Zkrz8Oh9Dy0bxBX8kGOcFhPng/ryQEwROyDqcYaGGO2qEKs5poSRK2C06mHI7+BGllnz20Ce0E9OK01KymXMHi4UhOo/BgsUbmn8nCv+4yIGCZ50edBbz4Jvemk+hQsAZI+7BgMEhgZiucN2AvqwJ7TEras82DPTfIqyucLu9colNzUR37mNa+O7oQJszeWcrQO9rxmasFRm/rAYYzeCmP0dujN6ar0gCworJAhE/faCxLhkMVSS00qLY8Oa23AUb1aa2UUM8Om8mGwROVyJKOodkfoVp1wADLyRcoIFD5CZ4NOZ1Ozo+sKF7Vu8FzPgc6YBb0x273uyjXyxekwqjduu/oE3Ex9CnbaQns0JVFZSfX/sjPCntNKLQXHpPTAKZXzZ4jcq5LC9WHHoTPkwxi5H5DlNE67WXXzOW3Rql6Z0y5LJGAPh9MRBqdDe4Rd1sMApwlOp0ENrnDKAAuHsXCgheRMBX4YYnc4+ce/nBgs0VkrLVaSzy1SKyU88QcVOCjuLibPF3qsq/2+9p1+jPc2z9EeJX+Nwue60/c5TguKZL1ig0D15qs+wcon2dpwWOLhyK+vHs/UckRUXfVvEY/bBzTFnE1HEWE2uIvbXtaxntpWGqetJmyZsnQp3GKDPixVdXWrR9XSexI60wmVGyitvDrDCcB84px+I2WEL1QQJWeROnS6ogBKrbsetW3SXei1r1igVfhc7felfNvznXbcqE9Q74D6uVqdpToRdfBUn6dQI1xKnlBJGCzRWZN5iEr7FZVEZWNhUblgpt7QXJ8i5VOmPUw122ufOM2F6+Fqygb5ZKo+nconU7UecxZDm337+q4+6JFUC1e+uRQbD5WcL0YUCmQWiP9c2k4tj32zyR0svXlDVyzcPg85lvLUPZJW3HpqKUa1Che2CEtrsGoZliUPOn2+Rwty4bo+Hzq9TbU2ax+uiorYqg9asr2whEqgtTFJkLTJNZovtaiL88ImF+KSZpf478KCAIMlOmunzwNXnPYmYstNUhNjFnF9wvJ87vmIs9hftM/p89OYr/XCT3ROg7tJXa3Lp77CdahPfpU3HLk8akZqQVfHhjUYLFG10jLBe1qPXs1q48/tWq23c1b4wcdujT/bExQGTtJVbz8tiJLgSd6oPNflUavFpL3Wta2klvXTebakl7C9hNfGIRsvm99R+ab667/A2xvfxvaT22F3hlDBzUrCYInOWoGt+LQgri4xLWApXLfGlbnCNPl2fc/G7nmgHru4DWpGmnBpx/q8XVQt3Nw3CTkFdpzfKt49cfZ/527zmgvSU+0oM07kVFXhRflwZVZLWUIdfzIgHYPD89R0LfrGg/HVjq/8fUlBIzA+MhMFoScvq5gAMMyoL3WEm1Tgnjayg1cNmokXtUbrxJgK+fpEgU7moXxgaEt0aSzD/4FaUWYVMMnvimsZ169oJN3ayRe614e0qeuXa6bQwmCJyizXUr4ZsosEWs99xZDJhCvCoNalv5l3bFhKzRkiKnXASdcmWoBFPuosuTIWArIdLLAEXbD01ltvISkpCeHh4ejVqxdWrVpV6vFff/012rRpo47v0KED5s6d67V/7NixKpHQcxk+fHglfxfBSZrBz8RzZFpiXLh6jAkv3tsrI1peuqZjsdaZeQ8O8HreuVHZR2gY9eULyspz7tN9cVsvDGxVB09c2haXdqyHKVech1v6NVX7bu7TpEznuK1/U4ztm4QXrpaZ1L39+sAA1fUm57+pd9nOR0RF/ph4vnp/uW1AU8yfoK2vmDTE5/tRWcwc213NZ+c5Ws/TpR2Kkscb1IhAUu2i6YjCTXrcNbB5ub+mdCc+dXnxFuwo87mNotVX8Ijf6iCocpZmz56NiRMnYsaMGSpQeu211zBs2DDs2LEDdesW/3T+999/4/rrr8e0adNw2WWX4YsvvsCIESOwbt06tG/f3n2cBEcffvih+3lYWPUqUFZW5a2rdHH7BHy5BxjSNgGzCufbvb5nI0wb6R0cTJ2z1b3eJrGozlDLutH44d5+7vmiSgt65DgX1/HyZrZ0t+fEnN5cr3Edr5Ncb49vUSae/equPsW+/uanL0JMuEmt3zagmde+Jwvf2D5efqDY16sTE4bWCTHua3qilG68tvVivbreiKh8WtSNUYtomRCjFvH9Pf0wdPpitb7nv5eg/VO/Ie+0kb1z7x+AS974y2vb4DYJ6vGxbzerx9E9GmHjwXRkFWgt7m/d2BW/FL5X3Nq/KW7pr3148pSZb8UXK5N9fnByvR9c+dYydV4x4cJW+FfvJpjys/Yeed/gFnjootZqXfK1Hv66tKKdZ6ZzT2rO4CmkWpamT5+O22+/HePGjUO7du1U0BQZGYmZM2f6PP71119XgdAjjzyCtm3b4plnnkHXrl3x5ptveh0nwVFiYqJ7qVmTzba++K7Y7U3n0dzrCig8dS3MOfDUq2kt9Ti0bYJXMbrBbeu6W6FK65qSFh5P5sIcoH6nffI7k7YegZpwJZOeLtx09p/qXNdkNnj/6vVu5n0PiKhySL6TizRGS8uwaFwr0uuDTVm64Ye3T1TrbU7LH5QPO7508/H+Jzp5tHJ7vp+dft5Sp4HxEHlay5Pr/YUhUTVoWbJYLFi7di0mTZrk3qbX6zF06FAsX77c52tku7REeZKWqB9++MFr26JFi1TLlARJgwcPxrPPPovatQtr5PtQUFCgFpfMzExUB6X1a0srjsXmQHNbFJAG1SV1NCLH/ell0cMXYO2BUypZ+XTv3NQNv21JwcWFzdi/3N8fi3em4opO2miv56/uiAEt42GxO3HwZK7qnoqLMOGT5ftRI8KE63vJvGlFFj58Af7enYYRXRpgcJu6uPrtv3FTnyb453AG/tqV5m4m9+zykhouq/efxNaj2v+ldBFe2Vm71i9v7403F+7CzX2SEBthUsmmZ/LdPX1xKseCDg3i0PO/Cwrvg7RENUV8tBl9mnv/fM34l/c9IKLKC5Y+vqUnIkwGlXYhXejSiiwfznamZKlfVAmWPru1lwqmUjLzvT7kzbmvPw6dysN59ePw9BXnqdpnQwo/2Ekawe7j2cV+v13k/U9asG0OJ/Q6nTq2Se1Irw+E9w5qjpwCG+rFhaN7khbkSJfiliOZuKid7w9T8v3cPLMoJeWPiQMxa/VBZOfb0KFhLC7rWB8/bjiCo0eSgbU+WpYYRoVOsJSWlga73Y6EBO8fFnm+fft2n69JSUnxebxsd5GWp5EjR6Jp06bYs2cP/v3vf+Piiy9WgZbB4LsFQbr1pkyZgupGSuSX5DPX5K1var98F52XiI9z9rj3J8VHqcWXGpFmjO5RFPAkxIbj2u6NvEZ/ee53eXBoK5/nk0BoVOHrZcTYP1OGFV1HYTO5Z90W+RQoy6p9J9zbXK8X8sZX0ptfSXy1oAkJtDzPXdI9IKLyKU9XkmfrTVSYEdf20H4n41sUtSj1b+m7ZVlad1wtPJ6vdaUReKYSnE6v12Fk14alXluY0YDJp3XRe3YplvT9SCvUdgn2ANSvEYGJF3q/P17TrSG+zSk5LYFCqBuuMlx33XW44oorVPK35DPNmTMHq1evVq1NJZHWrYyMDPdy8OBBVPdgqUjxY1yfXgJBjUhTicOJyxsQlZW0Lglp6SKiytGn+dkWlQxO7U7r6nMlmHsmlp/Oq1FcJtOVZi7mLIVWy1J8fLxq6Tl27JjXdnkueUa+yPbyHC+aNWumvtbu3bsxZMgQn8dIjlN1TAK32oO/x/v3CedjQ3K6Sjo/3bDzEvHBzd1LzDc4W9Kcv3xvGgax3gtRpRl2XkKl/P4Gqnb1Y/H5bb1Ud52464LmKom9Z2EOqC+u4IhCuGXJbDajW7duWLBAy/8QDodDPe/Tp4/P18h2z+PF/PnzSzxeHDp0CCdOnEC9eswdOauWJXdTuEwS6Qy4X9C6MeGqi9Dgo8yAXKcEUdKEXZHiIk0Y3r6eal4nospRWb+/gUwGjDSrE+3u4peEc88E9tPpdHrvlqUAavUPdEETLAlJ1n7vvffw8ccfY9u2bbj77ruRk5OjRseJMWPGeCWAP/DAA5g3bx5eeeUVldf09NNPY82aNRg/frzan52drUbKrVixAvv371eB1ZVXXokWLVqoRHDyZnMUn96EiIiCQxnGplCwd8OJ0aNHIzU1FU8++aRK0u7cubMKhlxJ3MnJyWqEnEvfvn1VbaUnnnhCJW63bNlSjYRz1ViSbr1Nmzap4Cs9PR3169fHRRddpEoMVMdutorJWSqkk/KUwd9tR0QUKnQefx/Vc46GC81gSUirkKtl6HS+krJHjRqlFl8iIiLw22+/Vfg1hioZ7npmDJCIiAKRd6jE9+ryYKMcVU7LkkftDvaLExH5n9R28jk3HCt4nxGDJSozm718Cd5ERBQ4DAaP92UGSOXCYInKneDtOS1AaQJxNBwRUXV1+nsxc5bKjsESlTtnyej56aQkDJCIiAKK3rN0AJUL7xyVmb2wG+70SWDvH9zC41lRVx1zloiIAof3YLiiOkscuXxmDJaozI5k5PluWWIrEhFR8CV4U5kxWKIyc7Uo7UzJLjaTdnFFv5TMWSIi8j+vCt4e780cDXdmDJaozFwdbL1Pm3C2aXyUx0Gs3UFEFIi8pnnie3W5MFiictdZKkt+t9doOJYRICIKOHxvLjsGS1RmruAn3GRAfLQ2WWO3JjVPP0p7YN84EVFA2XEsy+MZewFCeroT8h9XAW+9XoeV/x6KApsd4UZDicdzhAURUeBjztKZMViicnfDyYgK6fuONJf248NRF0REgVpnSQIkDr4pO3bDUZk5nGXIWfJIGuSnFSKiwOFZ9sXz/Zm9AGfGYInKHSyVt1YHP70QEfmf53u3naPhyoXBEp1VzlLJihK8+WmFiChwGDxKeDsK5/oUfK8+MwZLdBY5S+W7aRyeSkQUWC1LEivxvbnsGCxRmbn6uL0Km5WILUtERIHEs1fAlVYhmF96ZgyWqNzdcKXmIPko3cFPL0RE/hdhLir1Ync6mE9aDgyWqPK64VjzjIgoYAxsVce97ixKWWLOUhkwWKLyd8OVOhrO1fxUtIWj4YiI/M9s8GhZcjjY6l8ODJaozFxDTcsa/HCEBRFR4PB86/bMWaIzY7BE5c5ZKmuCNxERBQ6dRwVvCZaYT1p2DJaozPKtdu2HpqwVvJm0REQUkLxyltjKdEYMlqjMVu8/6dXCVFb89EJEFIBpFewAKDMGS1RmDWtEeo2KO2MFb35aISIKHF5FKVnBuzwYLFGZ2QqDpNaJMWU63tUNx9FwRESBxTNniR9sz4zBEpWZa/QEE7yJiIKRx0S65c2nqOYYLFG5W5aMpWV4+yihz5wlIqLAIt1wrlZ/DsY5MwZLVGZSxKzsLUtERBSo8gpHN1PZMFiiMrPZXS1L+nIlEjJniYgoAHi8L//vz91s9S8HBktUZq4+7tJbltgPTkQU6P7enebvSwgqQRcsvfXWW0hKSkJ4eDh69eqFVatWlXr8119/jTZt2qjjO3TogLlz53rtl7yaJ598EvXq1UNERASGDh2KXbt2VfJ3EcI5S75Gw7GYBxFRwOFouBANlmbPno2JEyfiqaeewrp169CpUycMGzYMx48f93n833//jeuvvx633nor1q9fjxEjRqjln3/+cR/z4osv4o033sCMGTOwcuVKREVFqXPm5+dX4XcWZC1LhrIkeDOviYgosHikR7AXIHSDpenTp+P222/HuHHj0K5dOxXgREZGYubMmT6Pf/311zF8+HA88sgjaNu2LZ555hl07doVb775prtV6bXXXsMTTzyBK6+8Eh07dsQnn3yCI0eO4Icffqji7y4EW5ZYlJKIKGBxNFwIBksWiwVr165V3WQuer1ePV++fLnP18h2z+OFtBq5jt+3bx9SUlK8jomLi1PdeyWdUxQUFCAzM9NrqQ62Hc0s+2g4z+mtiYjI//i+HPrBUlpaGux2OxISEry2y3MJeHyR7aUd73oszznFtGnTVFDlWho1aoTqZG9qTil7i0+ky9FwRESBhpOeh2SwFEgmTZqEjIwM93Lw4EFUJykZzOciIqLqI2iCpfj4eBgMBhw7dsxruzxPTEz0+RrZXtrxrsfynFOEhYUhNjbWa6lOSm3J9Ujw5mg4IqJATfCu3NFwu49nYfr8ncjMt3pt35eWg+m/70B6rgXBJGiCJbPZjG7dumHBggVe5drleZ8+fXy+RrZ7Hi/mz5/vPr5p06YqKPI8RvKPZFRcSeckoG296hUcEhGFoiPpeZV27qHTl+CNBbvwzM9bvbZf+sZfeOPP3Zj03WYEEyOCiJQNuPnmm9G9e3f07NlTjWTLyclRo+PEmDFj0KBBA5VTJB544AEMHDgQr7zyCi699FLMmjULa9aswbvvvuvOpXnwwQfx7LPPomXLlip4mjx5MurXr69KDJBvXRrXKFvzU+GHFdZZIiIKvG6BnAJ7pc8Nt/5gutfzXIv2NVfvP4VgEjQtS2L06NF4+eWXVRHJzp07Y8OGDZg3b547QTs5ORlHjx51H9+3b1988cUXKjiSmkzffPONKgnQvn179zGPPvoo7rvvPtxxxx3o0aMHsrOz1TmliGUgybfa8eycrfh7j1Z19Zu1h/DO4j1ex8zdfFQ1e/pqUv1+/SEkPf4LthzJKLbvwIkcte/jv/e7t721cLd6jSdXyQB96f1w5f7eiIioalVEnaWtRzLx9E9bcDLHu0vNUVhmpiw2HUpX58jI9e6uCzRB1bIkxo8frxZfFi1aVGzbqFGj1FISaV2aOnWqWgLNkewj7vXPVhzAByv24IMVwLLHB+OR77XvtVNTBxrXilLr987+Uz02T7SgR9NaXuea+O0i6IzAZf/3s3q9pwte/VPte3ruUlzY0Yydx7Lw8oLVal+vlkXHOg0nodMDx/OOwq4P833RElAZDUBeKrKsWWoTR8MREQWuTEum19+bsrr0/7S/OfvTD+G/Izu4t8/fdgw6o9ZyZNdbvM7t2u40mNX2K2do50jNS8F/Lm1b6terF1XPb39PdE5WDjxnkuckJQRkZFxFJnt3+7QbLI7gSoLzZex5Y/FQ94f8fRlERNWbwwFMralWu+TPQMseK7Et2zuvN5Ct+9c6mAwmv/z9DrqWpeokzBgGnV0Pq93hnmpEGA062OzezZzhJoPqqnOnCzkBk0F77ekiTAa13VWR25MaIaEDXLtcBSjl0WLTzhVu0pech2TL0764MRzSDBVpikT/Bv3P4S4QEVFlWLetPmIbRcPiKIDJoFN/Z1zv/fIOL6vyJ8Dh8adCjpPnko5x+t8X+TthNuiRb7MXDYwuxennlr89Bp3WQSivdzid6usZ9f7PGGKwFMD+vv5vvLdkL56bu+2Mx17ZqzE+X5lcpvP+8/ylKkfpbC198kLUiDT73vlicyA3DbhnBVC39CZVIiKqQqd1Ydmyz8PJbedV6JfYf45/X0o6p7/5P1yjUh3PKlsByIOnKm8I6OlK7zNmgjcRUaDjhFTlw2ApgP22JQXv/bWvTMcu2Zla5vOea9Rfxnl0iYiomkmq4FYl1zkf/WYj/InBUgC789O1CESllg7wqOBNREQBxOO9uyJKB1Slr9Z4l7KpagyWqPw/NJy5moiIqhEGS1RuZYqVGFAREVGI4Gi4APa48UsYoJUDCCRhC5aVHAxZcqr6coiIqJwmGr9BLkooLhyo7MMAg3/CFgZLAWycYR7CdAFYAn5FGY4xa1XFiYgocNhNMTBYs3CjMXiKUbo5i9cNrCoMlgLYu/ZLYQzAlqW7BzYv/YCE84C4hlV1OUREVEYHL5yBX3+aFZT3626Zb8tPGCwFsFds1yIQ3X2h/wuEERFR+SV2uRgvfBeco5Xv9lMXnGCCdwC7b3ALf18CERGFEJka658pwxCMnGWZQ6WSMFgKYGFG/vcQEVHFig4zIiE2yJK74VHGzw/41ziA1YwqYf41IiKic/DsiA5Bd/+cfvzaDJYCmOkMMy3HR59dMBVlNqBxrcizem1chOmsXkdERIHjwnYJWPzIBSXu3/nsxVj7xFBsOYsuuw1PXoj1ky9U5yirzU9fFNDdcEzwDmCGUiZhiwk3nmFC29L7rGMjzu6/nvPCERGFBvlbUBKzUY/a0WfXVRcVZoTJoH3YjzQbkGs586jumPAzfxBnyxL5dEmHel7Pm8UX1S6aObZHmfpvW9aNRs1I7YcwwmRQ6zNu6oYXr+6EWlFm9YOcGBuOG3o1LvEc3ZrUdK+/N6Y7/7eIiEJA3ZiiYKhL4xo+/9acDYPHB/myTI/1+nWd1ePlnep7ba99WiqKP3OWdE5/tmuFiMzMTMTFxSEjIwOxsbEVem7P/x5pSXI9l/Xuz85HWral2Gv2TbvE57lcr3e1SLnWPR+vfWc5Vu8/5XWe078uERGFBs/39pLe55Me/0U9XtQuAe/c1M3jtdpkDjaHEy3/86t7+/7ni8rLdHjqN2QV2Nx/U5pOmqvWb+nXFJMva1vs650ekshTi92hgi6TQVfhf4PK+veb3XAB7vQfDM/nJTWhlvbD5LnPte75GGk2lnosERGFjvK8z4eZDKcdf+b0jMgwgztY8nxtSYFP8b95QLi+5O7CqsIE7yA241/d0KR2pCoxIM2psj792k7ndM6pV56HpvFRmDYy+EZKEBFRxZtyxXmqa27SxW1KzK+9tDBtZGSXBl77JHVD/jbN+FdX9fzR4a3Rom407jzTTBABht1wAd4NR0RERP79+82WJSIiIqJSMFgiIiIiKgWDJSIiIqJSMFgiIiIiKgWDJSIiIqJSMFgiIiIiKgWDJSIiIqJSMFgiIiIiKgWDJSIiIqJQCJZOnjyJG2+8UVXYrFGjBm699VZkZ2eX+pr8/Hzce++9qF27NqKjo3H11Vfj2LFjxeahOX2ZNWtWJX83REREFCyCJliSQGnLli2YP38+5syZgyVLluCOO+4o9TUTJkzAzz//jK+//hqLFy/GkSNHMHLkyGLHffjhhzh69Kh7GTFiRCV+J0RERBRMgmJuuG3btqFdu3ZYvXo1unfvrrbNmzcPl1xyCQ4dOoT69esXe43M81KnTh188cUXuOaaa9S27du3o23btli+fDl69+6ttklL0vfff39OARLnhiMiIgo+ITU3nAQ30vXmCpTE0KFDodfrsXLlSp+vWbt2LaxWqzrOpU2bNmjcuLE6nyfpqouPj0fPnj0xc+ZMnCl+LCgoUDfYcyEiIqLQZEQQSElJQd26db22GY1G1KpVS+0r6TVms1kFWZ4SEhK8XjN16lQMHjwYkZGR+P3333HPPfeoXKj777+/xOuZNm0apkyZcs7fFxEREQU+vwZLjz/+OF544YUzdsFVpsmTJ7vXu3TpgpycHLz00kulBkuTJk3CxIkT3c+l+U5arNjCREREFDxcf7fP1KPk12DpoYcewtixY0s9plmzZkhMTMTx48e9tttsNjVCTvb5ItstFgvS09O9WpdkNFxJrxG9evXCM888o7rawsLCfB4j2z33uW52o0aNSv1eiIiIKPBkZWWp3KWADJYkAVuWM+nTp48KeiQPqVu3bmrbn3/+CYfDoYIbX+Q4k8mEBQsWqJIBYseOHUhOTlbnK8mGDRtQs2bNEgMlXyTB/ODBg4iJiVEJ49WZBI4SNMr9KC1ZjnifgwV/pnmfQwl/nr1Ji5IESr4GigVdzpKMYBs+fDhuv/12zJgxQyVujx8/Htddd537Gzx8+DCGDBmCTz75RCVqS4QotZiku0xym+QP93333acCJddIOCkrIC1N8jw8PFyVJfjvf/+Lhx9+uFzXJ4nmDRs2rJTvPVjJ/WawxPscSvgzzfscSvjzXKS0FqWgCpbE559/rgIkCYgkOJHWojfeeMO9XwIoaTnKzc11b3v11Vfdx0q32rBhw/B///d/7v3S8vTWW2+pekwSXbZo0QLTp09XQRkRERFR0NRZouDBmlO8z6GGP9O8z6GEP89nJyjqLFHwkFyvp556qlw5X8T7HMj4M837HEr483x22LJEREREVAq2LBERERGVgsESERERUSkYLBERERGVgsESERERUSkYLFVzUmcqKSlJFeWUauirVq0q8dgtW7aomlVyvFQqf+2113xOMtyjRw9VzVwmPx4xYoSqf+VJJjK+6aab1LQzUVFR6Nq1K7799luvY9atW4cLL7xQTVVTu3Zt3HHHHWqC42Dlj/u8Z88eXHXVVapKvhSgu/baa1URVk8yZdCNN96o9su9lkKuvM8Vf5+fe+459O3bV03Yffrk3sEoEH+e9+/fr35+mzZtioiICDRv3lyNzJVpr4JZIN5rccUVV6g5UeW66tWrp97Tjxw5glDFYKkamz17tqpwLm8oEpx06tRJFe48fR4+Fyn4KXP1Pf/88yXOr7d48WLce++9WLFihaqILsVCL7roIjVBscuYMWPUL+dPP/2EzZs3Y+TIkeqXcf369Wq//MINHTpUFQlduXIl5s2bp94EzjSPYKDyx32WR3kub5gyNdCyZcvUH43LL79cTRPkIoGS3Fs5x5w5c7BkyRIVmAajQL7Psm3UqFG4++67EewC9T5v375drb/zzjvqZ1qKEsuMD//+978RrAL1XotBgwbhq6++Uu/l8mFXAqxrrrkGIUuKUlL11LNnT+e9997rfm63253169d3Tps27YyvbdKkifPVV18943HHjx+XoqfOxYsXu7dFRUU5P/nkE6/jatWq5XzvvffU+jvvvOOsW7euuh6XTZs2qfPs2rXLGWz8cZ9/++03p16vd2ZkZLiPSU9Pd+p0Ouf8+fPV861bt6rXrF692n3Mr7/+qo45fPiwM9gE6n329OGHHzrj4uKcwSwY7rPLiy++6GzatKkzWAXTvf7xxx/VMRaLxRmK2LJUTcknBZmYWFpwXGRqGHm+fPnyCvs6GRkZ6lHm53OR7gj5xCRdQPJJZdasWcjPz8cFF1yg9svUNGazWV2PizSri6VLlyKY+Os+yz2UT4aexUGluVy+tuseyteXLqHu3bu7j5HrkmOkRS+YBPJ9DiXBdp/lPJ7vPcEkmO71yZMn1ZRk8t4u04iFIgZL1VRaWhrsdjsSEhK8tstzySmqCBIIPfjgg+jXrx/at2/v3i5Nt9L0K7lI8gt555134vvvv1fdbmLw4MHqGl566SX1hnHq1Ck8/vjjat/Ro0cRTPx1n2VyaMkHe+yxx1TTvDStywTRci2ueyhfX3IWPBmNRvWmWVHXVlUC+T6HkmC6z7t378b//vc/9f4SjILhXj/22GPqWHkvT05Oxo8//ohQxWCJKo30i//zzz+q5cjT5MmTkZ6ejj/++ANr1qxRffKSsyT5S+K8887Dxx9/jFdeeUUlxErfuyRtypuEZ2sTlXyfJTHz66+/xs8//4zo6Gg1q7bcc0mm5z2suJ9n3ufAvM+HDx/G8OHDVZ4YJ0avvHv9yCOPqFzT33//HQaDQeWjhup0s0Z/XwD5R3x8vPrhPn2EgzwvKTGwPMaPH+9OGG7YsKF7uyQBvvnmm+oXVIIiIUmLf/31lxr1IQmZ4oYbblCLXI98cpFm4enTp6vkxWDir/ssJElT7rd8QpUWI+lyk6/puoeyfnqiqM1mU03qFXFtVSmQ73MoCYb7LANEJPlYuoTeffddBKtguNfx8fFqadWqFdq2bYtGjRqpxPE+ffog1PBjejUlOUHdunXDggULvJpk5fm5/KDLpwr5JZRuNRlJIS1CnqRZV5z+CUXeFDxHWrhIa5J8upEcJ+k3l3ICwcRf99mTvJnJm50cJ8GRDPkV8vXlE6PkRbjIMXJ9MkQ5mATyfQ4lgX6fpUVJch/lGj/88MOgbkUN9Ht9Otf7t+Q8hSR/Z5iT/8yaNcsZFhbm/Oijj9TIqDvuuMNZo0YNZ0pKitp/0003OR9//HH38QUFBc7169erpV69es6HH35YrXuOULv77rvVaJ9FixY5jx496l5yc3PVfhkp0aJFC+eAAQOcK1eudO7evdv58ssvq1EUv/zyi/s8//vf/5xr16517tixw/nmm286IyIinK+//rozGPnjPouZM2c6ly9fru7xp59+qkYcTpw40evahg8f7uzSpYv6v1i6dKmzZcuWzuuvv94ZjAL5Ph84cECde8qUKc7o6Gj3183KynIGm0C9z4cOHVLvLUOGDFHrnucJVoF6r1esWKHeo+Xc+/fvdy5YsMDZt29fZ/PmzZ35+fnOUMRgqZqTH/jGjRs7zWazGqYqvwQuAwcOdN58883u5/v27VNDTE9f5DgXX/tlkSHTLjt37nSOHDlSlQeIjIx0duzYsVgpAXkTkF9QuS5f+4ONP+7zY4895kxISHCaTCYVBL3yyitOh8PhdV0nTpxQwZH8AY+NjXWOGzcuKP+AB/p9lq/r6zwLFy50BqNAvM9ybEnnCWaBeK83bdrkHDRokHqPlmAuKSnJedddd6kgNVTp5B9/t24RERERBarg7dAlIiIiqgIMloiIiIhKwWCJiIiIqBQMloiIiIhKwWCJiIiIqBQMloiIiIhKwWCJiIiIqBQMloiIiIhKwWCJiELKokWL1MTLMu9dVZOvK4vMp1Wea5VlxIgRlX59RHR2GCwRUdCSSVMffPBBr20y2/zRo0cRFxfnl2uSCVx37txZpmNd13rttddW+nUR0dljsEREIUVma09MTFStNf4grUp169Yt17VGRERU+nUR0dljsEREQWns2LFYvHgxXn/9dXdX1v79+4t1w3300UcqgJkzZw5at26NyMhIXHPNNcjNzcXHH3+MpKQk1KxZE/fffz/sdrv7/AUFBXj44YfRoEEDREVFoVevXurc5bVx40YMGjQIMTExiI2NRbdu3bBmzZoKvRdEVLmMlXx+IqJKIUGSdHe1b98eU6dOVdvq1KmjAqbTSWD0xhtvYNasWcjKysLIkSNx1VVXqSBq7ty52Lt3L66++mr069cPo0ePVq8ZP348tm7dql5Tv359fP/99xg+fDg2b96Mli1blvk6b7zxRnTp0gVvv/02DAYDNmzYAJPJVIF3gogqG4MlIgpKkpMk3VjSUiRdWaWxWq0qWGnevLl6Li1Ln376KY4dO4bo6Gi0a9dOtf4sXLhQBUvJyckq90geJVAS0so0b948tf2///1vma9TzvHII4+gTZs26nl5Ai0iCgwMlogo5ElA5QqUREJCgup+k0DJc9vx48fVurQeSZdcq1atvM4jXXO1a9cu19eeOHEibrvtNhWcDR06FKNGjfK6FiIKfAyWiCjknd7tJTlNvrY5HA61np2drbrM1q5dqx49eQZYZfH000/jhhtuwC+//IJff/0VTz31lOrak25AIgoODJaIKGhJN5xnUnZFkRwjOa+0NA0YMOCczyctVLJMmDAB119/verKY7BEFDw4Go6IgpZ0pa1cuVIldaelpblbhs6VBDaSmD1mzBh899132LdvH1atWoVp06apFqKyysvLU4niMoruwIEDWLZsGVavXo22bdtWyHUSUdVgsEREQUuSrqWbTBK0ZSScJFNXFGn9kWDpoYceUiUHpMK2BDqNGzcu8znk2k6cOKHOIwGYFJ+8+OKLMWXKlAq7TiKqfDqn0+msgq9DRBTyJO9JSgyUd+oSqRkldaF++OGHSrs2Ijp7bFkiIqpAkpPUsGHDMh37119/qYTxzz//nP8HRAGMLUtERBVk9+7d7u63pk2blimn6fDhw2pdgqYz1YsiIv9gsERERERUCnbDEREREZWCwRIRERFRKRgsEREREZWCwRIRERFRKRgsEREREZWCwRIRERFRKRgsEREREZWCwRIRERERSvb/sI5NXTb1REUAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[ 2.64505997e-01 4.02090770e-05 2.00000002e-04 1.29103779e-01\n", " -9.73104934e-03 6.05226787e-02]\n" ] } ], "source": [ "from scipy.optimize import curve_fit\n", "\n", "# Define fit function\n", "def gauss_trunc(t, amp, sig, tau, t0, baseline, offset):\n", " y = amp*np.exp(-np.square(t-t0)/(2*(sig**2))) + offset\n", " y[np.abs(t - t0) > tau] = baseline\n", " return y\n", "\n", "# Perform fit\n", "p0 = [0.3, 40e-6, 5*40e-6, np.mean(x), -0.02, 0.07]\n", "popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n", "\n", "# Plot\n", "plt.plot(x, y, label='data')\n", "plt.plot(x, gauss_trunc(x, *p0), label='guess')\n", "plt.plot(x, gauss_trunc(x, *popt), label='fit')\n", "plt.xlabel('time [s]')\n", "plt.ylabel('photodiode voltage [V]')\n", "plt.legend()\n", "plt.show()\n", "\n", "print(popt)" ] }, { "cell_type": "markdown", "id": "32e0c378-e741-428e-93e1-bd3456eea177", "metadata": {}, "source": [ "First of all, it looks like the Gaussian isn't truncated how I expected from ARTIQ. Second of all there is a pretty large pedistal at low powers. This might have an effect at lower Bragg amplitudes.\n", "\n", "Now lets fit all of the measured scope traces." ] }, { "cell_type": "code", "execution_count": 5, "id": "dbb5b921-683c-4188-8648-a9f81a699671", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/d7/6t4hylss1p9_9vftvfm4fbm80000gn/T/ipykernel_41297/3559232809.py:12: OptimizeWarning: Covariance of the parameters could not be estimated\n", " popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n" ] } ], "source": [ "measured_amp_V = []\n", "measured_offset_V = []\n", "\n", "for i in range(len(amps)):\n", "\n", " # Get data for this amplitude\n", " x = xdata[i,0,0,:]\n", " y = ydata[i,0,0,:]\n", " \n", " # Perform fit\n", " p0 = [0.3, 40e-6, 5*40e-6, np.mean(x), -0.02, 0.07]\n", " popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n", "\n", " # Save fit offset and amplitude\n", " measured_amp_V.append(popt[0])\n", " measured_offset_V.append(popt[5])\n", "\n", "measured_amp_V = np.array(measured_amp_V)\n", "measured_offset_V = np.array(measured_offset_V)" ] }, { "cell_type": "markdown", "id": "b289e0f1-a648-4cc8-b06f-6d849c76e1a8", "metadata": {}, "source": [ "Now lets fit the relationship between the maximum measured photodiode amplitude in volts (including the offset) and the function generator amplitude." ] }, { "cell_type": "code", "execution_count": 6, "id": "60a95e30-92eb-4b44-ab8b-2f97c008dbcb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "y=mx+b\n", "m=5.298e-03 V [photodiode]/mV [func gen]\n", "b=4.703e-02 V [photodiode]\n" ] } ], "source": [ "from scipy.stats import linregress\n", "\n", "# Perform linear regression\n", "res = linregress(amps, measured_amp_V+measured_offset_V)\n", "\n", "# Plot\n", "plt.plot(amps, measured_amp_V + measured_offset_V, label='data')\n", "plt.plot(amps, res.intercept + res.slope*amps, label='fit')\n", "plt.xlabel('function generator voltage [mV]')\n", "plt.ylabel('voltage on photodiode at gaussian peak [V]')\n", "plt.legend()\n", "plt.show()\n", "\n", "# Print result\n", "print('y=mx+b\\nm=%0.3e V [photodiode]/mV [func gen]\\nb=%0.3e V [photodiode]' % (res.slope, res.intercept))" ] }, { "cell_type": "markdown", "id": "cbece641-1822-45b8-81f8-1e096a4d1364", "metadata": {}, "source": [ "#### Relating beam power to photodiode voltage\n", "In [this lab note](https://www.notion.so/Interferometry-beam-power-calibration-1d9a2d697f25470d94367df9b40caffc?pvs=4) I recorded that the photodiode voltage is related to beam power $P$ via 46.38mW/V." ] }, { "attachments": { "b48452b2-893e-4234-9c3a-b138da1c232f.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "5edf26b0-fb65-4d27-9b1e-96bf31debdfb", "metadata": {}, "source": [ "#### Relating $I$ to $\\Omega$\n", "\n", "Next lets relate the local intensity $I$ to the Rabi frequency $\\Omega$. Here I am using code from `aisim/raman_transition_magic_wavelength.nb` to compute the relationship between $I$ and $\\Omega$:\n", "\n", "![Screenshot 2024-02-06 at 1.35.48 PM.png](attachment:b48452b2-893e-4234-9c3a-b138da1c232f.png)\n", "\n", "Great, we see $\\Omega=0.000937888I$, where $I$ is measured in mW/cm$^2$ and $\\Omega$ is measured in Megahertz." ] }, { "cell_type": "markdown", "id": "cef84ebe-84c5-42b9-bfb3-a9cfeb86dfc9", "metadata": {}, "source": [ "#### Relating beam power to $I$\n", "First lets relate the pit photodiode voltage to the center beam intensity. The beam intensity has a Gaussian profile. Integrating over this profile gives us a power\n", "$$P=\\int_{-\\infty}^\\infty\\int_{-\\infty}^\\infty I_0\\exp\\left(-2\\frac{x^2+y^2}{w_0^2}\\right)\\mathrm{d}x=\\pi I_0w_0^2/2$$" ] }, { "cell_type": "markdown", "id": "ff9c11fd-752e-4390-a58e-164080173f92", "metadata": {}, "source": [ "#### Putting this all togeather" ] }, { "cell_type": "markdown", "id": "85dbde1e-7f22-41a4-ba0c-6b54f8b40db9", "metadata": {}, "source": [ "Let $V_p$ be the photodiode voltage in V and $V_f$ be the function generator voltage in mV. [Above](#Relating-function-generator-amplitude-to-beam-power) we found that\n", "$$V_p=4.7\\times10^{-2} + 5.3\\times10^{-3}V_f$$" ] }, { "cell_type": "markdown", "id": "42b03c63-0219-4bb0-a788-48f86c33db6b", "metadata": {}, "source": [ "We know from [here](#Relating-beam-power-to-photodiode-voltage) that the photodiode voltage is related to beam power via $P=46.38V_p$, where $P$ is in mW. We also found that $I_0=2P/\\pi w_0^2$" ] }, { "cell_type": "markdown", "id": "ed7e3aba-80c3-44b9-a1d6-912533239ebd", "metadata": {}, "source": [ "Finally we can relate the central beam intensity to the Rabi frequency in MHz via $\\Omega^\\mathrm{eff}_0=0.000937888I_0$." ] }, { "cell_type": "markdown", "id": "5837c3ab-92ba-41f0-b771-7474e2df9e28", "metadata": {}, "source": [ "Plugging these all in we find\n", "$$\\Omega^\\mathrm{eff}_0=\\frac{0.00130155}{w_0^2} + \\frac{0.00014677 V_f}{w_0^2}$$\n", "where $w_0$ is in cm. For the collimator we currently use $w_0=0.767$cm. So\n", "$$\\Omega^\\mathrm{eff}_0=0.00221243+0.000249486V_f$$\n", "Converting $\\Omega^\\mathrm{eff}_0$ into units of $\\omega_\\mathrm{r}$ we find\n", "$$\\Omega^\\mathrm{eff}_0=0.170435+0.0192192V_f$$" ] }, { "cell_type": "markdown", "id": "f216c14a-af80-467b-99d4-2685c4860478", "metadata": {}, "source": [ "How does this match up to the experiment? In section [Comparison of Bragg power, detuning scan with simulation comparison 2](#Experiment-and-simulation-comparison-2) I perform the following conversion on the function generator amplitudes to get the experimental data to line up with the simulated data\n", "```python\n", "# Align bragg amplitude\n", "bragg_amplitudes_aligned = (bragg_amplitudes + 6)/26\n", "```\n", "Note that\n", "$$1/26\\approx0.0384\\approx2\\times0.0192192$$\n", "$$6/26=0.231=2\\times0.115$$\n", "So aside from what seems to be a factor of two error somewhere, my calcuation seems to agree well with what I found from my manual fit attempt." ] }, { "cell_type": "markdown", "id": "b45b3761-7250-4082-894f-5f361a34b16d", "metadata": {}, "source": [ "### Modeling the Bragg pulse profile in time\n", "\n", "Above we saw that there is a large pedistal on the Bragg pulse. We need to include this pedistal in the model to replicate our experimental data. To do this I will make a model that can describe the pulses recorded by the pit photodiode." ] }, { "cell_type": "code", "execution_count": 7, "id": "a9a4f59c-f78f-4e0a-8788-31802005057f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define fit function\n", "def gauss_trunc(t, amp, sig, tstart, tend, t0, baseline, offset):\n", " y = amp*np.exp(-np.square(t-t0)/(2*(sig**2))) + offset\n", " y[t < tstart] = baseline\n", " y[t > tend] = baseline\n", " return y\n", "\n", "# Perform fit\n", "p0 = [0.3, 40e-6, 0.12888, 0.1293, np.mean(x), -0.02, 0.07]\n", "popt, pcov = curve_fit(gauss_trunc, x, y, p0, method='trf')\n", "\n", "# Plot\n", "plt.plot(x, y, label='data')\n", "plt.plot(x, gauss_trunc(x, *p0), label='guess')\n", "plt.plot(x, gauss_trunc(x, *popt), label='fit')\n", "plt.legend()\n", "plt.xlabel('time [s]')\n", "plt.ylabel('photodiode voltage [V]')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "92b06759-99f2-42da-894e-f1337a47984b", "metadata": {}, "source": [ "For some reason this isn't fitting the pedistal start and end times. Let me sweep over those and see which one has the lowest sum of residuals" ] }, { "cell_type": "code", "execution_count": 8, "id": "f492a158-fe93-4829-9a88-bbeca04c736f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best value for tstart is 0.12890\n", "Best value for tend is 0.12925\n" ] } ], "source": [ "fnc = lambda *x: gauss_trunc(x[0], popt[0], popt[1], x[1], x[2], popt[4], popt[5], popt[6])\n", "\n", "# Compute residuals scanning tstart, remember tstart that results in smallest residual\n", "tstarts = np.linspace(0.1288, 0.1289)\n", "min_resid = np.sum(np.abs(y - fnc(x, tstarts[0], 0.1293)))\n", "min_resid_idx = 0\n", "for i in range(len(tstarts)):\n", "\n", " resid = np.sum(np.abs(y - fnc(x, tstarts[i], 0.1293)))\n", " if resid < min_resid:\n", " min_resid = resid\n", " min_resid_idx = i\n", "\n", "print(\"Best value for tstart is %0.5f\" % tstarts[min_resid_idx])\n", "tstart = tstarts[min_resid_idx]\n", "\n", "# Do the same but for tend\n", "tends = np.linspace(0.12925, 0.12935)\n", "min_resid = np.sum(np.abs(y - fnc(x, tstart, tends[0])))\n", "min_resid_idx = 0\n", "for i in range(len(tends)):\n", "\n", " resid = np.sum(np.abs(y - fnc(x, tstart, tends[i])))\n", " if resid < min_resid:\n", " min_resid = resid\n", " min_resid_idx = i\n", "\n", "print(\"Best value for tend is %0.5f\" % tends[min_resid_idx])\n", "tend = tends[min_resid_idx]" ] }, { "cell_type": "markdown", "id": "06a5c41e-5bb2-4456-9fb8-53f4f4234302", "metadata": {}, "source": [ "Now lets fit the trace again" ] }, { "cell_type": "code", "execution_count": 9, "id": "10bb13ed-d62a-4025-9920-fce54fe4cf45", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define fit function\n", "def gauss_trunc(t, amp, sig, t0, baseline, offset):\n", " tstart, tend = 0.12889, 0.12930\n", " y = amp*np.exp(-np.square(t-t0)/(2*(sig**2))) + offset\n", " y[t < tstart] = baseline\n", " y[t > tend] = baseline\n", " return y\n", "\n", "# Perform fit\n", "p0 = [0.3, 40e-6, np.mean(x), -0.02, 0.07]\n", "popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n", "\n", "# Plot\n", "plt.plot(x, y, label='data')\n", "plt.plot(x, gauss_trunc(x, *p0), label='guess')\n", "plt.plot(x, gauss_trunc(x, *popt), label='fit')\n", "plt.legend()\n", "plt.xlabel('time [s]')\n", "plt.ylabel('photodiode voltage [V]')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "20e62e1c-18fb-4be6-82b5-b9c40820a7a0", "metadata": {}, "source": [ "That looks good. Lets scan this over all recorded photodiode traces and see how the model holds up." ] }, { "cell_type": "code", "execution_count": 10, "id": "f04eff5b-f5e9-4e5d-84f5-f02fa983303d", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "18cb009e2ae443a9b587b0bfbc9dded4", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=19, description='i', max=39), Output()), _dom_classes=('widget-interact'…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ipywidgets import interact\n", "\n", "# Create update function\n", "def update(i):\n", "\n", " # Get y\n", " y = ydata[i, 0, 0, :]\n", "\n", " # Plot\n", " plt.figure()\n", " ldata, = plt.plot(x, y, label='data')\n", "\n", " # Fit\n", " p0 = [0.3, 40e-6, np.mean(x), -0.02, 0.07]\n", " popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n", "\n", " # Plot\n", " lfit, = plt.plot(x, gauss_trunc(x, *popt), label='fit')\n", " plt.legend()\n", " plt.xlabel('time [s]')\n", " plt.ylabel('photodiode voltage [V]')\n", "\n", " # Set yaxis limits\n", " plt.ylim([np.min(y), np.max(y)])\n", "\n", " # Update title\n", " plt.title('offset-baseline=pedestal=%0.5f\\nt0=%0.5f' % (popt[4]-popt[3], popt[2]))\n", "\n", " # Show\n", " plt.show()\n", "\n", "# Make interactive\n", "interact(update, i=(0, ydata.shape[0]-1))" ] }, { "cell_type": "markdown", "id": "5b550f41-8dc7-43b5-a66e-459c153c084e", "metadata": {}, "source": [ "The model seems to work well and the pedestal height is roughly constant. The central time is consistently 0.12910. I am going to average across all pedestal heights and take the average to be the official pedestal height." ] }, { "cell_type": "code", "execution_count": 11, "id": "0f760cfe-3f3b-4468-b82b-4435b3a1ba76", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean pedestal (offset-baseline) height = 0.08190\n" ] } ], "source": [ "pedestal_heights = []\n", "for i in range(len(amps)):\n", "\n", " # Extract dataset\n", " y = ydata[i, 0, 0, :]\n", "\n", " # Fit and save pedestal height\n", " p0 = [0.3, 40e-6, np.mean(x), -0.02, 0.07]\n", " popt, pcov = curve_fit(gauss_trunc, x, y, p0)\n", " pedestal_heights.append(popt[4]-popt[3])\n", "\n", "# Average across all heights\n", "print('mean pedestal (offset-baseline) height = %0.5f' % np.mean(np.array(pedestal_heights)))" ] }, { "cell_type": "markdown", "id": "21c079fe-9b17-4c1a-9479-9b49a570aa6b", "metadata": {}, "source": [ "Lets convert this into a Rabi frequency using our result from [an earlier section](#Relating-beam-power-to-photodiode-voltage). There we ultimated related the function generator voltage to the Rabi frequency. Here I want to relate a photodiode voltage to a Rabi frequency, so I will need to combine a few of the results from that section in a different way:\n", "\n", "Relationship between beam power $P$ in mW and photodiode voltage in V: $P=46.38V_p$\n", "\n", "Relationship between central beam intensity and beam power: $I_0=2P/\\pi w_0^2$\n", "\n", "Relationship between effective Rabi frequency in MHz and intensity in mW/cm^2: $\\Omega^\\mathrm{eff}_0=0.000937888I_0$.\n", "\n", "Putting all of these togeather we find the Rabi frequency in recoil frequencies is related to the photodiode voltage in V via $\\Omega^\\mathrm{eff}_0=3.62628 V_p$" ] }, { "cell_type": "markdown", "id": "5f552fbd-8003-46d5-bda9-a42ffddad3da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "In [section](#Relating-beam-power-to-photodiode-voltage) I had found a factor of two disagreement when comparing to the experiment. Assuming that I missed this factor of two somewhere, the effective Rabi frequency should be related to photodiode voltage via $\\Omega^\\mathrm{eff}_0=2\\times3.62628 V_p=7.25256 V_p$. **Therefore I am estimating the pedistal height produces an effective Rabi frequency pedestal of** $\\Omega^\\text{eff}_0=7.25256\\times0.08190=0.5940$." ] }, { "cell_type": "markdown", "id": "3e4c1047-13d0-44a4-ba79-4ff3c279f523", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Note that it is important I get this initial value for the pedestal height right as it will make the precompute tables much more expensive to generate. Scanning over the pedestal height as well as the effective Rabi frequency means adding another dimension to the precompute table scan." ] }, { "cell_type": "markdown", "id": "af14da9a-c523-4f31-9d78-caf213a86502", "metadata": {}, "source": [ "The final thing to do now is to convert the model of the Gaussian into the units used in the simulation, namely t0, tstart, and tend:" ] }, { "cell_type": "code", "execution_count": 12, "id": "5d9d05af-12b8-4fbb-bd2f-ee6343e5d030", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t0-tstart=2.59621 in recoil units\n", "tend-t0=1.94716 in recoil units\n" ] } ], "source": [ "t0 = 0.12910\n", "print(\"t0-tstart=%0.5f in recoil units\" % ((t0 - tstart)*2*np.pi*2066))\n", "print(\"tend-t0=%0.5f in recoil units\" % ((tend - t0)*2*np.pi*2066))" ] }, { "cell_type": "markdown", "id": "f48bf5b6-45ec-47b8-9592-41a8be03652b", "metadata": {}, "source": [ "## Model" ] }, { "cell_type": "markdown", "id": "e070f6cc-95ac-4f0a-9b53-1e622df86699", "metadata": {}, "source": [ "The model consists of solving the Bragg Hamiltonian with a transverse position spread and a slight pedistal that comes from the imperfect operation of the pulse-shaper. Here I will describe how these effects are incorporated into the model. I will also describe how to think about the velocity spread of the atoms, although this is omitted from the model." ] }, { "cell_type": "markdown", "id": "aa8b1607-9154-4863-95b3-4e45429b5b99", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Multi Atom Simulation: Velocity spread\n", "\n", "Lets try accounting for the vertical velocity spread of the atoms in the cloud. I will do this by simulating the Bragg pulse over a range of initial velocities and then weighing those velocities by the proportion of that velocity class in the cloud at the start of the Bragg pulse." ] }, { "cell_type": "markdown", "id": "1a99dc20-fbdc-4e53-b6ac-42100390d1ac", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "First lets recall how the detuning is defined for the system that the :py:func:`mwave.integrate.propagate` function solves" ] }, { "cell_type": "markdown", "id": "f2f335a2-c571-4115-81ec-8a4f2012e03a", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "$$\\delta=\\omega_1-\\omega_2$$\n", "To get a resonant Bragg process we must set\n", "$$\\delta=4\\omega_\\text{r}(n_0+n_\\text{f})$$\n", "where $n_0$ and $n_\\text{f}$ describe the Bragg order, i.e. $n=1$ would describe a process where $2\\hbar k$ photons are transferred. This condition comes from the Bragg diffraction derivation.\n", "\n", "Now lets figure out how the Doppler shift will modify $\\delta$. Recall $\\omega'=\\omega-kv=\\omega-\\omega v/c=\\omega(1-v/c)$, so\n", "$$\\delta'=\\omega_1'-\\omega_2'=\\omega_1(1-v/c)-\\omega_2(1+v/c)=\\delta-\\omega_1v/c-\\omega_2v/c=\\delta-(\\omega_1+\\omega_2)v/c\\approx\\delta-2v\\omega/c$$\n", "We define all frequencies in terms of the recoil frequency, so\n", "$$\\delta'/\\omega_\\text{r}\\approx\\delta/\\omega_\\text{r}-2v\\omega/\\omega_\\text{r}c=\\delta/\\omega_\\text{r}-2v\\frac{\\omega}{c}\\frac{2m}{\\hbar k^2}=\\delta/\\omega_\\text{r}-2v\\frac{2m}{\\hbar k}=\\delta/\\omega_\\text{r}-4v/v_\\text{r}$$\n", "\n", "If we want to plug in a velocity in m/s then\n", "$$\\delta'\\approx\\delta-2v(2\\pi\\times351.7257185)/299792458=\\delta-2v\\times7.37163\\times10^6$$\n", "We are defining all our frequencies in terms of the recoil frequency, so we need to divide this final term by a recoil frequency\n", "$$\\delta'\\approx\\delta-2v\\times7.37163\\times10^6/(2\\pi\\times2066)=\\delta-2v\\times567.875$$ " ] }, { "cell_type": "code", "execution_count": 13, "id": "d2a64fa7-1322-40f9-acdf-6271cf2a4248", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [01:16<00:00, 1.53s/it]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mwave.integrate import make_kvec, make_phi, propagate, omega_fnc_gaussian, phase_fnc_constant\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from tqdm import tqdm\n", "\n", "# Vectorized Gaussian-pulse propagate call (replaces the legacy gbragg helper).\n", "# gbragg used to fix the Gaussian center at tfinal/2; we replicate that here by\n", "# passing t0=tfinal/2 in omega_args for omega_fnc_gaussian.\n", "def vgbragg(kvec, omega, sigma, tfinal, delta, v_offset=0):\n", " out = np.full((len(omega), len(kvec)), np.nan, dtype=np.complex128)\n", " phi0 = make_phi(kvec, n0)\n", "\n", " for i in range(len(omega)):\n", " result = propagate(\n", " kvec, phi0, tfinal, delta - 4*v_offset,\n", " omega_fnc_gaussian, np.array([omega[i], sigma, tfinal/2]),\n", " phase_fnc_constant, np.array([0.0]),\n", " )\n", " out[i,:] = result.phi_final\n", "\n", " return out\n", "\n", "# Create function to compute bragg pulse across velocity spread\n", "def vdist(kvec, omega, sigma, tfinal, delta, v_sigma, v0, vs):\n", "\n", " # Create an array to store outputs in\n", " phi = np.full((len(vs), len(omega), len(kvec)), np.nan, dtype=np.complex128)\n", " \n", " # Loop over vs\n", " for i in tqdm(range(len(vs))):\n", " phi[i,:,:] = vgbragg(kvec, omega, sigma, tfinal, delta, v_offset=vs[i])\n", "\n", " # Calculate populations\n", " pops = np.abs(phi)**2\n", "\n", " # Calculate velocity weights\n", " weights = np.exp(-np.square(vs - v0)/(2*v_sigma**2))/v_sigma/np.sqrt(2*np.pi)\n", "\n", " # Weight populations and sum\n", " weighted_pops = np.einsum('ijk,i->jk', pops, weights, optimize=True)\n", " \n", " # Return\n", " return weighted_pops, pops, weights\n", "\n", "# Set parameters\n", "n0, nf = 0, -1\n", "sigma = 40e-6*2066*2*np.pi\n", "tfinal = 10*sigma\n", "\n", "# Set velocity distribution\n", "v0 = 0\n", "v_sigma = 0.3\n", "vs = np.linspace(-1,1,50)\n", "\n", "# Compute kvec and sbragg_orders\n", "kvec, n0_idx, nf_idx = make_kvec(n0,nf)\n", "orders = kvec/2\n", "\n", "# Compute population\n", "omega_effs = np.linspace(0,60)\n", "pops, _, _ = vdist(kvec, omega_effs, sigma, tfinal, 4*(n0+nf), v_sigma, v0, vs)\n", "\n", "# Plot\n", "plt.figure(figsize=(8.5, 4))\n", "plt.plot(omega_effs, pops)\n", "plt.legend([\"n=%i\" % bo for bo in orders])\n", "plt.xlabel(\"Bragg amplitude [arb.]\")\n", "plt.ylabel(\"Population\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "08042fb7-c8e0-4500-a1d0-c220bf931096", "metadata": {}, "source": [ "### Multi Atom Simulation: Transverse spatial spread\n", "\n", "Lets try accounting for the transverse spatial spread of the cloud. I think this is a bit more promising than our previous attempt because we know that there is a spatial spread of atoms but we have little evidence for a large velocity spread. I will do this by simulating the Bragg pulse over a range of intensities and then weighing the Bragg process by the intensities sampled by different atoms in the cloud.\n", "\n", "The effective Rabi frequency is given by\n", "$$\\Omega_\\text{eff}=\\frac{\\Omega_1\\Omega_2}{\\Delta}\\propto I$$\n", "since $\\Omega\\propto I^2$. The intensity of the laser beam is approximately given by\n", "$$I\\propto\\exp\\left(-2\\frac{x^2+y^2}{w_0^2}\\right)$$\n", "here $w_0$ is the $1/e^2$ radius. In our experiment $w_0\\approx5\\text{ mm}$. So\n", "$$\\Omega_\\text{eff}(x,y)\\propto\\exp\\left(-2\\frac{x^2+y^2}{w_0^2}\\right)$$\n", "\n", "We will model the atoms as being spatially distributed in a Gaussian\n", "$$N(x,y)=\\frac{N_0}{\\sigma\\sqrt{2\\pi}}\\exp\\left(-\\frac{x^2+y^2}{2\\sigma^2}\\right)$$\n", "For now I will make a big oversimplification for getting an order of magnitude estimate of $\\sigma$ and assume that at the time of launch the atoms are all consolidated in a single point. After launch they spread out on average at the recoil velocity until the first Bragg pulse. So I will estimate $\\sigma$ as\n", "$$\\sigma=t_\\text{first bragg}v_\\text{r}=0.207\\text{ s}\\times3.5\\text{ mm/s}=0.0007245\\text{ m}$$\n", "Actually this seems a little small given that the MOT is probably around a mm in width. So lets be prepared to increase sigma if necessary. Lets compute the population in each output port as a function of effective Rabi frequency." ] }, { "cell_type": "markdown", "id": "5420cd31-5e60-4aae-b835-c1209c58c578", "metadata": {}, "source": [ "#### Aside: Investigating ratio of cloud to beam size\n", "\n", "I'm curious if the absolute cloud size and beam size matter, or only their ratio. Based on a quick calculation I think it must only be the ratio that matters:\n", "\n", "Let $\\vec{f}(\\Omega(\\vec{x}))$ be a vector whose elements describe the population in each $k$ state after a Bragg pulse with spatially dependent Rabi frequency $\\Omega(\\vec{x})$. Define $N(\\vec{x})$ as the number of atoms located at position $\\vec{x}$ of the cloud. So the average population $\\vec{f}_\\mathrm{avg}$ transfer is given by\n", "$$\\vec{f}_\\mathrm{avg}=\\int_{-\\infty}^\\infty\\vec{f}(\\Omega(\\vec{x}))N(\\vec{x})/\\int_{-\\infty}^\\infty N(\\vec{x})$$\n", "If $\\Omega(\\vec{x})\\propto\\exp\\left(-2\\frac{x^2+y^2}{\\sigma_b^2}\\right)$ and $N(\\vec{x})\\propto\\exp\\left(-\\frac{x^2+y^2}{2\\sigma_c^2}\\right)$ then we see by expanding $\\vec{f}$ that\n", "$$\\vec{f}(\\Omega(\\vec{x}))N(\\vec{x})=(\\dots)\\Omega(\\vec{x})^0N(\\vec{x})+(\\dots)\\Omega(\\vec{x})^1N(\\vec{x})+(\\dots)\\Omega(\\vec{x})^2N(\\vec{x})+\\cdots$$\n", "Each of the $\\Omega(\\vec{x})^nN(\\vec{x})$ terms can be expanded to\n", "$$\\Omega(\\vec{x})^nN(\\vec{x})\\propto\\exp\\left(-2n\\frac{x^2+y^2}{\\sigma_b^2}\\right)\\exp\\left(-\\frac{x^2+y^2}{2\\sigma_c^2}\\right)=\\exp\\left(\\left[x^2+y^2\\right]\\left[-2n\\frac{1}{\\sigma_b^2}-\\frac{1}{2\\sigma_c^2}\\right]\\right)$$\n", "If we define $x=\\tilde{x}\\sigma_b$ and $y=\\tilde{y}\\sigma_b$ then we find\n", "$$\\Omega(\\vec{x})^nN(\\vec{x})\\propto\\exp\\left(-\\left[\\tilde{x}^2+\\tilde{y}^2\\right]\\left[2n+\\frac{\\sigma_b^2}{2\\sigma_c^2}\\right]\\right)$$\n", "Which is only dependent on the ratio of the two widths." ] }, { "cell_type": "code", "execution_count": 1, "id": "689c485b-6f35-46cd-a256-951868d767bf", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 200/200 [00:06<00:00, 31.01it/s]\n" ] } ], "source": [ "from mwave.integrate import make_kvec, make_phi, propagate, omega_fnc_gaussian, phase_fnc_constant\n", "import numpy as np\n", "from scipy.interpolate import interp1d\n", "from matplotlib import pyplot as plt\n", "from tqdm import tqdm\n", "\n", "# Vectorized Gaussian-pulse propagate call (replaces the legacy gbragg helper)\n", "def vgbragg(kvec, omega, sigma, tfinal, delta, v_offset=0):\n", " out = np.full((len(omega), len(kvec)), np.nan, dtype=np.complex128)\n", " phi0 = make_phi(kvec, n0)\n", "\n", " for i in tqdm(range(len(omega))):\n", " result = propagate(\n", " kvec, phi0, tfinal, delta - 4*v_offset,\n", " omega_fnc_gaussian, np.array([omega[i], sigma, tfinal/2]),\n", " phase_fnc_constant, np.array([0.0]),\n", " )\n", " out[i,:] = result.phi_final\n", "\n", " return out\n", "\n", "# Set parameters\n", "n0, nf = 0, -1\n", "sigma = 40e-6*2066*2*np.pi\n", "tfinal = 10*sigma\n", "\n", "# Set range of omegas\n", "omegas = np.linspace(0,60,200)\n", "\n", "# Compute kvec and sbragg_orders\n", "kvec, n0_idx, nf_idx = make_kvec(n0,nf)\n", "orders = kvec/2\n", "\n", "# Call vgbragg over some intensity range, make interpolation function\n", "phi = vgbragg(kvec, omegas, sigma, tfinal, 4*(n0+nf))\n", "pfnc = interp1d(omegas, phi.T)" ] }, { "cell_type": "code", "execution_count": 2, "id": "aaecc629-accc-4d41-bdc9-bdb399c9678c", "metadata": { "tags": [] }, "outputs": [], "source": [ "sig = 0.7e-3\n", "w0 = 5e-3\n", "\n", "lim = 10*max(sig,w0)\n", "dx = min(sig,w0)/10\n", "x = np.arange(int(2*lim//dx))*dx - lim\n", "X, Y = np.meshgrid(x,x)\n", "\n", "I_grid = np.exp(-2*(X**2 + Y**2)/(w0**2))\n", "N_grid = np.exp(-(X**2 + Y**2)/(2*sig**2))/(2*np.pi*sig**2)\n", "\n", "def cpop(Omega0):\n", " phis = pfnc(I_grid*Omega0)\n", " pops = np.abs(phis)**2\n", " wpops = np.multiply(N_grid, pops)*dx*dx\n", " wpopssum = np.einsum('ijk->i', wpops)\n", " return wpopssum" ] }, { "cell_type": "code", "execution_count": 3, "id": "2d916815-8638-4a39-b20d-8763de742e50", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [00:32<00:00, 1.54it/s]\n" ] } ], "source": [ "omegas2 = np.linspace(0,40)\n", "\n", "pops = np.full((len(kvec), len(omegas2)), np.nan)\n", "for i in tqdm(range(len(omegas2))):\n", " pops[:,i] = cpop(omegas2[i])" ] }, { "cell_type": "code", "execution_count": 4, "id": "e19ac9d2-a487-4b84-a72e-14fffb08c22f", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "plt.figure(figsize=(8.5, 4))\n", "plt.plot(omegas2, pops.T)\n", "plt.legend([\"n=%i\" % bo for bo in orders])\n", "plt.xlabel(\"Bragg amplitude [arb.]\")\n", "plt.ylabel(\"Population\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "84410d90-e8a7-4a08-8b73-c188edc4814e", "metadata": {}, "source": [ "## Comparison of model to dataset" ] }, { "cell_type": "markdown", "id": "fa26b5ce-3721-4c2c-a610-aa95305ea852", "metadata": {}, "source": [ "Now we are ready to compare our model to the actual dataset. First lets load in the dataset." ] }, { "cell_type": "code", "execution_count": 1, "id": "b4f75c41-182a-409a-8d78-8e7a45232182", "metadata": {}, "outputs": [], "source": [ "from mwave.integrate import propagate, make_kvec, make_phi, phase_fnc_constant\n", "import numpy as np\n", "import h5py\n", "from scipy.interpolate import interp1d\n", "from matplotlib import pyplot as plt\n", "from tqdm import tqdm\n", "from numba import jit\n", "\n", "with h5py.File('single_bragg_dataset.h5') as f:\n", " bragg_amplitudes = np.array(f['bragg_detuning_dataset/bragg_amplitudes'][()])\n", " bragg_offsets_kHz = np.array(f['bragg_detuning_dataset/bragg_offsets_kHz'][()])\n", " bragg_orders = np.array(f['bragg_detuning_dataset/bragg_orders'][()])\n", " bragg_widths_us = np.array(f['bragg_detuning_dataset/bragg_widths_us'][()])\n", " fit_traces = np.array(f['bragg_detuning_dataset/fit_traces'][()])\n", " bragg_pops = np.array(f['bragg_detuning_dataset/pops'][()])\n", " raw_traces = np.array(f['bragg_detuning_dataset/raw_traces'][()])\n", " t = np.array(f['bragg_detuning_dataset/t'][()])" ] }, { "cell_type": "markdown", "id": "7ed23180-e349-4a91-8603-ec6775f1c52c", "metadata": {}, "source": [ "Lets express all relevant experimental parameters in natural units." ] }, { "cell_type": "code", "execution_count": 2, "id": "128bd72c-198f-4ae2-9133-849794643512", "metadata": {}, "outputs": [], "source": [ "bragg_amplitudes_natural = (bragg_amplitudes + 3)/27\n", "bragg_offsets_natural = 4+2*(32 - bragg_offsets_kHz)*1000/2066.4724020963313\n", "bragg_sigmas_natural = bragg_widths_us/1e6*2066*2*np.pi" ] }, { "cell_type": "markdown", "id": "b7c366f2-d652-4a5f-a640-eb0470313ad0", "metadata": {}, "source": [ "We must incorporate a pedistal into our model. Lets do this." ] }, { "cell_type": "code", "execution_count": 3, "id": "d264ee2a-1959-4b8d-9c78-717c80e23816", "metadata": {}, "outputs": [], "source": [ "# Choose sigma and offset\n", "offset_idx = 22\n", "sigma_idx = 0\n", "\n", "# Define sim parameters\n", "sigma = bragg_sigmas_natural[sigma_idx]\n", "pedistal = 0.59\n", "n0 = 0\n", "nmax = -7\n", "\n", "# Compute parameters\n", "t0 = 2.59621\n", "tfinal = t0+1.94716\n", "\n", "# Define the kvec array\n", "kvec, n0_idx, nf_idx = make_kvec(n0, nmax)\n", "\n", "# Define a constant pulse profile\n", "@jit(nopython=True)\n", "def omega_fnc(t, args):\n", " omega, sigma, t0, pedistal = args\n", " return omega*np.exp(-np.square(t-t0)/(2*(sigma**2))) + pedistal\n", "\n", "def calc(delta, omega):\n", " # Define the initial state\n", " phi0 = make_phi(kvec, n0)\n", " \n", " # Integrate the pulse\n", " result = propagate(kvec, phi0, tfinal, delta, omega_fnc, np.array([omega, sigma, t0, pedistal]), phase_fnc_constant, np.array([0.0]), atol=1e-4, rtol=1e-4)\n", "\n", " return result.phi_final" ] }, { "cell_type": "markdown", "id": "a7bc4f76-e4eb-42eb-8df9-5fb90d59e0d9", "metadata": {}, "source": [ "It speeds things up to interpolate! Lets do this:" ] }, { "cell_type": "code", "execution_count": 4, "id": "855901cb-9268-4098-8cbd-abbf819a6eb6", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 300/300 [00:02<00:00, 106.39it/s]\n" ] } ], "source": [ "# Define a grid\n", "xgrid = np.linspace(0,62,300)\n", "delta = -4\n", "\n", "ygrid = np.full((len(xgrid), len(kvec)), np.nan, dtype=np.complex128)\n", "for i in tqdm(range(len(xgrid))):\n", " ygrid[i,:] = calc(delta, xgrid[i])" ] }, { "cell_type": "markdown", "id": "3f17a9e7-3c75-4304-a6cf-f307d7b540b9", "metadata": {}, "source": [ "In the future this spline interpolator could be used to create a denser set of points that can be linearly interpolated between. This will create a large speed up.\n", "\n", "For now lets just do linear interpolation on a 1D cut of our converged grid." ] }, { "cell_type": "code", "execution_count": 5, "id": "058f7c8f-790d-4b68-be0e-83c1bd84b61c", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [00:09<00:00, 5.06it/s]\n" ] } ], "source": [ "from scipy.interpolate import interp1d\n", "\n", "# Make interpolator\n", "iifnc = interp1d(xgrid, np.abs(ygrid.T)**2)\n", "\n", "# Set cloud parameters\n", "sig = 1.0e-3\n", "w0 = 5e-3\n", "\n", "# Compute cloud/beam grids\n", "lim = 10*max(sig,w0)\n", "dx = min(sig,w0)/10\n", "x = np.arange(int(2*lim//dx))*dx - lim\n", "X, Y = np.meshgrid(x,x)\n", "\n", "I_grid = np.exp(-2*(X**2 + Y**2)/(w0**2))\n", "N_grid = np.exp(-(X**2 + Y**2)/(2*sig**2))/(2*np.pi*sig**2)\n", "\n", "# Define function to create population weighted sum of population after pulse\n", "def cpop(Omega0):\n", " pops = iifnc(I_grid*Omega0)\n", " wpops = np.multiply(N_grid, pops)*dx*dx\n", " wpopssum = np.einsum('ijk->i', wpops)\n", " return wpopssum\n", "\n", "# Compute\n", "pops = np.full((len(kvec), len(bragg_amplitudes_natural)), np.nan)\n", "for i in tqdm(range(len(bragg_amplitudes_natural))):\n", " pops[:,i] = cpop(bragg_amplitudes_natural[i])" ] }, { "cell_type": "code", "execution_count": 6, "id": "41036017-2ecd-4d7d-8d84-4f5582f69124", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "istart = np.argmin(np.abs(kvec - np.min(bragg_orders*2)))\n", "iend = np.argmin(np.abs(kvec - np.max(bragg_orders*2)))\n", "\n", "plt.figure(figsize=(10,6))\n", "ls = plt.plot(bragg_amplitudes_natural, bragg_pops[:, 22, sigma_idx, :], 'x')\n", "ls2 = plt.plot(bragg_amplitudes_natural, pops.T[:,istart:iend+1])\n", "\n", "for i in range(len(ls)):\n", " ls2[i].set_color(ls[i].get_color())\n", "\n", "plt.xlim([0,40])\n", "\n", "plt.legend([\"n=%i\" % bo for bo in bragg_orders])\n", "plt.xlabel(\"Bragg amplitude [arb.]\")\n", "plt.ylabel(\"Population\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }