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@brandondube
Created August 4, 2019 04:47
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mtf-50-vs-mtf-20
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MTF-50 vs MTF-20\n",
"\n",
"In this example, we will use prysm to visually investigate the relevance of MTF-50 and MTF-20 for quantifying \"sharpness.\" We begin by, as usual, performing a bunch of imports:"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n"
]
}
],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"import numpy as np\n",
"\n",
"from astropy import units as u\n",
"\n",
"from prysm import Detector, PixelAperture, MTF, Chirp, AiryDisk\n",
"from prysm.otf import diffraction_limited_mtf\n",
"from prysm.detector import pixelaperture_analytic_otf\n",
"\n",
"from IPython.display import Image, display\n",
"\n",
"from matplotlib import pyplot as plt\n",
"plt.style.use('bmh')\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we define some parameters of a camera model, and what it would be if a design parameter were changed. We also model a frequency chirped bar target to simulate images of:"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"G50s = {\n",
" 'name': 'GFX-G50s',\n",
" 'pixel pitch': 5.3,\n",
" 'pixel': PixelAperture(4.63),\n",
"}\n",
"\n",
"one_hundred_pct_fill_factor = {\n",
" 'name': '100pct-fill-factor',\n",
" 'pixel pitch': 5.3,\n",
" 'pixel': PixelAperture(5.3)\n",
"}\n",
"\n",
"fig, ax = plt.subplots(figsize=(15, 4))\n",
"scene = Chirp(500, 1 * 5.3, method='logarithmic', samples=1024, sample_spacing=5.3, binary=False)\n",
"scene.plot2d(fig=fig, ax=ax)\n",
"ax.set_aspect(8/15)\n",
"plt.grid(False)\n",
"# diff_limited_f4 = AiryDisk(4, .6328)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we'll model two cases - one diffraction limited at F/4, and the other F/12. These lead to system MTF-50s of about 50% and 20%, respectively.\n",
"\n",
"We also plot the MTF of each lens."
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 1 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x1c2f1aba90>)"
]
},
"execution_count": 146,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3hwB48MEHGTlyJPfcc09Q148UWscqrAO42azNJgqBkn76SaT+8DZbn32TrTPeIv/d/1A0fzF9HpxMh0vPDehhX2ZmZgh6GjpihKBTu3g6tYvnzBxfOmNdgySvzNPixSPfvqR5e6vJ21vNN7m+fUljYwRdU+Jb5Khb6ZpijZpCXtEWK3/Ro1ewA3iTU1VVFcuXL29+cLlixQqqqqoO11TXaB0r3dUDDxfu3O2smzqd0h9XAZAy5Fj6PzGFxF5d23QdFWsxA2zeup3axPR9G2MU+9IZD9qX1CTokeabpTdlv3RM1i6dUUtUjZWKXk1Oa9as4dZbb6WiogIhBElJSTz33HNRu6Wa1vXAwzoDN5ki/4p4E4k5XTlhznMUzP2KDQ8+S9my1fx4xlV0u+Vyetx+NaaEeL+uo7e1R61ol5SIw2Gjb/t9flXeejaXVO23/FLg8rJuTyXr9uzbl9RmMZHjsO7bxs5ho31i6PYl9RdVY6VHr4KCAiDwdMImp6OPPprFixdTUeErP6G3qottRetY6bOSUpgQQtDhkpE4zjiZTY+/QP5bn7L1mTcp+Phb+k27m/QRR8431dMPJS1pzSvBYuKYLDvHZO0r0l9RXddcmbFpUC+pqmXNbjdrdu9LZ0yOj933Jmnjw9IUP9IZteSPFKtIM3v2bCDweuBNToMGDWLUqFFcccUV9O7dW7P+RQqtY6V0Foq/WFKSOOqp/6Pjpeex9p4nca/fws+X30nmhSPo8+jtxGemH7JtRUVF1BaXPxz+eiXFx3J8dhLHZ++bGZVU1rLRWdmcp76x2JfOuDK/gpX5+wp5OWzm/crt5jgSsMeF7p/kHz1W4STYtd4mp8WLFzNv3jxuu+02GhoauOKKKxg7dmzUzsS1jlVUF7MKBQ21deS98iGbn3qVek81psQEek29ic7XjEW08tOzqqqKhISECPQ0tGjpJaWk0OXdN1MvriK3pApP7cHVKTskxTVnvfRO9xXyspq1mbUYsYoeWnNaunQpN9xwA+Xl5YwaNYq7776b7t27R6iHgRFIrHSzBt7WHXkiQYw5lm63XE7mqBGs/+vT7Jm/mPV/fbq5QFbywL77nV9aWqrcNw9o6yWEICspjqykOE7t7pt91DdI8sur98tR31LqYXdFDbsravhhi6+QV4yAzu3imwf1XukJdEu1YjG1PZ3RiFX00ORUX1/P119/zbvvvsuOHTu45ZZbGDduHMuWLWP8+PGsXLky0l1tE1rH6g+9Bn44rNmZHDfrCYrmL2L9/U9T8esGlp17PZ2vuZicqTdiTvK91h6p3PZQE2ovU4ygS4qVLilWzsrxFfKqrW8gr6y6OZVxY3EV28s8bC+rZntZNV9t8qUzmhuLgPVqMVPv3C7+iOmMRqyihyan448/nmHDhjF58mROPPHE5uOjR49m2bJlkepewGgdK2MJxQ/qKqvYPP118l7+AFlfT1yGgz6P3E7mqBHU1NQQH+9fxko0UV1drQuvmroGtpR42Fhc2Txb31lec9B5cbEx5KTtP6h3SIrbL/NFL05ao0evGTNmADB58uSA2jc5qba1WiCx0s0Sih7fGPOHWFsCfR6cTMdxI1l7z5Ps/el3frnpb+x6/3OSJ19GztDBke6i5hQVFekitzguNoZ+GTb6ZexLv6r01pPboojXpuIqitxefi+q5PeifemMiRbfvqRNWS82bykDe3WLeDqj1uglVi1xu91HPukwPPLII4cs+iSEYMqUKUFdP1JoHauwzsAXL14so7mWL/g2V85/5zM2PvYCdeUuRJyFnndMpNstVxATp7+ynoFSUlJCWlp4t6cLhr2e2uYZetP/Sz0HP3NJscY2r6X3cvj+C3c6o9boMVYul28vWLvdfoQzW+fJJ588aK3Y4/Hw1ltvUVZWxs6dO4PuYyQIJFaHm4EbA3iA1BSXsvHhGeye46vTYMvpQr9pU0gbelyEe6YNehwU2oKUEmdTdcbGmfrGPZVUtpL5km4zNw/qOY7WqzPqmWiPVWu0dHK5XLz00ku8/fbbjBkzhkmTJpGefujUXj2j9QBu5IEHSFx6KsfMeIDY04+n5Ok3qczNY+XFk+kw7lx6PzCJuPTUSHcxKNxud1QPCkII0m0W0m0WhnX1/Sq+fft2zClZbHJWkuv0NKczFlfWUlxZzo8tqjNm2i37zdRzdLLZdGtEe6xaw+12ExMTw/PPP89HH33EhAkTWLBgQdTXPdc6VsZDzCCprq7GImLYOvMdtj4zm4YaL7HJdt/myn8a1WrueDSgxwdjwdKaU4OU5O+t8S27NC69bCk5eLNp8G023TRD75WeQE8Nc9SDQY+xaqogOHLkyIDa33fffcyfP5+JEydy3XXXKfMgU+uHmH4N4EKIkcAzgAl4VUo57YDjnYHZQLvGc6ZKKb848DoLFy6UxxxzTJs6r3d27txJp06dAKjcls/6+/6J84cVACQP7Eu/J6aQPKBPJLsYEC29VMFfp/02m3b6aqhvLfFQ27D/90qMgE7t4pvX0nul+0ruxoW55K4eYzVtmm+ICPRV+rS0NOLi4oiNbX2RYMeOHQH3LZIEEqugllCEECZgJnAWkA+sFEJ8JqVc1+K0vwIfSilfEEL0A74Aurapl1FKy4wGW7dsBr37L4r+u8C3ufKa9SwbeR2drx7ryx1PDuyBTiRQLVMD/HdqbbPp2voGtpfte/Eo19lYcresmryyfSV3TQK6plqbl116pSfQLSUecwAvHmntFU4CnXk38csvv5Cdna1Rb/SD1rHyZw18MLBZSrm1sQPvA6OBlgO4BJqKEyQDu1u92SF+mkYzqan7r3ULIci84HQcpw1m8z/fIO/lD9jxxlwK//M9fR66layLz9HlN9yBHOilAsE4mU37Now+v/EXqpq6BraWeppTGjc5fSV3t5R42FLi4cuNJb62TS8eORKat7LrknLkF4/8RY+xarkZcSDo0UkLtPY64hKKEOISYKSU8vrGz1cCJ0opJ7c4Jwv4GkgBbMCZUsqfD7zWxx9/LO+//35iY2Opr69n7NixTJo0icLCQmw2GyaTiYqKCtLT0yktLUVKSXp6OkVFRc1rYG63m4yMDIqLixFCkJqaSnFxMUlJSdTX11NZWUlmZiaFhYWYzWaSk5NxOp0kJyfj9XrxeDzNxy0WC3a7nZKSElJSUvB4PFRXVzcfj4+Px2q1UlZWRlpaGi6XC6/X23y86Vh8fDwOh4Py8nJqa2ubj9tsNmq27GTzA8/i+WUjAAnH9aP/E3fjTrLq1slisbBjxw569OjRqlM0xilcTu3S2vPTll3scEt2VQk2FVdSWHVw5os5BrqnxNMxQdIvK5nsBElKbB0dsrLa5FReXo7X68VmsykTJ1WdHA4H27Ztw263t8kpLy8v8DVwIcQ44JwDBvDBUspbW5xzZ+O1/imEGAK8BhwlpdzvX65KaYRNlJWVHbG6mGxoYNeHX7LxkZnUlu5FxJroevPl9LjjamJt1jD1tG344xVtRMqp0lvP5qaHpC3qqB+I1RxDz7QEejn2vVGalXTkzTH0GKvc3FwAcnJyAmqvRyctCMQr2DTCfKDlqns2By+RXAeMBJBSLhNCxAMOYE+behqF+JMaKWJiyJ5wPu3PGU7uP15k51ufsu25tyiY9zV9//4X2p8zXHfLKiqlfDYRKSebxcSADnYGdNi/jnquc99D0k3OKva4a/mt0M1vhe792uY4rPRuXH7p5UggI9Gy378XPcZq7ty5QOAPMfXopAVae/kzgK8EcoQQ3YBdwATg8gPO2QGcAcwSQvQF4oHiAy+kYlAqKytxOBx+nWtJSaL/k/fQccL5rPu/p6j4bROrr55K+llD6fvYX0jo0iHEvfWftnhFC3pySoqPZVB2EoNa1FEvq6olt+Tgt0kP3BwjKc6030tHthoXaWlpupoE9OzZM6j2eoqVlmjt5W8a4XnAv/GlCL4upfy7EOIR4Ccp5WeNmSevAIn4HmjeI6X8+sDrqJgHXlNTQ1xcXJvbyfp6dsz6mNxpL1HnqiQm3kKPO66m282X6+KV/EC99Ew0OpVU1jbWUa9snK17KK8+uERAqjW2OetFhRIB0RgrfwjESzev0utpU2OtCHZD2Zo9JWx46DkK5vl+3iX06Ez/aXeTNrzVeIUNlTfKjWaklOxx1+63nr5xj5uquoO/j6O5RIAKsWqNqN7UWE+/4mmF2RzcLCeufRoDnn+I7MsvYN3U6VRu3sHKcbeRddFZ9H7oVuIzIvNrZLBeekQFJyEEGXYLGXYLw7v5XivftWsXJDr2racrUCJAhVi1htZeYZ2BL1myRPbv3z9s9wsHlZWVmu003eCtZduL77Hl6Tdo8NRgSkwgZ+qNdL56LDFhzqHX0ksvqOgErXs1SEl+ec1+6+nhLBEQ7JuYf6RYHQndzMCjYUu1tuJ0OjX7hxZjMdPjtqvIGnMWG/72NHu+WsKGv/6bXe//l/5PTKHdoPClYGrppRdUdILWvWKEoHO7eDq3i+fMHN/LI00lAlqW3d1a4iG/vIb88v23sYt0iYA/UqyCwSgnGyR79+4NWYW0PV8tZt39T1OdXwhA9p9G0eu+m7GkJofkfi0JpVekUNEJgvM6VImAAyfq4S4RYMRqH7qZgau4d5/Xe/ALGVrR/pzhpA47nq3PzGbbC++S//ZnFH2xkN5/nUTHCechYkI3IwqlV6RQ0QmC82qtRIC3roEtES4RYMTKP8I6gDc0HPxKcbTj8XhCev1Ym5Ve9/2ZDpeMZN290yn9cRW/3/k4+e9/Tv9pd2PvF1y+7aEItVckUNEJtPeyxMbQt72Nvu33/arvqa1na4mnMaXRN6jnl+8rw8uGxrYmQY80a/MPhV4O/zacPhAjVv5h1AMPknDmq0opKfj4GzY8+Cze4lKEyUSX68fRc8p1xCZqu16oYh6uik4QOa/DlQgoWf0dAGnHnkGcSdAjLYEcx76B/UiDuhGrfehmCSVaNzU+HIWFhWHLVxVC0GHs2aSfeTK5T7zMjjfmsf2l9yn49Fv6PnIHGReerlmqZji9woWKThA5r9ZKBLhq6tjs9PCvtfMoqarFYbdQ6PKybk8l6/bs23B636CeQK9038DeKXnfoG7Eyj/COoDHhHDNNlJYLOF/a9KclEi/v99Jx/G+V/LLV69jzY1/Je20wfR7/C5s3YMv7h8Jr1CjohPoy8seF8uxHe08cMtVgK+YVVPdl9ySquat7IrcrQzqsTH0bFx+aR9bD0kespO1K7urB7SOlZEHHiRutzui2z3JhgZ2vv0ZuY+/QO1eF8JipvukK+h+61WYEgLfZivSXqFARSeITq+K6rrmF49ynb4HpkXugx/wxbcY1JvW1Dsmx0XtoB5IrHSzhKJiHnhJSUlEv3lETAydrxpD5nmnsvHRmez64Au2PD2LXR/Np++jt9N+5CkBLatE2isUqOgE0emVFB/L8dlJHN+imFd500zdWcUvO5zkV8Eedy2/F1Xye9G+mbrVHNP8oLQprTE7+chld/WA1rEyZuBBUlFRQVJS0pFPDBNlK39j3b3Tcf3uq8fsGDGEvn//C7ZubdueSm9eWqCiE+jTa82aNUDgO/M0Oe311DbP0Jtm7MWVBz9LSzDH0KOxlnrTbL2jDgf1QGKlmxm4qmmEevrmSTnhaIbMf42dsz8h94mXcX6/jCWn/tTmZRW9eWmBik6gT6+mXekDHcCbnNpZzZzQycwJnVqU3fXUNi+9NA3qzsqDa6knNG2Qkb4vA6aDHxtkhBKtY2UM4EFSXV0d6S4cRExsLF2uu4TMUSPY9NjzAS2r6NErWFR0An16Bbsn5uGcUqxmBndKZnCnfW8kN9dSd3rIbXyj1FlVy6+Fbn49YFBvmqH7lmCsfu16pBVax8rIAw+SaMhXDWRZJRq82oqKTqCmlxZOpVW1zWvqTbXUS6oOXn6xWUz0TNu/TECW3RKS6qlGPXCdES11ixvq6pqXVeoq3EfMVokWr7agohOo6RUqp5KWg3rjTL3Uc3ByRaLFRE9Hi0HdkUCmBoN6VNcDVzEPPD4+8FS9cNLWZZVo8WoLKjqBPr1cLhcAdrv9CGe2Tqic0hLMpHVO5qTO+5ZfmnY9ajlbL2tlKzt7nKl5096a0HEAACAASURBVOmcxvovmYltG9S19jIG8CCxWvW5q/yhiEtP5ehn/kr2n0Y3L6usvubeg5ZVos3LH1R0An16zZw5Ewi8Hng4ndJsZobYkhnSxTeoSykbZ+qe/TbJ2Ftdx+rdLlbvdjW3tceZWqypW1vddLolWnsZeeBBUlZWprsMAH84UrZKtHodDhWdQJ9eweY6R9JJCIHDZsFhs+w3qDsbl198Sy++wb28uo5Vu1ys2rVvUE/ab1D3Lb+0TzQjhNDcy8gDD5JofAvuQGqKS5uXVQDiszPpdv9NdB5ztlLb4KkQq9ZQ0SsanKSUFFfW7pejfqhNp5PiTPRKT6BLUiz9O7SjlyOBdJvZr+8v3TzEXLRokTz66KPDdr9wUFBQQFZWVqS7oQlavQSkV1SKVUtU9IpWp6ZBfZOzypfOWOKbsVfU1B90bnJ87H4VGnPS9s3UW6Kbh5gq5oGrVHi+5bLKxn+8GPBLQHpFpVi1REWvaHUSQtA+0UL7RAvDuvp23pFSssftG9R/2lLAnlpz8/LLT/kufsrft/ySHB+7X+2XHMfh18yNPPAgUTEHF8CVX8D2p17bb1klmNoqekDVWOnRa9asWQBcffXVAbXXo5MWNHlJKSlye9nkrGJzY6mAXGfrM/Vpx0l9zMCNeuDRQ2m9169slWhC1Vjp0auwsDDo9npz0oImLyEEmfY4Mu1xnNItBdg3U28azJvK78Khx00jjTBI9JjCpQVNXofKVul282V0v20isbbo8Vc9Vnpi4sSJQbXXo5MWHM5LCEGG3UKG3cKwbvuWX1avXn3INmEdUaP1V+/Doadi+lrS0qvpJaDhP75Px/HnIb21bH3mTZYMv4yCT76Nms2q/wix0gtZWVlBPYTUo5MWtNXrSGNmWAfw+vqD13einfLy8kh3ISS05tX0EtCJ/3mJpGN6U717D7/8+QFWXnwrrvVbItDLtvFHilW0o6ITaO8V1gE8NjasKzZhweFwRLoLIeFwXiknHM2QL1+l/1P3YE5NpnTpKpaeeTXr7v8XtXsrwtjLtvFHjFWkWLJkCUuWLAm4vR6dtEBrL2MGHiR/1JmCMJnodOUYTln6AZ2vvQQpJTtem8Oikyew8+1PkTqM9R81VpEg2AFcj05aENUz8GhZK20LKmbWgP9e5nZJ9Hv8ToZ+O4uUkwZSW7qXtXc/wbJzb2Dvz7+HuJdt448eq3AybNgwhg0bFnB7PTppgdZefg3gQoiRQoiNQojNQohWq9MIIS4VQqwTQqwVQrzb2jlmszmYvuqSzMzMSHchJLTVy96vJ4M/nsmAFx8mLiudil83sPz8G/n1tseo2VMSol62DSNW4SPYAVyPTlqgtdcRB3AhhAmYCZwL9AMuE0L0O+CcHOBeYKiUsj9wR2vXUvGnarD5rnolEC8hBFljzmL4kvfofttVCIuZ3R9+waKTx7PtxfdoqI1sMTMjVtGDik6gvZc/M/DBwGYp5VYppRd4Hxh9wDk3ADOllGUAUso9rV3IZDIF01ddYrPZIt2FkBCMV6wtgV73/ZlhC98h/cyTqXdXsfGh5/hxxFU4F/5Pw162DSNW4aOgoICCgoKA2+vRSQu09vJnAO8I7GzxOb/xay3pBfQSQvwohFguhBipVQf1joo/lEAbL1u3bAa9PZ3j3nqKhG7ZVOZu56fxd7D62nup2hH4N3egGLEKH7Nnz2b27NkBt9ejkxZo7eVPXl9rmeQHPo2MBXKA04BsYLEQ4igp5d6WJzmdToYOHUpsbCz19fWMHTuWSZMmUVhYiM1mw2QyUVFRQXp6OqWlpUgpSU9Pp6ioqLm0pNvtJiMjg+LiYoQQpKamUlxcTFJSEvX19VRWVpKZmUlhYSFms5nk5GScTifJycl4vV48Hk/zcYvFgt1up6SkhJSUFDweD9XV1c3H4+PjsVqtlJWVkZaWhsvlwuv1Nh9vOlZRUYHD4aC8vJza2trm49HqZLFY2LlzJxaLRRunvl047ouX2fjcm5TM+oSiLxay57uldLn5cuIuGkGc3RZ9TjqJU3l5efO19eSUnJxMbW0teXl5yjgFGyeHw8GuXbuoqKhos9MhB+cjZYYIIYYAD0kpz2n8fC+AlPIfLc55EVgupZzV+Pk7YKqUcmXLa6lYzKqqqoqEhIRId0NzQuVVvXsPGx+dScHH3wC+Ill9Hr6NjPNODfmbukasogcVnSAwr8OVk/VnCWUlkCOE6CaEsAATgM8OOOcT4HQAIYQD35LK1gMvpOKOPKWlpZHuQkgIlVd8h/YMeOFhBn88E3u/nlTnF7Lmuvv4afwduDdtD8k9mzBiFT2o6ATaex1xAJdS1gGTga+A9cCHUsq1QohHhBCjGk/7CigRQqwDfgCmSCn1kTsWYlTMbYfQe6UOOZYhX79O38fvwtzOTsmilfw44krWP/gMteWuI18gAIxYRQ8qOoH2XkY98CCprq7W5a7gwRJOL2/JXnKfeJmdb30KUmJObUeve28k+/ILERo+9DFiFT5mzJgBwOTJkwNqr0cnLQjEK9glFM1QMQ+8qKgo0l0ICeH0sqS1o/+T9zDkq9dJOWmA723OKU+y9OxrKV166FKabcWIVfhwu9243e6A2+vRSQu09gprdSkVU4P0vvFqoETCK/mY3gz++HkKP/uejY/MwLU2l/+NnUTGBafT+4HJJHQObo9EI1bhY9KkSUG116OTFmjtpd4OCwZRjRCCrNFnMHzxe/Sccj0x1jiKPv+BJcMvY9O0l6irrIp0Fw38wG63Y7fbI90N5TGqEQZJML8m6plIe5kS4ul517UMX/I+WWPPpqHGy9Z/z2bx0AnsnjMfGcAG2ZF2ChUqeqnoBNp7hXUAV7GYVUZGRqS7EBL04mXtmMGA5x/ybSIxoA81hU5+nfwIyy+8ib2r1rXpWnpx0ho9es2fP5/58+cH3F6PTlqgtVdYB3AV88CLi4sj3YWQoDevpk0kjvr3/cS1T6P857UsP+96fr31UaoL/eur3py0Qo9ea9asYc2aNQG316OTFmjtZayBB4mK+3yCPr1ETAzZE85n+NL36Xbrlb5qhx99yeKTJ7Dl2Tepr645fHsdOmmBHr1GjhzJyJGBl0TSo5MWaO1lbKkWJKmpqZHuQkjQs1dsoo3e99/M8EXv0P7cU6iv8pD7+IssOeUKCv+74JAvS+jZKRj06DVw4EAGDhwYcHs9OmmB1l5GHniQGL/qRY6Ertkc98Y0TvjoWRL7dMezYzdrrruPlZfcimvd5oPOjwanQFDRS0UniPIlFBXzwJOSkiLdhZAQTV5pw4/n5G9n0e8fd2FOSaL0x1X8eObVrL3nKbwl+wpiRpNTW9CjV25uLrm5uQG316OTFmjtZayBB4mKqZEQfV4xsbF0vuZihi/9kC7Xj0MIwc43P2bRyePZ/soHNNTWRZ2Tv+jRa+7cucydOzfg9np00gKtvYw88CCprKyMdBdCQrR6WVKS6PvYXxj6/ZuknTaYunIXG/72DD+OuJKir5coWSRJj7Hq2bMnPXv2DLi9Hp20QGsvo5hVkNTU1BAXFxfpbmiOCl5SSoq/WcqGB5+hals+AGmnnkCfh27D3rdHhHunHSrE6kBUdILAvIxiViHE2HxVvwghaH/2UIYtfIc+D99GjN1GycKV/HjGRH6f8gQ1xWrUnFYhVgeiohNEZlNjzVAxt1PFt0tBLa8Yi5muN02gzyfP0fm6SxBCkP/Wpyw66VK/8sf1jkqxakJFJ9Dey8hCCZLk5ORIdyEkqOiV1rUT/f5+J0MXvEX62cOor6wi9/EXWTzsMgo++SZq18f1GKtp06Yxbdq0gNvr0UkLtPYyXqUPEqfTGekuhAQVvZqcEnO6MujNJzn+w2eat3X75c8PsvyCG9n78+8R7mXbUTlWqqG1l1EPPEiMmUL0cKCT45QTSPvmDXZ98AWb/vGSr77K+TeSOeZMet13c9D1x8OFHmM1derUoNrr0UkLonoGHq2/oh4Or9cb6S6EBBW9WnMSJhPZl1/IKcs+oPsdE4mJt1D4ybcsGX4ZG//+AnUu/aez/VFipQJae4V1AG8IoIaz3vF4PJHuQkhQ0etwTrGJNnpNvclXf/xiX/3xbc+9xaIhl7LzrU9o0PHy3x8tVtGM1l5GPfAgyczMjHQXQoKKXv44WbMzGTDzIU764hXanXA0XmeZb3/OM6/GufB/Yehl29FjrObMmcOcOXMCbq9HJy3Q2svIAw8SI181emiLU7vj+nPiZy8y8OXHsHbKwr1hKz+Nv4Ofr7gL98ZtIexl29FjrDZv3szmzQcXFPMXPTppgdZeYX2IGROjXukVi8US6S6EBBW92uokhCBz1AjSzx5K3qsfsfWZ2RR/twzngv+RfcUoek65jrj0yJc91WOsLr744qDa69FJC7T2CuuIquIArurGrSp6Bepkio+j++Q/MXzpB3SaeBFSSl+hrJMuZfM/X6euMrLrtXqMVU5ODjk5OQG316OTFmjtZeSBB0lJSUmkuxASVPQK1ikuPZX+T0xh2IK3m18E2vzUqyw+eTw73/ksYg86jVhFD1p7GTvyBElKSkqkuxASVPTSyimxl+9FoMHzZpI8sC81RU7W3jWNpSMmsufrH8OeLqvHWAW7J6YenbRAay8jjTBIjHSn6EFrp9STj+WkL15hwIuPYO3cAfembay6agorL76V8jXrNb3X4dBjrILdlV6PTloQ1WmEKg7g1dXVke5CSFDRKxROIiaGrDFnMnzxu/R55HbfjkBLV7Fs5HX8cvODVO0o0PyeB6LHWAW7J6YenbRAay+jHniQGHWLo4dwONXurWDrs2+R99pHNNR4ERYzXa69hO63T8SSEpptwoxYRQ9GPXCdYeSrRg/hcDK3S6L3A5MYvuQ9OlxyDtJby/YX32PxkHFse+HdkJSuNWIVPUR1PXAV0wjj4+Mj3YWQoKJXOJ2snbI4ZsaDDPn6DVKHDaJ2r4uND89g8bDL2D3va6SGy4l6jJXL5cLlcgXcXo9OWqC1l18jqhBipBBioxBisxDikGXGhBCXCCGkEKL16b6CA7jVao10F0KCil6RcEo+pjcnfPQsg975J4l9ulOdX8ivtzzEspHXU7LkZ03uocdYzZw5k5kzZwbcXo9OWqC11xFHVCGECZgJnAv0Ay4TQhy0kC2EsAO3ASsOdS0V88DLysoi3YWQoKJXpJyEEKSfMYSh383mqH/dR1ymg4pfN7Dyklv5+U9341q/Jajr6zFWiYmJJCYmBtxej05aoLWXP1PiwcBmKeVWKaUXeB8Y3cp5jwJPAod8zKpiHnhaWlqkuxASVPSKtJOvdO0FnLL0Q3Km3ogpMYHib5fy44ir+PXWR/HsDCxjJdJerTF58mQmT54ccHs9OmmB1l7+jKgdgZ0tPucDJ7Y8QQhxLNBJSvm5EOLuQ12ouLiYoUOHEhsbS319PWPHjmXSpEkUFhZis9kwmUxUVFSQnp5OaWkpUkrS09MpKipq/mnudrvJyMiguLgYIQSpqakUFxeTlJREfX09lZWVZGZmUlhYiNlsJjk5GafTSXJyMl6vF4/H03zcYrFgt9spKSkhJSUFj8dDdXV18/H4+HisVitlZWWkpaXhcrnwer3Nx61WK263m5KSEhwOB+Xl5dTW1jYfj1Yni8XCrl276Nq1q+EUCqfiIhLGn8Ogi84gd/pr7P3ke3Z/9CUFn3xDx6vGYL30LBIz2/vlVF5ejpSSiooKZeKkqpPD4SA/Px+r1dpmp0NxxDRCIcQ44Bwp5fWNn68EBkspb238HAN8D1wtpdwuhFgA3C2l/OnAay1YsEAOGDDgsPeLNvLy8ujSpUuku6E5Knrp1akqbxe5T7xCwbyvATAlJtDtlivoetN4Ym0JR2yvV69gUNEJAvMKNo0wH+jU4nM2sLvFZztwFLBACLEdOAn4rLUHmUY98OhBRS+9OiV06ciA5x/i5G9n4RgxhHp3FZuffIVFJ44j77U5NHgPn36rR69Zs2Yxa9asgNvr0UkLIlEPfCWQI4ToJoSwABOAz5oOSinLpZQOKWVXKWVXYDkwqrUZuJEHHj2o6KV3p6SjenH8u//01VgZ1B+vs4z19//Ll3o496tDph7q0auwsDCofunRSQvCngcupawDJgNfAeuBD6WUa4UQjwghRrXpZkYaYdSgole0OKWefCwnff4yx77xD2w5XfHs2M2vkx5m6VnXUPzdsoOKZenRa+LEiUycODHg9np00gKtvfxKC5FSfgF8ccDXHjjEuacd6jpCiLb0LSowCs9HD9HkJIQg49xTST9rKLs/nM/m6a/iWpvLz1fcRcqQY+n915tpN+goQJ9eWVlZQbXXo5MWRPWGDvX19eG8XVgoLy+PdBdCgope0egUExtL9uUXMHzpB/R+cDLmlCTKlq1m+fk3suqaqbg3bY9KryOhohNo72XUAw8Sh8MR6S6EBBW9otnJFB9Ht5sv55QVc+h+x0RM1nj2fLmIJaf9idIn3whL1cO2sGTJEpYsWRJw+2iO1eHQ2suYgQeJMVOIHlRwMicl0mvqTQxf/iGdJl6EiBEUzf2axUPHs27qdKoLiyPdRSD4AVyFWLVGVM/Aw71TSThQMbMG1PRSySk+w0H/J6YwfMl7JJ87HFlXz45Z81h00jg2PPQc3pK9Ee3fsGHDGDZsWMDtVYpVS7T2MuqBB4lRtzh6UNEJfF6123eT++QrFP13AQAmWwJdbxxP15svw5wUeE2SSKFyrIx64DrCyFeNHlR0Ap9XYu9uHPva4wz56nXfy0CVVWx5+g0WDb6Yrc+9SV1ldG1RpnKstCSsA7jJZArn7cKCzWaLdBdCgopeKjrB/l7JA/pw/Lv/5MTPXiRlyLHU7nWx6e8vsujES9j+ygch2VCiNQoKCigoCPzB6h8hVlqg3ps1YUbFH0qgppeKTtC6V8rgYxg8bwbHf/Bvko/th9dZxoa/PcPik8ez8+1PaagNbWnn2bNnM3v27IDb/5FiFQxGFkqQVFRURLoLIUFFLxWd4NBeQggcpw7mpC9e4bjZT2Dv15Pq3XtYe/cTLBne+Hp+iL4nMzMzg6r78UeLVaAYDzGDpKqqioSEI1eMizZU9FLRCfz3kg0NFH72HblPvUbVlh0AJPbuRs+7ryPj/NMQOip18UePVUt08xBTxR15SktLI92FkKCil4pO4L+XiIkha8xZDFv4Nkf96z7iO2bg3riNNTf8laVnXk3hfxdouldnMPzRY+Uv+vmRG6WomNsOanqp6ARt92p6Pf+UpR/Q7x93EZeVjmvdZtZcdx9Lz7qGoi8WRnwgN2LlH8ar9EGSnp4e6S6EBBW9VHSCwL1i4ix0vuZiTl3+EX0fv4u4TAeutbmsvvZelp59DUVfLgx4wJkxYwYzZswIqC0YsfIXIw88SIqKiiLdhZCgopeKThC8V0ychS7XXswpyz+i79/v9A3kv+ey+pp7WXb2NRTNX9TmgdztduN2uwPukxEr/wjrlFjF1KBgdt7WMyp6qegE2nmZ4uPoct0lZF9xIflvf8bW596i4rdNrL56KknH9Kbn3deRftZQv8pCT5o0Kai+GLHyD2MN3MDAYD9M8XF0uX4cpyz/iD6P3k5c+zQqft3IqqvuYdk517Hn6x+POCO32+3Y7fYw9fiPi5EHHiTB/JqoZ1T0UtEJQudlssbR9YbxnLJiDn0euR1LeioVv25g1VVTWDbyOvZ8c+SBPFCMWPlHWAdwFTc1zsjIiHQXQoKKXio6Qei9TNY4ut44nlNXzKHPw7f5BvJfNrDqyiksP/f6Vmfk8+fPZ/78+QHf04iVfxh54EFSXKyP+stao6KXik4QPi9TQjxdb5rAqSvm0PuhW7E4Uihfs55VV01h6VlXU/j5D83ph2vWrGHNmjUB38uIlX+ol9cXZlTc5xPU9FLRCcLvZUqIp9ufL6PTlWPY+dYnbH/+XVy/57Lm+vtJ7NWN7rdfxdlnnUVMEEkLRqz8w8gDD5LU1NRIdyEkqOilohNEzivWZqXbny/jlP/Nod8/7vK92blpG79Oehj35CdwrMsPuGiWESv/MPLAg8T4VS96UNEJIu9lio+j8zUXc8qyDznqX/eS0LUjVdvy+f3Ox1l00jh2zJrX5jK2kXYKFVp7GfXAgyQpKSnSXQgJKnqp6AT68YqxmMm+/EKGLXkP+99uoKyzg+pdRaybOp1FJ45j+0vv+72xhF6ctEZrLyMPPEhUTI0ENb1UdAL9ecXExrLYVUTeRUMY+Mpj2PvnUFPkZMODzzbvEFRbcfh0Or05aYXWXkYeeJBUVlZGugshQUUvFZ1An149e/akZ04OmReO4ORvZ3Hcm0/5NpYo2cumv7/IwkEXsenxF6kpbr06nx6dtEBrL6MeeJAYm69GDyo6QfR4SSkpWfg/tj77FqVLVwG+OiwdJ5xPt1suJ6FLx+Zzo8WprRibGusMY/PV6EFFJ4geLyEEjtNOZPC8GZz035dpf+4pNNR42Tn7YxYNGc8vNz9IxdpcIHqc2kpUb2qsYm6nim+XgppeKjpBdHq1G3QUx70xjWEL36HDpechYgQFH3/D0jMm8vMVd+H9LVfJmuBax8rIQgmS5OTkSHchJKjopaIT6NNr2rRpTJs27YjnJfbuxjHP/pVTln9ElxsuxWSNp/i7ZWy5/gFWjPoze75eEvHNJbRE61gZr9IHidPpjHQXQoKKXio6gRpe1uxM+j56B6f+NI8ed11LTJKNvSt/Y9VV9/Dj6Vey68MvafBG/xKs1rHy6yGmEGIk8AxgAl6VUk474PidwPVAHVAMXCulzDvwOosXL5ZHHXWUFv3WDXv37qVdu3aR7obmqOilohOo6VWyqwDX5wvZ9uJ71BT4Xn6Jy0qn6/WXkn3laMxJ0VkvPJBYBfUQUwhhAmYC5wL9gMuEEAemkqwGjpdSHgPMAZ5s7Voqrml5vd5IdyEkqOilohOo6VVvNjUXzjrq6ftI7NWNmoJiNj46kwXHjmH9g8/g2VkQ6W62Ga1j5c8SymBgs5Ryq5TSC7wPjG55gpTyByllVePH5UB2axdqUGgtqwmPx783y6INFb1UdAI1vZqcYixmsi+7gKEL3mLQO/8kddgg6iuryHvpAxaddCm/3Pwg5b9siHBv/UfrWPkzgHcEdrb4nN/4tUNxHfBlawei8Wn5kcjMzIx0F0KCil4qOoE+vebMmcOcOXMCbn+gk4iJIf2MIQye8xxDvn6DrLFnA1Dw8TcsO+da/jd2sm+DCZ1PErWOlT/lAVvL/Wt1LUQI8SfgeODU1o7v2bOHG264gdjYWOrr6xk7diyTJk2isLAQm82GyWSioqKC9PR0SktLkVKSnp5OUVFR815ybrebjIwMiouLEUKQmppKcXExSUlJ1NfXU1lZSWZmJoWFhZjNZpKTk3E6nSQnJ+P1evF4PM3HLRYLdrudkpISUlJS8Hg8VFdXNx+Pj4/HarVSVlZGWloaLpcLr9fbfLzpWHx8PA6Hg/Lycmpra5uPR6uTxWJhx44d9OjRw3DSuVN5eTlerxebzaYrp7Vr11JXV8cJJ5ygvVNyPDnT78F+7RhK3vuCvZ9+T+nSVZQuXUV892zaTTiXnKsuptRVrqs4ORwOtm3bht1ub3OcDjk4H2ldWggxBHhISnlO4+d7AaSU/zjgvDOB54BTpZR7WrvWokWL5NFHH33Y+0UbBQUFZGVlRbobmqOil4pOoE+v3FzfCzk5OTkBtW+LU22Fm/x3PiPvlQ+p3u0beiyOFDpfczGdrhpDXLp+StMGEqtg38RcCeQIIboJISzABOCzlicIIY4FXgJGHWrwBoiJUa92lqobt6ropaIT6NMrJycn4MEb2uZkTkqk282Xc8qKORzz/EMkHd0Lr7OMzU+9yoJBF/HrbY9R8dvGgPuiJVrH6ogjqpSyDpgMfAWsBz6UUq4VQjwihBjVeNpTQCLwkRBijRDis9aupWIeeElJSaS7EBJU9FLRCdT0CsQpxhxLh7FnM+TrNzhhzrO0P2cYsraO3R9+wdKzrmHFmJsp/PwHGiI4DmkdK7+2yJFSfgF8ccDXHmjx5zP9upmCO/KkpKREugshQUUvFZ1An15N+2EOHDgwoPbBOAkhSBt2PGnDjqdqez55b8xl17ufU7b8F8qW/0J8xww6X3Mx2VeMwpIS3rrjWscqrGsaRhph9KCil4pOoE+vYHel18opoWs2fR++ndNWf0Lfv99JQvdOVO8qYtNjz7PguNH8PuUJXBu2anIvf4hEGqFmqDiAV1dXR7oLIUFFLxWdQJ9eAwcODHj2Ddo7xSba6HLdJQxf8h6D3vknjtNPpMFTQ/5bn/LjaX9i5aW3s+fr0Kchau1l1AMPEqNucfSgohOo6RUOJ/em7ex4fQ67PviCeo9vYLV26UCnK8eQfdkFWNK0L09g1APXGUbd4uhBRSdQ0yscTom9utJv2t2ctuZTej84GWunLDx5u9n02PP8cOxofpn0EGUrf9O0BEhU1wNXMY0wPj4+0l0ICSp6qegE+vRyuVy4XK6A24fTyZxs96UhLv+QQW9PJ/3Mk5G1dRTM/ZoVF97E0jMmsmP2x9S5g98OTWsvYwAPEqvVGukuhAQVvVR0An16zZw5k5kzZwbcPhJOwmQi/cyTGfT2dE5ZMYfut12FJa0drnWbWfd/T/HDwNGsmzod1/otAd9Day+jHniQlJWVRboLIUFFLxWdQJ9eiYmJR3wN/HBE2imhcxa97vszp636hGNeeIiUkwZQ765ix6x5/Hj6lawYfTO7P/6ahpq2VRfU2iusDzGXLFki+/fvH7b7hQO32x3UP1S9oqKXik6gppcenVzrt7Bz9sfs+mg+9ZW+4quWtHZ0HH8+HS+/gMSeXY54jUC8dPMQU8U0wmDW+fSMil4qOoGaXnp0svftQb9pd3P6L5/S74kp2Pv1xFuyl23Pv8OSYZexYvTN5L//X+oqp4YXegAAC7VJREFUD53rrbWXMYAHiYrF9EFNLxWdQE0vPTvFJtroPPEiTv5uNid+/hLZl1+IKcFK2Ypf+P2Ov/PDgAv5fcoT7F217qAMFq29jDzwIFExBxfU9FLRCfTpNWvWLACuvvrqgNrr0elw1LkrKfzse/Lf/Q97f/q9+euJfXuQffkFdLh4JJbUZCMPXG+omIMLanqp6AT69CosLAyqX3p0OhyxiTayL7+Qkz5/mWEL36HrTRMwp7bDvX4LG/72DD8MHMWam/7Gls++0fRtz7BWlzLSCKMHFb1UdAJ9ek2cODGo9np08pfE3t3o8/Bt9Lr/ZvZ8tZj8dz/HuWAFhZ9+B59+x54nXqfjuHPpMG4ktu6dgrpXWAdwIVrb3Ce6sVgske5CSFDRS0Un0KdXsBtM6NGprcRYzGReOILMC0fgyS9k1wdfsOOdz6jOL2TL02+w5ek3SB7Un47jziVz9JkBVUYM65S4vr4+nLcLC+Xl5ZHuQkhQ0UtFJ1DTSzUna3YmPe+6lu5zn+aEOc/Rcfx5mGwJlP+8lnVTp/PDMRew+rr7KPpyIQ1e/5eawzoDV7EeuMPhiHQXQoKKXio6gT69lixZAsCwYcMCaq9HJy1Ib98eW7dupA0bRN/H72LPV4vZ/dGXOBeupOi/Cyj67wLMqclkjT6TDpecQ/Jxh39vxpiBB4lqM4UmVPRS0Qn06bVkyZLmQTwQ9OikBS29Ym1WOow9m+Pfe5rTVn1M7wcmk9i3B7Wl5ex4Yy7Lz7+RRYMvOez1wjolDmfKYrhQMbMG1PRS0Qn06RXozLsJPTppwaG84jPT6XbL5XS75XIq1uay+8MvKfjsOzw7CzjcLppGHniQRFu+qr+o6KWiE6jppaITtM1LNjRQtuIXtsdJIw88VERbvqq/qOilohOo6aWiE7TNS8TEkDrk2MOeE9YB3GQyhfN2YcFms0W6CyFBRS8VnUCfXgUFBRQUFATcXo9OWqC1l3pv1oQZFX8ogZpeKjqBPr1mz57N7NmzA26vRyct0NrLyEIJkoqKikh3ISSo6KWiE+jTKzMzk8zMzIDb69FJC7T2CmsWitlsDuftwkJ6enqkuxASVPRS0Qn06RVoEasm9OikBVp7GTvyBElpaWmkuxASVPRS0QnU9FLRCbT3MtbAg0TF3HZQ00tFJ1DTS0Un0N4rrAO4iq/SG7/qRQ8qOoE+vWbMmMGMGTMCbq9HJy2I6iUUFfPAi4qKIt2FkKCil4pOoE8vt9uN2+0OuL0enbRAa6+wTolVTA3S28arWqGil4pOoE+vSZMmBdVej05aoLWXemsaBgYGEcduP1wFDwOtMPLAgySYXxP1jIpeKjqBml4qOoH2Xn4N4EKIkUKIjUKIzUKIqa0cjxNCfNB4fIUQomtr11ExDzwjIyPSXQgJKnqp6AT69Jo/fz7z588PuL0enbRAa68jDuBCCBMwEzgX6AdcJoQ4sKTgdUCZlLIn8DTwRGvXUjEPvLi4ONJdCAkqeqnoBPr0WrNmDWvWrAm4vR6dtEBrL3/WwAcDm6WUWwGEEO8Do4F1Lc4ZDTzU+Oc5wAwhhJCqJnO2QMV9PkFNLxWdQJ9eI0eODKq9Hp20QGsvfwbwjsDOFp/zgRMPdY6Usk4IUQ6kAc6WJ+3du5ehQ4cSGxtLfX09Y8eOZdKkSRQWFmKz2TCZTFRUVJCenk5paSlSStLT0ykqKmp+eut2u8nIyKC4uBghBKmpqRQXF5OUlER9fT2VlZVkZmZSWFiI2WwmOTkZp9NJcnIyXq8Xj8fTfNxisWC32ykpKSElJQWPx0N1dXXz8fj4eKxWK2VlZaSlpeFyufB6vc3HrVYrZrOZvLw8HA4H5eXl1NbWNh+PVieLxUJ1dTWVlZWGk86dysvLSUxMZPfu3bpy6t69Ox6Ph7y8PGWcgo2Tw+Ggrq5uv78Tf50OxRE3dBBCjAPOkVJe3/j5SmCwlPLWFuesbTwnv/HzlsZzSlpea8GCBXLAgAGHvV+0kZeXR5cuXSLdDc1R0UtFJ1DTS0UnCMxr1apVQW3okA90avE5G9h9qHOEELFAMnDQS/8q5oEnJSVFugshQUUvFZ1An165ubnk5uYG3F6PTlqgtZc/A/hKIEcI0U0IYQEmAJ8dcM5nwMTGP18CfP9HWP8GNVMjQU0vFZ1An15z585l7ty5AbfXo5MWaO11xAFcSlkHTAa+AtYDH0op1wohHhFCjGo87TUgTQixGbgTOCjVENQMSmVlZaS7EBJU9FLRCfTp1bNnT3r27Blwez06aYHWXsamxkFibL4aPajoBGp6qegEgXkFuwauGSoWszI2X40eVHQCNb1UdALtvcI6gO/duzectwsLn3zySaS7EBJU9FLRCdT0UtEJtPcyBvAgmTdvXqS7EBJU9FLRCfTpNW3aNKZNmxZwez06aYHWXmEdwFVMTFGxPACo6aWiE6jppaITaO8V1oeYX3zxhSsuLm5j2G4YBkpLSx2pqanOI58ZXajopaITqOmlohME7NXljDPOaHUrn7AO4AYGBgYG2mFsamxgYGAQpRgDuIGBgUGUEpYB/EgbQkQLQohOQogfhBDrhRBrhRC3N349VQjxjRAit/H/KZHua1sRQpiEEKuFEJ83fu7WuDlHbuNmHZZI97GtCCHaCSHmCCE2NMZsSLTHSgjxl8Z/e78LId4TQsRHY6yEEK8LIfYIIX5v8bVWYyN8PNs4fvwqhDgucj0/PIfweqrx3+CvQoiPhRDtWhy7t9FroxDinLbeL+QDuJ8bQkQLdcBdUsq+wEnApEaXqcB3Usoc4DsOUUpA59yOr1RCE08ATzc6leHbtCPaeAaYL6XsAwzA5xe1sRJCdARuA46XUh4FmPDVJorGWM0CDiwafqjYnAvkNP53I/BCmPoYCLM42Osb4Cgp5THAJuBegMaxYwLQv7HN843jpd+EYwbevCGElNILNG0IEXVIKQuklKsa/+zCNyB0xOczu/G02cCYyPQwMIQQ2cD5wKuNnwUwAt/mHBCdTknAKfjq9CCl9Eop9xLlscJXw9/aWPUzASggCmMlpVzEwRVLDxWb0cCb0sdyoJ0QIis8PW0brXlJKb9urCkFsBxfRVfweb0vpayRUm4DNuMbL/0mHAN4axtCdAzDfUNK476fxwIrgAwpZQH4BnmgfeR6FhD/Bu4BGho/pwF7W/yji8aYdQeKgTcal4ZeFULYiOJYSSl3AdOBHfgG7nLgZ6I/Vk0cKjYqjSHXAl82/jlor3AM4K3tIRTVuYtCiERgLnCHlLIi0v0JBiHEBcAeKeXPLb/cyqnRFrNY4DjgBSnlsUAlUbRc0hqNa8KjgW5AB8CGb3nhQKItVkdChX+PCCHux7cM+07Tl1o5rU1e4RjA/dkQImoQQpjxDd7vSCmb3ostavqVrvH/eyLVvwAYCowSQmzHt7w1At+MvF3jr+kQnTHLB/KllCsaP8/BN6BHc6zOBLZJKYullLXAPOBkoj9WTRwqNlE/hgghJgIXAFe02CshaK9wDOD+bAgRFTSuDb8GrJdS/n97d8gSQRiEcfw/acGm2aAWq/GCQbDoBbMgaPBDiFzyC9iE6waDRQ+r2sUgalA8k8VqsRjGMO/Blgt7cLcMPD9Y7tg9bt9hlmF3dpf3tLapPqHFAXA967FNyt2P3X3R3ZeI3Ny5+x5wT0zOAcliAnD3b+DLzFbLqk1iIu60uSJaJx0zmyvH4iim1LmqGZebAbBfnkbpAD+jVksGZrYFHAE77v5b2zQAds2sMrNl4ibtQ6M/d/epL0CXuPv6CfRmsc8pxbFOXOI8A09l6RI941vgo3wutD3WCePbAG7K95VyMA2BS6Bqe3wTxLMGPJZ8XQHz2XMFnABvwCtwDlQZcwVcEH38P+JM9HBcbohWw1mpHy/EUzitx9AgriHR6x7VjH7t970S1zuw3XR/epVeRCQpvYkpIpKUCriISFIq4CIiSamAi4gkpQIuIpKUCriISFIq4CIiSamAi4gk9Q9KzgUBuyoNLgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"diff_limited_f4 = AiryDisk(4, .55)\n",
"diff_limited_f12 = AiryDisk(12, .55)\n",
"\n",
"def plot_g50s_mtf(fnos, system=False):\n",
" fig, ax = plt.subplots()\n",
" for fno in fnos:\n",
" u, v = diffraction_limited_mtf(fno, .55)\n",
" if system:\n",
" v *= abs(pixelaperture_analytic_otf(4.63, 4.63, u/1e3, 0))\n",
" \n",
" ax.plot(u, v)\n",
"\n",
" ax.axvline(1 / (2 * 0.0053), ls=':', c='k', alpha=0.5, zorder=2)\n",
" ax.text(100, 0.82, 'Nyquist', rotation=90, ha='left', va='bottom')\n",
" ax.set(xlim=(0, 125))\n",
" return fig, ax\n",
"\n",
"plot_g50s_mtf([4,12], False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There may be curiosity as to what the system MTF (as measured by the slanted-edge method) would be for these lenses paired with this sensor/camera. We also plot this:"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 1 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x1c2f208a58>)"
]
},
"execution_count": 147,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_g50s_mtf([4,12], True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of these has about 50% MTF at Nyquist, the other about 20%. We are interested in seeing how different these are when visually examining images. For this purpose, we render two scenes synthetically - our chirped target blurred by each lens:"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [],
"source": [
"psfs = [diff_limited_f4, diff_limited_f12]\n",
"scenes = [scene.conv(p) for p in psfs]\n",
"scene_names = ['MTF-50', 'MTF-20']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For brevity, we will not plot these now, doing so after we model the detector capturing the scene:"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {},
"outputs": [],
"source": [
"filenames = []\n",
"for specification in (G50s, one_hundred_pct_fill_factor):\n",
" det = Detector(specification['pixel pitch'], pixel=specification['pixel'])\n",
" for scene, name in zip(scenes, scene_names):\n",
" fn = specification['name'] + '-' + name + '.png'\n",
" det.capture(scene)\n",
" det.captures[-1].data *= (1/0.05) # some rescaling to account for apparent intensity loss\n",
" det.save_image(fn)\n",
" filenames.append(fn)"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 1 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x1c2f262128>)"
]
},
"execution_count": 153,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"det.captures[-1].slices().plot('x')"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GFX-G50s-MTF-50.png\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"GFX-G50s-MTF-20.png\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"100pct-fill-factor-MTF-50.png\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"100pct-fill-factor-MTF-20.png\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for fn in filenames:\n",
" print(fn)\n",
" display(Image(filename=fn))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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