{ "cells": [ { "cell_type": "markdown", "id": "a7ce02fb-8404-4c4a-b32c-91c1df95dd56", "metadata": {}, "source": [ "# Optimizer - spectrum" ] }, { "cell_type": "code", "execution_count": 1, "id": "6e245eb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import argrelextrema\n", "\n", "data = np.loadtxt('reference_spectrum.txt')\n", "\n", "detuning_reference = data[:,0]\n", "intensity_reference = data[:,1]\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "fa52e5ca", "metadata": {}, "outputs": [ { "data": { "image/png": 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ji5PYWt2IP948UVb9lgDgeH07bnlpG842dyFRp8E9MwfjpqklyE1LcLueIAg43dSFTYfrsK6qFv872oDPjzXi82ONGDwgGffPHoaF4wsZEFHEsEaISMHGD8xAbqoB7UYLdpxwn7Zo7LBvspqV0v9TUZ7GFKXjX/dditkjc2G02PD9t3Zh9bZT/XLf4nTOpLLMfrm/BJ0Gj15VjjfumooBqQYcrm3H4srPsfFgXb/cfzg0dZhw2yv2IGhQTjLW/HAGfjhnuFcQBNinQ0uyk3Dr9DK8cdc0fPbjWbhv1lBkJOlwvL4DP3x7NxZV/g9fnvI9rUbUVwyEiBRMrVbh4iHZAOAVCLU5mgDGym7y6Uk6rLp1Mm6aVgJBAB5+by/e2X464ve70/EBPKmkfwIh0YxhA/DxD2Zg6qAstBktuPO17Xhlc3W/jiEUgiDgJ3/fg9NNXSjJSsK7905HaXbgNT8DM5Pw0NwR+OzHs/CjuSOQmqDFvrOtuO6Pn+Mnf9vjtbkwUV8xECJSuIml9g94z/9xtzsCodSE2JlB16hV+OW1Y3D3jEEAgEf+sRebDkUuU9LSaZY2khUfp/6Uk2LA/901DTdMKYYgAE/+qwp/+O+Rfh9HMNbsq8G6qlroNCr8+ZZJIU+tpibosHTWUGx86HJcP2kgAODtHaex4Lef4QuXxpREfcVAiEjhRhfaC48P1rS6XS72t0kxxE4gBNinUn66YBSum1gEq03A9/76JY7WtUXkvg47brcoIxFZydGZItRr1XjmurFYduVwAMCKtYex4j+HojKW3pitNjznGNu9M4dgVEHfF5nkpBiw4hvj8e6901GSlYSzzV24cdUX+N2GI7DZuNaH+o6BEJHCjci3F+HWthpxwVEXBABtMRoIAfZg6NnrxmH64Gx0mqy4781d6DaHv92FmA0akpsS9tsOhkqlwv1XDMNjV40CAPxh41H85dNjUR2TL//66hyqGzqQnazHPTOHhPW2p5Rl4aMfzMA3Jw+EIAAr1x3G0je/jNueS9R/GAgRKVyKQSvtiH6svl26vL3bXouREkNTY670WjV+e2MFclL0OFjThl9FIEsiBkJDB0Q3EBJ9e8Zg/HTBSADA0x8dxD92nYnyiJwEQcCrn58AANx56aCIBNApBi2eu348/t/Xx0KnUeHjfTVY8pct0gpHolAwEPKhsrIS5eXlmDJlSrSHQtQvSrKSAEDqXwM4p8ZiqUbIU25qAn51/XgAwCubq7HvbEtYb18KhKKcEXL1ncuG4NuX2mukfvL3vdhzpjm6A3LYe7YFe860QK9V44YpxRG9ryVTSrD6O9ORnazHvrOt+Oaft+Bcc1dE75PiFwMhH5YuXYqqqips37492kMh6hel2fZA6GSjSyAkFksbYmPVWE9mjczFVeMKYBOAx/+5D+HsEStmyIYMiK1Oxz9dMApzRuXBZLHhu//3JZpcpjSj5Z+7zwEA5o7OR3Y/9J6aVJqJd++djsL0BByr78A3XtiC8y0Mhih4DISICMWOjNDpC85ASKwRSjbEflfjJ64uR6JOg12nmrHhQHhWkRktVpx1ZBmiXSPkSa1W4dffHI/SbHvx8I//tiesAWCwbDYBH+6x7we30GOrlkgaPCAFf/vuxRiUk4yzzV245aVtMREUkrwwECIiFKTbG93VtTprLcTi40R97AdCeWkJuO3iMgD2ItpwrCaqaemGIAAGrRrZUVox5k96og5/unkSdBoV1h+olTIy0fDVmWbUtHYj1aDFZcMH9Ot9F2Yk4v++PQ0F6Qk4WteO21/ZxgJqCgoDISJCnqPjb21rNwDAahNgttqDiQRt7AdCAHDPZYORYtCi6nwrNh3ue1bofIv9sSjMSIRKFZvbO5QXpuH+2cMAAMs/2I86x/nrb58daQAAXDI0Jyr7ohVlJOKNu6YiM0mHPWda8KO/fRXVDBnJCwMhIkJuqr2mQwyETBab9DuDTh5vE5nJeqlI9/UtJ/t8ezWOQCjfx7YQseTey4dgTFEaWrrMeHbNwaiM4bMj9QDQ79kgV0NzU7Hq1snQaVT4aG8NKjcejdpYSF7k8Q5HRBEl7gHV2m1Bl8nq1pPHIJOMEAB866JSAMAnh+txsrGjT7d1zlF4W5AR24GQTqPGU9eOBQC89+XZsK+c60270YIvTzUDAGYMy+nX+/Y0uSwLP180BgDw63WH8fmxhqiOh+SBgRARIS1BC73G/nbQ2GGE0ZER0mlUstr1uywnGTOHD4AgAG9t69s+ZGJGSKyfimUVxRlYVFEIAHjqw6p+nRbac7oZVpuAooxEqeg+mm6cWoIlk+1bkix7+ys0d7J4mvxjIEREUKlUyEiyL5Nv7jRLGSE5ZYNESxzTYx/uPdengOBcsxgIJYZlXJH2o7kjoNeq8cXxJnxyuL7f7nfX6WYAwISSjH67z948sbAcg3KSUdPajUf/sS/aw6EYx0CIiAAAmUn2lVEXOk1SRihBJvVBrmaNyEWiToPTTV3Yd7a19z/oQU2rY2pMBhkhwL5r+y2OqcE/buq/7Te+PGnfrHdCSf9vStuTZIMWv72hAhq1Ch/uPY/1VbXRHhLFMPm9yxFRRIgZoQsyzwgl6jWYNdJetPvRvvMh305Ni72VQL5MAiEAuHvGYOg0KmyrbsKOE00Rvz9BELDbkRGaGEMZIQAYNzAD355h78C9/IP96DRxST35xkDIB26xQUokZoSaXTJCclkx5mnBWHtTv4/3hhYI2WwCLjhqS3L6oUtyuOSnJ+DrEwcCAFZ9djzi91fXZkRjhwlqFcKy03y4/eCKYRiYmYizzV347YYj0R4OxSh5vstFGLfYICXKTHZkhDrknRECgMtH5EKrVuFEYydOuWwbEqi2bgusjqaMYqZMLu507EO2/kCd1A4hUg6ct089Dh6QEpX+Qb1J0mvx5DWjAQCvbD4hdQoncsVAiIgAAOmJ9oxQS5dZ1jVCgH2X8omOmpXPjgZfONzkyAalGLSyCwaH56VialkWrDYBb2/v28q53hyqaQMAjMhPjej99MXskbmYPjgbJosNK9cejvZwKAbJ812OiMJO3GW+3eiaEZLvW8Sljp42m48G30tG3K9Kbtkg0c0XlQAAVm87FZbtRnpy0BEIjcyL3UBIpVLh4fkjAQDv7TojZbGIRPJ9lyOisEoxiIGQxSUjJK9siKtLhmYDALYebwp6Gb3YeyYrBvcYC8S8MflITdDiXEs3tkewaFoKhGKwPsjV+OIMXDWuAIIA/OG/7DhN7hgIEREAZyDU1m2Ji4zQmKJ06DVqNHaYcKopuDohMSMkFpDLjUGrwbzR+QCAf+2JzGasNpuA6oZ2AMDQ3JSI3Ec4iXuyfbzvPKob+tZ1nOKLfN/liCisnFNj8ZERMmg1GF1kz1R8eepCUH8rrhjLlOnUGAAsHG/vNP3R3hpYrLZerh28ujYjus02aNQqDMyM/aaTI/JTMXtkLmwC8JdPI7+ijuSDgRARAQBSxEAoTjJCAKSC6S9PNgf1d00dZgD2jVzl6uIh2chK1qOpw4QtxxvDfvtiVqU4MxE6jTyeJ/fOHAIA+PvOM6hri+yKOpIPeTx7iSjiUg327Ee8ZIQA+x5cALDnTHNQfyfVCMl0agwAtBo1rhyVBwD478G6sN++uKltaXZy2G87UqaUZWJiSQZMVhve7uNedBQ/GAgREQD3jJAxTjJC5YX2qbFDtW1SX6BASKvGZJwRAiB12P7kUPj3Hqt2BEKDcuQTCKlUKnzLsQ3J6u2nI7qijuRD3u9yRBQ2yQZ79qfdZJF9Q0VRWXYyEnRqdJttONEYeIHshTjICAHAJUNzoFWrcLyhAyfCXCB8ssFegF6aHf0d54OxYGwB0hK0ONvchc9CaK1A8YeBEBEBsHfhBQBBAFq77fsyybWhokijVmGEo8fNwfNtAf9dc6e9RkiufYREqQk6TC6z10ltOhTe6TFxJZ7cAqEEnQbXObYheWvrqSiPhmKBvN/liChsEl3qgcSpIblnhADnHljBNNJrN9oDQXElnZxdPiIXAPDZkfBmP8632LerKMyI/RVjnm6YWgwAWH+gFg3txiiPhqKNgZAP3HSVlEijVkk1QWKxsNwzQoBz+4fDtYFnhMRAKNkg/0Bo+mB7Y8kdJy+ErSamy2TFBUfWrCBdfoHQyPw0jBuYDotNCHljXoof8n+XiwBuukpKlaS3Z4DEvbbiISMkFvMGWiMkCIIzIxQHgVB5YRoSdRq0dJlxpK49LLd5zpENStZrkCbTrNnCcfY+S//aw0BI6RgIEZFErBNqdvTRMcRBRsgZCHUGlBHpNFkh7sgRDxkhnUaNiaUZAIBtYdpu43yzvQdPQUYiVCpVWG6zv101rgAAsP1EkzTNR8ok/3c5IgqbREdGqM2REYmHjFBRRiJ0GhVMFpuUyfCnw3HsKpUzQyZ3k0uzAAA7whQIiY9jQXpCWG4vGgozEjGlLBOCYO++TcrFQIiIJIkeDRTjoUZIq1GjOMu+sulEQ+97jolBYIpBK9tsh6epg+yB0Pbq8GaECmVYH+Rq3hh7Vmh9VW2UR0LRJP93OSIKm0SPDEg8ZIQAYJCj+3F1AHVCHS6BULyoKM6AWgWca+lGXWvft5Y41yzfFWOurhhpX1G3/UQTWrrMUR4NRQsDISKSeE4FxUNGCADKHHVCJwNoKtjeHX+BULJBi8ED7DvE7z8XeBuBntQ69unKTzf0+baiqSwnGUMGJMNiE/Dp4fB33yZ5iI93OSIKC89AKF4yQkWOzEUgNULxtHTe1WjHdiP7z7X0+bbE3jsDUuUdCAHAHMd+bBsOcHpMqRgIEZEkUef+4R8Pq8YAoDDDXtR7rrn3aaF4aqboyhkI9T0jVN9mD4RyUuQfCM12TI99eqSBe48pVHy8yxFRWHhPjcVHRkisZQlkmXQ81ggBwOjCdAB9D4RsNgGN7fY+U/EQCE0oyUSiToOmDhMO1gTedJPiBwMhIpJ4T43Fx1uE2P24rs0Ik8Xm97ptcT41dqqpE63doRcGt3SZYXFkTrJT5L0pLQDotWppVd3nx7gJqxLFx7scEYWFZwYoXjJC2cl66DVqCAJQ28uqqXgslgaAjCS9VCtV1YeskFgflJ6oi5saskuG2rch2czd6BWJgRARSeI1I6RWq5DvaP53vsV/IBSvU2OAcwPaQ32YAnLWB8k/GyS6eEgOAGBbdRPMVv8ZQ4o/8fdKJ6KQuQZCGrUKOk18BEKAvWD6VFOn1AOnJ1JDxTgrlgaAobkpWH+gFsfqQ99zrL49fgqlReUFachI0qG504y9Z1swsSQz2kMK2NG6dmytbsSe0y0409yJhjYTzFYbLDYByQYtMhJ1yE7RY1BOMgblJGNkfhpG5KdCo46PZqHhEH+vdCIKWaLe+ZYQL9kgkVgnVNPL1Fg8Z4SG5tp7CR3tw+arDWKhdBwsnRep1SpMLs3E+gN1+PLkhZgPhEwWG97deRpvbj0VUvF7qkGLiaWZmD0yF/PH5CM3Tb5bpYRD/L3SiShkrhmheKkPEolTOQ2OqZ2edBitAIBkQ3wdPwAMGWBvLNm3QMjRQyiOMkIAMFEMhE5diPZQ/Pr8aAN++o+9ONFo3y5Gr1FjclkmJpVmoiw7GblpBhi0GmjUQFu3BS1dZtS1GlHd2IFjde3Yd7YFbUYLPjlcj08O1+Nn/9qPS4fm4M5LB2HmsAFQKzBTxECIiCSuW2zEW0ZInMpp7DD5vV632R4Iee67Fg+GODJCdW1GtHabkZagC/o2mhwZoezk+KkRAoBJjizQzpMXIAhCzO0zJwgCfrvhCH674QgEwf58vnfmYHx94kBkBnEuLFYbDta04fNjDfh4Xw12nWrGZ0ca8NmRBgzPS8Ej80dhlqO3klIwEPKhsrISlZWVsFqt0R4KUb9K0sVvRijbEQiJGY2edDkCIUOcHT8ApCXokJtqQF2bEcfq2jEhhCmgC532QCgjzgKhcQMzoFWrUNtqxNnmLgzMTIr2kCQ2m4AnPtiH//viFADgxqnFeOyq8pBaPGg1aowpSseYonR857IhON3Uidc+P4HV20/jcG077nh1O2aPzMWz141VzJRZfP2XL0yWLl2KqqoqbN++PdpDIepXSXFcIyRNjbUHlhFKiJOl4Z4GifuuOaZWgtXs2Jw0Myn4bFIsS9RrpF5LO0/G1vTYynWH8X9fnIJKBfxy8Rg8c924sPW5Ks5KwmNXl2Pzw7PxncsGQ6dR4b8H6zD3+U8Vs+1IfL3TEVGfZLh8uMVbRiQnwIxQt9m+fDpeNpz1VJptz3ScagoxEBIzQonxlRECIGXIdp1qju5AXPx7zzn8YeNRAMD/+/o43DytNCL3k56ow08XjMJH98/A6MI0XOg049uv78BL/6uGIMT31iPx+UonopC4BkLJ+vgMhJo6TH73lDJaHDVCcXb8opIseyAUckao054RyoizjBAAjC2yb0PSl4aT4VTb2o1H/7EPAHDPzMH45uTiiN/nsLxU/ON7l+CmaSUQBOAX/67C/1tzKK6DIQZCRCRxXTIeb31Gshw1LVabgJaunreY6DLF99RYSbZ9aux0CBkhQRDiOhAaUyTux9YSExuwPvqPfWjpMmNsUTp+9LUR/Xa/eq0av7x2DB6ZPxIA8MInx/C7DUf77f77GwMhIpK4rpTRxlkgpNeqkZ5o//D2Nz3WbRGnxuI0EBIzQk0dQf9tl9kKk6PzcmZS/E2NDRmQDINWjQ6TFSdDnDoMl8+PNmD9gVpo1Sqs+MZ4aPu5ualKpcI9M4fg8avLAQC/WX8Yf916sl/H0F8YCBGRTxp1/L09ZPdSMG222mB1ZALicfk8AJQ6AqHaVqNUGB6oC45skE6j8tqOJR5oNWqMdGxDsu9sS9TGIQgCnl1zEABw87QSjMhPjdpY7rp0EB6YMxwA8LMP9mPHiaaojSVS4u+djojC4qLBWdEeQtj1VjDtGhgY4rRYOiNJh1THFGiw02NSoXSSPub67ITLGMfKsX3nohcIbThQhz1nWpCs1+D7VwyL2jhE918xFFeNLYDZKuC7f/1S2m8uXsTnK52IQrb2gcvw+NXluO3ismgPJewyHFNjPdUIiT2EVKr4ax8gUqlUKMq0bzdyrpcNaD1J9UGJ8VcfJBoTAwXTL/2vGgDwrYtKY2JPN5VKheeuH4fheSmobzPi8ff3xVXxdHy+0okoZMPzUnHXpYPiasNVUVovgZDRsXTeoFXHbcYDAArS7Y3yzveyAa0nMRCKx/ogkdhLKFqB0IHzrdhyvBEatQq3xtB/RpINWvxmSQW0ahXW7K/Bv/acj/aQwib+3umIiHogFku39hAIxfP2Gq4KMkLLCEldpeNwxZhI3Ji2scOExl56TkXC61tOAADmjc5HkeM8xYrRhem4b/ZQAMDyf+6TpkrljoEQESmGFAh19xQIxfeKMVFhiBkhMZOWHsdTY0l6LQY6pg77sjltKIwWK/7tyLTcPK2kX+87UEtnDcXwvBRc6DTHzZJ6BkJEpBjpAdYIxXsglJ9u/6CvaQ0uIyQGkGlxHAgB9ulhADjcz4HQxoP1aOu2ID8tARcNzu7X+w6UTqOWltS/vuUEjtf372MUCQyEiEgxeguExKmxeC2UFokZoXNBZoTauy0AgNSE+N6ve5hjeuxobVu/3u8/d58FAFxTUQh1DPfxmjFsAGaPzIXFJuDZjw9Gezh9Ft+vdiIiF4EGQvG6vYZIrBE639Id1OqfNkcglBKmDT9jlVgndKQfM0KdJgs2HKwDAFwzvrDf7jdUP10wCmoVsLaqFgfOx8aWJKFiIEREipGWaP8Ab+2y+Py91FU6TrfXEImrxjpN1h4fC1/axKmxBGVMjfVnILTlWCNMFhsGZiZKK9di2dDcFCwYWwAAqNwo71ohBkJEpBi9ZoTEfcbitJmiKEGnkR6L+vbA64TajY6MUJxPjQ1xZITq24z9tjJq4yF7NmjWiFzZtG5YOsu+guzDvedxTMa1QvH9aicicpHmsmrM16aa3RZlFEsDwIBUe6O+uiC6BLcppEYoxaCVlq73x8oxQRCw8WA9AGDWyAERv79wGVWQhjmjciEIwKpPj0d7OCFjIEREiiFmQQQBaDN6TwkppY8QAOQ49l0LZrsEZyAU31NjAFCWY9+T7URj5DdfPVrXjrPNXdBr1Zg+OCfi9xdO37lsCADg/d1ne8y0xjoGQkSkGAatRpr28tVUUewjZFBAIDQg1V4nFFwgZH/M4r1YGgBKs5MBACcbOyJ+X5uPNgAApg3Kkl2h/pSyTAzPS0G32Yb3vjwT7eGEhIEQESmKWOjr63+vzj5C8f/WOMCxh1V9gN2TBUGQaoTS4nxqDADKsu0ZoZP9kBHafuICAMRs7yB/VCoVvnVRKQDgr1tPyXIPsvh/tRMRuUjz011aSVNjYo1QoBmhTpMVYllVvBdLA0BJVv9khARBwPYTTQCAyaWZEb2vSFk8oQhJeg2O1rXji+NN0R5O0BgIEZGiJDumdTqNVq/fKWWLDSD4QEisD9KoVYoIFPurRuh0Uxfq2ozQaVQYX5wR0fuKlNQEHRZV2HsfyXF6jIEQESlKsqMGo8PkXSxttCijszQQSiBkz6ClJmhls7y7L0qy7IFQS5c5okvotzmyQeMGZsg6AL+2oggAsGZfjZRZlYv4f7UTEblI0jsyQibvN2uz1T73o1dCIOSoEWoIsEZIXGWnhEJpwP48yXUEi5GsE9ohTouVyXNaTDSlLAsF6QloM1qwydETSS7i/9UegsrKSpSXl2PKlCnRHgoRhVmKwZER8rF83uTICOk08f/WmJNqXz7f2GGC1UdPJU9KWjovKnOsHDsRwTqhr860AAAmlsg7EFKrVdLWIB98dS7KowlO/L/aQ7B06VJUVVVh+/bt0R4KEYVZkiGAjJACAqHMJHsgJAg9d9p2JW24qpCMEACURnjlmNFixRHHxq5jitIjch/96RpHndD6A3U+FyPEqvh/tRMRufBXI2S22oulddr4r4HRadRSUHMhgBqYdqOjh5ACVoyJxDqhU02RCYSO1LbDYhOQkaRDoWP/NzkrL0jDkAHJMFls2HSoPtrDCRgDISJSFKlGyMeqMZNj01W9Rr5Fq8HITLZnhS509B4IdTgerySZNfzri6JM+zYb51u6InL7+87ap8VGF6bFRQG6SqXCleX5AIANB2qjPJrAMRAiIkVJNgSQEdLI/0MpEFIg1Nn7NIbYbFJJgVChY7+xc82Bb0wbjP3nWgEAowvlPy0mmjMqFwCw6VA9LI7XU6xjIEREiiJmhHwWS0tTY8p4a8xMshc+B5YRsj9e4uOnBEVSINQVkY7J+885M0LxYkJJJjKTdGjpMmPHyQvRHk5AlPFqJyJyEDNCPoulLcoplgaArCQxI9R7ICQ+XkrKCOWlJUClAowWG5oCCBaDYbUJOHDeXigdT4GQRq3CrBH2rJBcpseU8WonInLwlxFyTo0p461RnBprCigQsj9eyQpaNabXqqV+S+GeHjtzoRNdZiv0WjUG5aSE9baj7YpReQCADQfk0U9IGa92IiKHZD8NFU1KqxEKYmpMfLyUsL2GK7FO6GxzeAumj9W3AwAG5yRDo46v59tlw3OgVatwvKEDpyO04i6cGAgRkaIkBVAsrYTO0kCQxdKOQEicWlQK1zqhcDpeb2/SOGRAfGWDAHvTTXHftC3HGqM7mAAo49VOROSQHNDyeWW8NYpNFQMqlnYEjokKKpYGgMIMe3+fcAdCYkZoyIDksN5urLh4SDYA4PNjDVEeSe+U8WonInJI8ttQ0V4srZgaoSCKpaWMkIKKpQGXJfRh7iV0rM6REcqNv4wQAEyXAqHGiKy4CydlvNqJiBzEYt9us81rjy2lLZ/PcNQINQcwNdYh1ggpNBA6G+ZiaWdGKD4DoYklmdBr1ahrM+JYfeT2agsHZbzaiYgcXJd/d7pkhQRBUFxDxbREeyAkbqjqjzMjpKypsUjUCF3oMKHRMR05KCc+p8YSdBpMLrVvJLslxqfHGAgRkaIYtGpplY7ryjGrTYCYwVdKjVCaY98wk9WGbrN3zZQrcSpRSX2EACA3zb58vqHdGLZOyccb7NmgwvSEuG5HcLHL9FgsU8arnYjIQaVSIcmxBNy1l5DJ5UNOKavGkvVaiFtc9bZbuNRQMY4/uH3JTjZArQIEAWFrqihOFQ2O02kxkVgntLW6KabrhJTxaicicmFwBEJGizP4EbtKA8opllarVdIO9K1dPU+PWaw2aUVdksL6CGnUKuQ4mirWtRnDcptib53S7KSw3F6sGlOUDr1GjaYOE07FcD8hZbzaiYhcJOjsb32u00GuGSFtnDW488dZJ9RzRqjT5XFSWrE04Jweq2sLT8H0mQv2eqPirPgOhAxaDUYX2bcP+fJU7O47xkCIiBTH4Jj6cssIWZ09hFQq5QRCqQn2QKjVT8G0WCitUaukx05JxG026sOUETpzwZ4dGZiZGJbbi2UTiu0F01+ebI7uQPxQ3jOaiBTPoPUxNaawFWMisWC6tavnjJC087xOo6ggUZSbam+qWNcarqkxe0ZoYGZ8Z4QAYGJpBgBmhIiIYoqvqTGzwnoIicSpMX/F0s5CaeVNiwGuU2N9D4SMFitqHVNsxQrICE0ssWeEDta0ubWriCXKesUTEcF3RsiosO01RKmOjJC/XkJSIKSwHkKiAanhmxo739wNQbBvXpvl2OstnhVmJCI/LQFWm4A9Z1qiPRyflPWKJyICYHBkhIxuGSFlba8hShNrhPxMjYn/k1fazvOi3NTwFUufdqkPUso0Y6xPjynrFU9EBCDBT42QUnoIiQKZGus22x8bJa4YA4ABYo1QGDJCSlkx5kosmN59qjm6A+mBsl7xRERwZoTcaoQsyi6W9jc1ZrTYHyclrhgDXDNCxj43BlTSijGRuIS+6nxrlEfimzKf1USkaL6Wz0sbrnJqzIsYMCYodGpMrBEyWWx+2wwEQswIKSoQKkgHYD/2lgA2+O1vynrFExHBd7G0yaLQQCjRsXzezwe8ODUmrrZTmgSdRsqc1fexTsgZCClnaiw9SScFfvvPx17BtDKf1USkaAl+iqWVViMkbvrpuu+aJ3FqTKytUiIxK9TXXkK1rfZAKi8toc9jkpPRhY7psXOxNz2mrFc8ERH8N1RU2vJ5KRDy0+NFzAgZFDo1BkDab6yxDxuvCoIgBVJ5jt5ESlHumB5jIEREFAOcNULee40prVg6WS9mhKw9XkesEVJqsTQAqefPhc7QA6HmTrP0PBMzTEohZoT2MxAiIoo+sejXaPa1xYay3haTHEvi/U2NOWuElJsRynQEQk19yAiJy++zkvVSVlIpxJVjR+vb3VZrxgJlveKJiOCyfN41I2RR5hYbKY6pMaPFBovV5vM64uOk1GJpAMhKcmSE+hAIifVBuQrLBgFAfloCspL1sNoEHKppi/Zw3Cj3WU1EiiVNjfnICCmtRsh1/7AOk+//qRuZEXJmhPqw/FuphdIAoFKpYnZ6TFmveCIi9FQs7Vg1prBASK9RQ6u210X1tCmmlBFSWLbMVVayvd9SXzJC4tSY0gqlRSPzUwEAh2uZESIiiipfu887p8aUVSytUqlcltD3lBFSdkNFAMhM6nuNkJIzQgAwLNceCB2ta4/ySNwxECIixfG3fF6rVt7bYnIvBdPO5fPKe2xE2cn2LE5fVo0puUYIAIbmpQAAjtQxI9TvFi9ejMzMTFx//fXRHgoRxQBfy+etNnH3eWVlhAAgqZdeQtIWGwpb6eQq0zE11tRhCnm/sVpHD6FchWaEhubaA6HaViNa/Gzp0t8UEQj94Ac/wOuvvx7tYRBRjBAbA7pmhCyOQEijxIyQIxDq7GFqzLlqTLmBkNhHyGixoSvE5d91Cp8aS0vQId9x7LE0PaaIV/zll1+O1NTUaA+DiGKEmBFyrRESM0Ji4bCSSFNjPWSEjJwaQ6JOIz1vQqkTstkExRdLA8Awx/TY0RiaHgvpWX3bbbfh008/DcsAPv30UyxcuBCFhYVQqVR4//33va5TWVmJsrIyJCQkYNq0adi2bVtY7puIlEnaa8wtI2T/XqPAQCipl+7SzAjZi8ql7tIdwU/rNHWaYLEJUKmc23UokTg9dqRW5hmhlpYWzJkzB8OGDcPTTz+Ns2fPhjyAjo4OjB8/HpWVlT5///bbb2PZsmVYvnw5vvzyS4wfPx5z585FXV2ddJ2KigqMGTPG6+vcuXNBjcVoNKK1tdXti4jij1Qs7dJHSMkZoRRHL6Eel8+LfYQUXCMEuKwcC6FgurHdJN2G0rqXuxJXjh2JoakxbSh/9P7776O+vh5vvPEGXnvtNSxfvhxz5szBXXfdhUWLFkGn0wV8W/Pnz8f8+fN7/P3KlStx991344477gAAvPDCC/jwww/x8ssv4+GHHwYA7N69O5TD8PLMM8/gySefDMttEVHscu0sLQgCVCoVLI4+QhoFF0u397hqzLHXmIKnxgCX/cZCmBpr7LBPi2UmBf75GI+cU2OxEwiF/KweMGAAli1bhq+++gpbt27F0KFDccstt6CwsBAPPPAAjhw50ufBmUwm7Ny5E3PmzHEOWK3GnDlzsGXLlj7fvqdHHnkELS0t0tfp06fDfh9EFH1iRkgQnI0UlZwREmuEOtlZ2q++7DcmTqeJy/CVaugAeyB0trmrx8C7v/U5vD9//jzWrVuHdevWQaPRYMGCBdi7dy/Ky8vxm9/8pk+33dDQAKvViry8PLfL8/LyUFNTE/DtzJkzB9/4xjfw0UcfYeDAgT0GUQaDAWlpaW5fRBR/XHdRF5fQc9WY7z5CNpsg7Ziu5M7SAJCV5FxCH6wmMSOUrOyMUGayXqqROhYjWaGQpsbMZjM++OADvPLKK1i7di3GjRuHH/7wh7jpppuk4OEf//gH7rzzTjzwwANhHXAo1q9fH+0hEFEMca3RYEYISNb3HAi5FpQzI2TPCDWGFAjZM0JZCs8IAcCQAcloaDeiuqED44szoj2c0AKhgoIC2Gw23Hjjjdi2bRsqKiq8rjNr1ixkZGT0aXA5OTnQaDSora11u7y2thb5+fl9um0iUi6NWgWNWgWrTZA6Sit61ZhBXD7vPTXm2mLAoPCMkFgs3RpCM0AxI5TtCKaUrCw7GVurm3CisSPaQwEQ4tTYb37zG5w7dw6VlZU+gyAAyMjIQHV1dV/GBr1ej0mTJmHDhg3SZTabDRs2bMD06dP7dNtEpGxiB2lxjzElZ4QSHZmebh+NAsWl81q1CloFr3YCgPRE+7RWKF2RxSxSJgMhlOUkAwBONMg4ENq4cSPMZu8nQkdHB+68886gbqu9vR27d++WVn5VV1dj9+7dOHXqFABg2bJlWLVqFV577TUcOHAA3/3ud9HR0SGtIiMiCoU4PebMCIk1QsoLhBL8BUIslJakJdonUUIJhMQ9ypgRAsqykwAAJxo7ozwSu5ACoddeew1dXV1el3d1dQW9lcWOHTswYcIETJgwAYA98JkwYQKeeOIJAMCSJUuwYsUKPPHEE6ioqMDu3buxZs0arwLqcKqsrER5eTmmTJkSsfsgoujSS4GQR42QApfPOzNCNq/fGaVmisrOBgF9zAi1MyMkkjJCMTI1FlSNUGtrKwRBgCAIaGtrQ0KCc78Uq9WKjz76CLm5uUEN4PLLL+91A7v77rsP9913X1C32xdLly7F0qVL0draivT09H67XyLqP14ZIatyV42J/YF87aElTh3qFT4tBvQtEGJGyKnUkRFq7jSjudOEjKToPiZBBUIZGRlQqVRQqVQYPny41+9VKhUbEhKRLOi0jhohq3uNkEal5IyQn0BI4YXSgH3TUABo6zbDZhOgDnAaVRAEack9M0L2LV3y0gyobTXiRGMnKuQUCG3cuBGCIGD27Nn4+9//jqysLOl3er0epaWlKCwsDPsgiYjCTcoIWbhqLMHP1BgDIac0R0bIJgDtJosUGPWmzWiRpmCZEbIry062B0INHaiI8hL6oAKhmTNnArAXNJeUlEClwP85EVF86LFGSNGBkI+MkCNjpuT9sUQJjh3ojRYbWjrNAQdC4pYcSXoNi84dYmkJfcCB0J49ezBmzBio1Wq0tLRg7969PV533LhxYRkcEVGk9LhqTNHF0pwa601aog71bUa0dJlRHODfSEvnozwFFEtiaQl9wIFQRUUFampqkJubi4qKCqhUKp9FziqVClar7/1qiIhihdRHyMo+QuKKMIujwaSvztvMCNmlOwKh1u7AC6bFjFB2CgMh0aAce8F0dQwsoQ84EKqursaAAQOk7+NZZWUlKisrGdARxTHPjJCVfYQA2LNCrkGPyfE+qPSu0iJx5Vgw3aWZEfJWmm3PCJ2U09RYaWmp9H1eXp7b0vl4w+XzRPFPnOrxDIS0Slw+r1VDpQIEwV4wnery9s7l8+5CWUIvZoSyWCgtKXMEQs2dZlzoMEV1NV1Iz+zc3FzcdtttWLduHWw271UGRESxzrlqzB4AKbmztEqlkjI+nnVCJk6NuUlLCL67tHhdMYgiIFGvQVFGIgDgaH10d6EPubN0Z2cnFi1ahKKiIvzwhz/Ejh07wj02IqKIYY2Qu54Kplks7S6UjJBYT5TGQMjNkNwUAMDROhkGQosXL8a7776L2tpaPP3006iqqsJFF12E4cOH4+c//3m4x0hEFHZihsPEPkIAeu4lZObyeTepjiXz7d2WgP+mtct+XTGbRHZDB8g4EBKlpqbijjvuwNq1a7Fnzx4kJyezszQRyYK+h2JpJe41BjgzQp7bbDAj5C7VEcy0BRMIdXNqzJehcs4Iibq7u/HOO+/g2muvxcSJE9HU1IQf/ehH4RobEVHE9NRHSKlTY4Zepsa4aswuRQyEjMFkhDg15kusBEIh5en+85//4M0338T7778PrVaL66+/HmvXrsVll10W7vEREUWEc68xR2dpBW+6Cjh7CXlmhJxTY8oMED2lGOwfm0FNjXWLU2MMhFyJgdC5li50maxI1Een63ZIgdDixYtx9dVX4/XXX8eCBQug08XXyWUfIaL4Jy6TtzAjBKDnYmkjp8bciFNj7SFlhFgj5CorWY9/f/9SDMpJjloQBIQYCNXW1iI1NTXcY4kZ7CNEFP/EDIdYG6TkhoqAs1ja6FEsLa6q02u4RxbgLJZuC6KztLRqjBkhL2OKov8ZG3Ag1NrairS0NACAIAhobW3t8bri9YiIYpU4BSZuISGuGlN6RshrasyRERKnEpVOmhoLMCNktFillXisEYpNAQdCmZmZOH/+PHJzc5GRkeFz53lBELjXGBHJgpgRsthssNkEOBJCis0IGXQ9NVRkZ2lXYiAU6Kox8XoqFZBq4NRYLAr4rPz3v/9FVlYWAGDjxo0RGxARUX/QumSErC4bSCtxiw3AOTXWU7E0a4TsxOkto8UGk8XW6+Mi1gelGLRQKzTIjnUBB0IzZ86Uvh80aBCKi4u9skKCIOD06dPhGx0RUYRopRohm1QfBAAaha6OSuyhoSL3GnOXbHDWSrUbLcjS+t8jS+xAzfqg2BXSM3vQoEGor6/3urypqQmDBg3q86CIiCJNrAWyWAVpxZjr5UqT0MPUGFeNudNq1FLQGMgSemnpPOuDYlZIz2yxFshTe3t7XO9KT0TxQys2VLQJUg8hQLk1Qglax6oxS099hBgIiZxNFXtfOSYtnef2GjErqDOzbNkyAPadih9//HEkJSVJv7Nardi6dSsqKirCOkAiokjQuUyNiSvGAEDj4z95SqBzZHzEDJCIW2x4S03Qor7NGGBGiF2lY11QgdCuXbsA2DNCe/fuhV7vnBvV6/UYP348HnroofCOMArYUJEo/rkVSzumxlQqKLagVe+xCa1IbC/AQMgpNYiVY84NVxkIxaqgAiFxtdgdd9yB3/72t3HbL4gNFYnin7NGyKb4rtKAM9DxDIRYLO0tJYju0s6MEKfGYlVIz+znn38eFov3E6Cpqclvo0UiolihlfoICYrvKg04AyGxJkhk4vJ5L1IvoUACIa4ai3khPbNvuOEGrF692uvyd955BzfccEOfB0VEFGlisbTrqjGl9hACnLvLmzwDIQuLpT2lGOxBDVeNxYeQntlbt27FrFmzvC6//PLLsXXr1j4Piogo0nRqZ2dpZoR6rhFiZ2lvYi+hLlMwGSFOjcWqkJ7ZRqPR59SY2WxGV1dXnwdFRBRpYtDjWizNGiE/NUKcGpMk6e1BTYep9wU1XDUW+0J6Zk+dOhV/+ctfvC5/4YUXMGnSpD4Piogo0sSpHqtNkJbPKzoj1MPyeTMzQl6S9faMUGcQGaFUZoRiVkhn5qmnnsKcOXPw1Vdf4YorrgAAbNiwAdu3b8fatWvDOkAiokgQi6XNVhszQnCZGuuhRogZIackR7F0h7H3jFCnI2uUwg1XY1ZIz+xLLrkEW7ZswcCBA/HOO+/gX//6F4YOHYo9e/ZgxowZ4R4jEVHYiYXRFpuzWFqp+4wBzoaKrlNjNpfHRqfgx8ZTMBkhcYl9MgOhmBXymamoqMCbb74ZzrEQEfUb56arrjVCys16+CqWds0OMSPkFGhGSBAEdDgCIWaEYlfIz+xjx47hsccew0033YS6ujoAwMcff4z9+/eHbXBERJGiVTunxixWrhoz+OgjxEDIt0AzQt1mG8T9fJkRil0hPbM/+eQTjB07Flu3bsXf//53tLe3AwC++uorLF++PKwDjIbKykqUl5djypQp0R4KEUWIzqWPEGuEfK8aM7t8r1NwtsxToKvGXDtPJzl2rKfYE9Iz++GHH8ZTTz2FdevWue03Nnv2bHzxxRdhG1y0LF26FFVVVdi+fXu0h0JEEeLsLG3jqjG4BEIuWSCLS38lpe7B5ovYR6izl87S4rRYkl7Dxy+GhRQI7d27F4sXL/a6PDc3Fw0NDX0eFBFRpEl7jdmYEQKcNUJmqwCb4/EQp8mU/Lj4EmhGqMPEQmk5CCkQysjIwPnz570u37VrF4qKivo8KCKiSJNWjblsscGMkJ2YFRJrp7i9hjspI9RLjZBYTM1C6dgW8l5jP/nJT1BTUwOVSgWbzYbNmzfjoYcewq233hruMRIRhZ3GxxYbil415isQckwZarl03o2YETJbBa9O3K46pKXzrA+KZSG96p9++mmMHDkSxcXFaG9vR3l5OS677DJcfPHFeOyxx8I9RiKisBM/3G02MCME987R4oe7hVOGPiXpnYGNv6yQ1ENIz4xQLAvp7Oj1eqxatQqPP/449u3bh/b2dkyYMAHDhg0L9/iIiCLCPSPEzIdKpYJOo3LLcohTY0rOlPmi06ih16phstjQYbIiI8n39dhDSB76dHZKSkpQUlISrrEQEfUbjcqRERLsUxyAsjNCgD0rZLZapUBIKpZWcIDYk2S9BiaLze/KMTEjlMRAKKYFfHaWLVsW8I2uXLkypMEQEfUX1yyH+MGv9CkgvVaNDpNVCoCc22swI+QpSa/FhU6z35Vjzn3GWCMUywIOhHbt2hXQ9VQqZb+REJE8uM72iDuuKz4j5LEDPZfP9yyQXkIdrBGShYDPzm9/+1uMHj0aGg0jWyKSP9eMkNFi/587AyH3popWFpH3KJBeQtxwVR4CzndOmDABTU1NAIDBgwejsbExYoMiIoo01w93s0X8wFf2FJDnxqvsI9SzpAD2G2OxtDwE/OzOyMjA8ePHAQAnTpyAzdZz7wQioljnGgiZrPb/1Ss98aHX2j/cWSzdu0TH3mHdZn8ZIfvvmBGKbQGfna9//euYOXMmCgoKoFKpMHny5B6nycSASa4qKytRWVkJq9V/+3Qiki/XoEdaNabwGkfPjVelYmmFZ8p8SXBkhLr8FkuzoaIcBBwI/eUvf8F1112Ho0eP4v7778fdd9+N1NTUSI4tapYuXYqlS5eitbUV6enp0R4OEUWASqWCRq2C1ebsm6P0xR4GjXuNEBtN9kzMCHWZe54d6XJkixK583xMCypfN2/ePADAzp078YMf/CBuAyEiUgYpELKKq8aiPKAo02ntAY+zRohTYz1xBkI9Z4TEbFGinoFQLAvpZf/KK68gNTUVR48exX/+8x90dXUBAARBCOvgiIgiSVwWbubyeQAslg6GGNz4qxESg6QkBkIxLaRnd1NTE6644goMHz4cCxYskHaiv+uuu/Dggw+GdYBERJEi1gSJRcFKnxrzXD5vtrGPUE8SdIHUCFndrkuxKaRA6Ic//CF0Oh1OnTqFpCTnJitLlizBmjVrwjY4IqJI0mjEQIjF0oD3qjFmhHoWzNRYEhsqxrSQzs7atWvxn//8BwMHDnS7fNiwYTh58mRYBkZEFGlipkPMgCg98aFnsXTAEnT2x6qnqTFBEDg1JhMhhfkdHR1umSBRU1MTDAZDnwdFRNQf1Cr34mC1wj/wvZbPs1i6R731ETJZbVJnbk6NxbaQAqEZM2bg9ddfl35WqVSw2Wx47rnnMGvWrLANjogokqRiaXHVmMKnxnSOgMfiuekq+wh5EYule5oa6zY5l9UzIxTbQpoa+9WvfoXZs2djx44dMJlM+PGPf4z9+/ejqakJmzdvDvcYiYgiQu0RCCk9IyTuv2Z2BEDsLN2z3oqlO832ZopatYo1VjEu6EDIbDbj/vvvx7/+9S+sW7cOqampaG9vx3XXXYelS5eioKAgEuMkIgo7Z42Q/YNfzYwQAJeMEIule9RbQ0X2EJKPoAMhnU6HPXv2IDMzE48++mgkxkRE1C80Hn2EFJ4QkjI/4io6Fkv3rLc+QuLSeXaVjn0hhfnf+ta38NJLL4V7LERE/UrjsWpM6R/4GsfUmMXGYuneJPYyNdbNFWOyEVKNkMViwcsvv4z169dj0qRJSE5Odvv9ypUrwzI4IqJIEj/4pRohpU+NOQJBcbUTi6V7ltBLHyE2U5SPkAKhffv2YeLEiQCAw4cPu/1O6Z1ZiUg+xNIX59SYst+/tBoxMGSxdG966yPEHkLyEVIgtHHjxnCPg4io34kZIbFYWuk1wSyWDpw4NWa02GCzCV4rDtlVWj747CYixZJWjVnsH1pKz2hLfZVsLJbujetqsG6Ld1aIU2PywUCIiBTLuekqP/AB59SYs6EiN13tSYLWGeD4Kpjm1Jh8MBDyobKyEuXl5ZgyZUq0h0JEEaRhZ2k3zqkxwe1fTo15U6tVMDi2JPFVMN1lsjdU5PL52Mdntw9Lly5FVVUVtm/fHu2hEFEEiYGQOAWk8DjIuYqOnaUD4q+XkBgcsaFi7GMgRESK5TkVpvSpMTEjZHVMiYnL6Dk15puzl5B3d+lOdpaWDQZCRKRYnh/wil8+r/ZYPi8FQvyo8MVfLyGpoSKnxmIen91EpFieS54Vv+mq1/J5To35I9YIGX2sGuviqjHZYCBERIrlWRzNYmn3mikWS/tnEHsJ+dh4tdtxmdh4kWIXzxARKZZnTZDCE0I+psa4fN4fZ0bIOxASs0QGZoRiHgMhIlIsTo2585wak4qlOTXmk7+pMTEjJF6HYhfPEBEplufnO4ul7R8JVmn5PIul/TFondtseBKDI9YIxT4+u4lIsTwzQEovhREzP+KUGIul/TM46n+MPleNMSMkFzxDRKRYnsXRSs8I6dTiFhvue42xWNq3BGaE4gKf3USkWN7F0soOhKSMkNWjs7TCa6d6ImWEfARCzAjJB88QESmW99SYsj/wncvnPTtL86PCF3/F0mJwxIxQ7OOzm4gUi1Nj7rQeU2NSsTRrhHySiqV99BES64aYEYp9PENEpFjsI+TOOTXmKJZ2ZIZ0DIR88t9HiBkhuWAgRESK5ZkBUvrUmOfyeQuXz/sl1gh57j5vtQkwWVkjJBc8Q0SkWJ6LoRQ/NeayxYYgCFJGiFNjvvXUR8jk8jMzQrGPgRARKRY7S7vTuWR+LDaBGaFe9FQs7ZohYkYo9vEMEZFicdNVd66ZH4tVkPoIMSPkW081Qt2OwEirVkHLHkwxj2eIiBSLxdLuXAMe1+kdpQeIPelp93kjewjJCs8SESmWZ00Qp8acHwndLtM9GmaEfOpxaoxdpWWFgRARKRY7S7tTq1UQHwLXOhd2lvatp6kxZoTkhWeJiBTLMxBiOYczK+T64a70ALEnPa0aE4NIZoTkgS97IlIsr6kxfuBLdUKudS/MCPmWoPM9NSYGRnpmhGSBZ8mHyspKlJeXY8qUKdEeChFFEPsIeRODHrcaIQZCPvW0xQYzQvLCQMiHpUuXoqqqCtu3b4/2UIgogthZ2pvOER2KH+5qFaBigOhTT7vPiz+zRkgeeJaISLE8Ax9+3junxsSsBpsp9qy3horMCMkDn+FEpFjexdKMhMTAR5waYxzUM9diaUEQpMuZEZIXniUiUizPKR82DvQulmZGqGfi1JggQNpkFWBGSG74DCcixfIMfFgL4yyWFrMazJL1zDXj41onxIyQvPAsEZFiea4a44e+s1hazGrwMemZ3uUJ5LpyzMiMkKwwECIixfLuIxSlgcQQaWqMGaFeqVQqnwXTzAjJC88SESkWt9jwJhVLm507qFPPfG2zwYaK8sKzRESKxVVj3nQa94aKDA79E4Mds0uxtPi9jnu2yALPEhEpFrfY8CZmhKRVY9x53i+xTsjkkhEyMSMkKzxLRKRYXlNjfEdkjVCQdH4yQnpmhGSBZ4mIFIsZIW/S8nlx1RgfE7/EYMe1RkjsKcSMkDzwLBGRYnnVCPFDH1px+byFy+cDIQY7nBqTL54lIlIsr93n+aEvZYTED3PWCPknFkSbrc4tNkyO71ksLQ88S0SkWOwj5E3j2VmaWTK/fGeErG6/o9jGs0REisXl8948M0J8TPzTa3wVSwtuv6PYxrNERIrlme1gsTSgUbsX/3LTVf/81wjx+SQHfIYTkWJ51gQxEPLedJVxkH9iA0rX3eelQEjDvcbkgE9xIlIsTo1504gf7BZxiw1+TPij19qDHdeMkLOzNJ9PcsBnOBEpFoulvXlmhBgc+id1lrZyrzG54lkiIsVy/ZBXqey7iSud16oxBkJ+iXVAZh8ZIQZC8sCzRESK5VoszWXidlw1FhxfGSETt9iQFZ4lIlIs1/IXFkrbOVeNiTVCfFz80fkKhDg1Jis8S0SkWK7ZDtYE23mvGmMg5I+v5fPOYmk+qeSAZ4mIFMt1OowZITsxOBQcO0YwI+SfZyBkswnOhorMCMkCzxIRKZZrtoM1QnaegQ9rhPzTeXSWNtucmSEGQvLAs0REiuWWEeIHPgBnHyHpZwaIfhk8MkKuU2QslpYHniUiUiy3GiF+3gPwzghx93n/PHefZyAkPzxLRKRYblNjjIQAOFeNOX/m4+KPOP0lFpeLAZFWrWKWUSYYCBGRYrlO+7CZop1XjRAfF788a4TEjBBXjMkHzxQRKZZr8oMf+Hbe+6/xY8Ifz1VjJnaVlh2eKSJSLPfl81EcSAxhjVBwPDtLMyMkPzxTRKRYrH/x5vmYsL+Sf9JeY1b3jJCBGSHZ4JkiIsVyLWYVojiOWOKZAWJDRf/0Gg0AZyaIG67KD88UESkW64K8edYEceWTfzpH4Og9NcbHTS7iPhA6ffo0Lr/8cpSXl2PcuHF49913oz0kIooRnBrz5lUjxMfILxZLy5822gOINK1Wi+effx4VFRWoqanBpEmTsGDBAiQnJ0d7aEQUZa4JIYFzYwB8rRpjIOSPGPB4Lp9nM0X5iPtAqKCgAAUFBQCA/Px85OTkoKmpiYEQEXFqzAfuNRYcadWYhavG5CrqZ+rTTz/FwoULUVhYCJVKhffff9/rOpWVlSgrK0NCQgKmTZuGbdu2hXRfO3fuhNVqRXFxcR9HTUTxQONWLM2UEOAd+HBqzD/PqTEWS8tP1DNCHR0dGD9+PO68805cd911Xr9/++23sWzZMrzwwguYNm0ann/+ecydOxeHDh1Cbm4uAKCiogIWi8Xrb9euXYvCwkIAQFNTE2699VasWrWqx7EYjUYYjUbp59bW1r4eHhHFMHaT9qblFhtB6WmvMU6NyUfUA6H58+dj/vz5Pf5+5cqVuPvuu3HHHXcAAF544QV8+OGHePnll/Hwww8DAHbv3u33PoxGI6699lo8/PDDuPjii3u83jPPPIMnn3wy+IMgIooTrBEKjpQRstogCAIzQjIU02fKZDJh586dmDNnjnSZWq3GnDlzsGXLloBuQxAE3H777Zg9ezZuueUWv9d95JFH0NLSIn2dPn26T+MnIvlgsbSdZx8hBkL+udYCma2CtPkqAyH5iOkz1dDQAKvViry8PLfL8/LyUFNTE9BtbN68GW+//Tbef/99VFRUoKKiAnv37vV5XYPBgLS0NLcvIiIlYY1QcFw7SJusNmn5PIul5SPqU2ORdumll8Jms0V7GEQU45gQsvNcScctNvxzywhZbDBb7M8kZoTkI6bPVE5ODjQaDWpra90ur62tRX5+fpRGRUTxiMWtdl4ZIXZI9kujVkkb9pqtNpisVgB8PslJTJ8pvV6PSZMmYcOGDdJlNpsNGzZswPTp06M4MiKKN/zAt/OuEYrpj4mYIK0cswnS6jFmhOQj6lNj7e3tOHr0qPRzdXU1du/ejaysLJSUlGDZsmW47bbbMHnyZEydOhXPP/88Ojo6pFVkREThwJoOO6+Gipwa65Veo4bRYoPZYuPyeRmKeiC0Y8cOzJo1S/p52bJlAIDbbrsNr776KpYsWYL6+no88cQTqKmpQUVFBdasWeNVQB1OlZWVqKyshNWR4iSi+MeiYDvPDBBXjfVOp1UDRnFqjMXSchP1QOjyyy+H0Mu61fvuuw/33XdfP40IWLp0KZYuXYrW1lakp6f32/0SUfTwg8uOm64Gz3UHehOXz8sOzxQREVgjJGJDxeC5dpdmICQ/PFNERGBGSMRNV4OnlwIhm7OzNANr2eArn4gIzukNpWNDxeBJGSELp8bkiGeKiAjem40qlefjoGYg1Cud1qVGiMXSssMzRUQEfnCJNBpmhILFGiF545nyobKyEuXl5ZgyZUq0h0JE/YRTY3asEQqezqVGyGRlHyG54ZnyYenSpaiqqsL27dujPRQi6idafnAB4KqxUPgqltYxIyQbPFNERGBGSOTZSZqBUO+kPkIuxdIGBtaywTNFRARgbBGbpwL24mjX2IdTPL1zrRES9xpjRkg+ot5Zmogomv79/Uux+WgDbrmoNNpDiRlatVqqdeGUYe/EoMds5V5jcsRAiIgUbUxROsYwG+RGo1YBjq0WuWqsd641QkauGpMdnikiInLjGvywrUDvXPcaM7OPkOzwTBERkRu1WyDEjFBvnJ2lnX2EDMwIyQbPlA/sI0RESiYIgvQ9a4R657OPEAMh2eCZ8oF9hIhIyQSX75kR6p0Y9HSbrbDaHKvGGEDKBs8UERG5cUkI8QM9AGJNVYfJKl3GjJB88EwREZEbt6kxrhrrlRgsdposLpfxcZMLBkJEROTGdWpMpeIHem/E7E+H0RkIsY+QfPBMERGRG9epMeqdmP1pdwRCeo2aAaSMMBAiIiI3NkZCQXFOjVkdPzMIkhMGQkRE5IZhUHDEQEjKCLFQWlZ4toiIyI3nDvTkn1gP1GkUM0L8aJUTni0f2FCRiJQsQcePhmDotI7l88wIyRLPlg9sqEhESpao00R7CLIiTY2ZGAjJEc8WERG5SdAzEAqGGAiJNeZcOi8vPFtEROQmQctAKBiegQ8zQvLCs0VERG4SmREKimdxNIul5YVni4iI3LBGKDiefYM4NSYvPFtEROQmN9UQ7SHIik7LqTE500Z7AEREFFsenj8Sxxo6cPPUkmgPRRY8M0CcGpMXBkJEROQmNy0B/1x6SbSHIRuegY+BGSFZ4dkiIiLqA88aIe41Ji8MhIiIiPrAsyaINULywrPlA7fYICKiQDEQkjeeLR+4xQYREQXK4NGAksXS8sKzRURE1AeexdHMCMkLzxYREVEfeAVCzAjJCs8WERFRH6hUKrcsEAMheeHZIiIi6iODS/DDqTF54dkiIiLqI4PO+XHKYml54dkiIiLqI9eVY8wIyQvPFhERUR8ZWCMkWzxbREREfeRWLM2MkKzwbBEREfWRgYGQbPFsERER9ZFrjRCLpeWFZ4uIiKiPXFeNpSZoozgSChYDIR+46SoREQXDdWqMgZC8MBDygZuuEhFRMFITdNL3aS7fU+xjIERERNRHaS5ZoLREBkJywkCIiIiojww6Z7F0ioFTY3LCQIiIiKiPXJsoatSqKI6EgsVAiIiIqI/SEpkFkisGQkRERH10w9QSjMxPxfcuHxLtoVCQGMISERH1UVqCDmt+eFm0h0EhYEaIiIiIFIuBEBERESkWAyEiIiJSLAZCREREpFgMhIiIiEixGAgRERGRYjEQIiIiIsViIERERESKxUCIiIiIFIuBEBERESkWAyEfKisrUV5ejilTpkR7KERERBRBKkEQhGgPIla1trYiPT0dLS0tSEtLi/ZwiIiIKADBfH4zI0RERESKxUCIiIiIFEsb7QHEMnHWsLW1NcojISIiokCJn9uBVP8wEPKjra0NAFBcXBzlkRAREVGw2trakJ6e7vc6LJb2w2az4dy5c0hNTYVKpfJ73dbWVhQXF+P06dNxXVjN44wvPM74oYRjBHic8SZSxykIAtra2lBYWAi12n8VEDNCfqjVagwcODCov0lLS4vrJ62IxxlfeJzxQwnHCPA4400kjrO3TJCIxdJERESkWAyEiIiISLEYCIWJwWDA8uXLYTAYoj2UiOJxxhceZ/xQwjECPM54EwvHyWJpIiIiUixmhIiIiEixGAgRERGRYjEQIiIiIsViIERERESKxUDIj8rKSpSVlSEhIQHTpk3Dtm3b/F7/3XffxciRI5GQkICxY8fio48+cvu9IAh44oknUFBQgMTERMyZMwdHjhyJ5CEEJNzHefvtt0OlUrl9zZs3L5KHEJBgjnP//v34+te/jrKyMqhUKjz//PN9vs3+EO5j/NnPfuZ1LkeOHBnBIwhMMMe5atUqzJgxA5mZmcjMzMScOXO8rh8Pr81AjjMeXpvvvfceJk+ejIyMDCQnJ6OiogJvvPGG23Xi4XwGcpyxeD5DfU9cvXo1VCoVrr32WrfL++VcCuTT6tWrBb1eL7z88svC/v37hbvvvlvIyMgQamtrfV5/8+bNgkajEZ577jmhqqpKeOyxxwSdTifs3btXus6zzz4rpKenC++//77w1VdfCddcc40waNAgoaurq78Oy0skjvO2224T5s2bJ5w/f176ampq6q9D8inY49y2bZvw0EMPCW+99ZaQn58v/OY3v+nzbUZaJI5x+fLlwujRo93OZX19fYSPxL9gj/Omm24SKisrhV27dgkHDhwQbr/9diE9PV04c+aMdJ14eG0Gcpzx8NrcuHGj8N577wlVVVXC0aNHheeff17QaDTCmjVrpOvEw/kM5Dhj7XyG+p5YXV0tFBUVCTNmzBAWLVrk9rv+OJcMhHowdepUYenSpdLPVqtVKCwsFJ555hmf1//mN78pXHXVVW6XTZs2TbjnnnsEQRAEm80m5OfnC7/61a+k3zc3NwsGg0F46623InAEgQn3cQqC/cXp+WSOtmCP01VpaanPIKEvtxkJkTjG5cuXC+PHjw/jKPuur4+7xWIRUlNThddee00QhPh5bXryPE5BiL/XpmjChAnCY489JghC/J5PQXA/TkGIvfMZyjFaLBbh4osvFl588UWv4+mvc8mpMR9MJhN27tyJOXPmSJep1WrMmTMHW7Zs8fk3W7Zscbs+AMydO1e6fnV1NWpqatyuk56ejmnTpvV4m5EWieMUbdq0Cbm5uRgxYgS++93vorGxMfwHEKBQjjMat9kXkRzPkSNHUFhYiMGDB+Pmm2/GqVOn+jrckIXjODs7O2E2m5GVlQUgfl6bnjyPUxRPr01BELBhwwYcOnQIl112GYD4PJ++jlMUK+cz1GP8+c9/jtzcXNx1111ev+uvc8lNV31oaGiA1WpFXl6e2+V5eXk4ePCgz7+pqanxef2amhrp9+JlPV2nv0XiOAFg3rx5uO666zBo0CAcO3YMP/3pTzF//nxs2bIFGo0m/AfSi1COMxq32ReRGs+0adPw6quvYsSIETh//jyefPJJzJgxA/v27UNqampfhx20cBznT37yExQWFkpvrvHy2vTkeZxA/Lw2W1paUFRUBKPRCI1Ggz/+8Y+48sorAcTX+fR3nEBsnc9QjvF///sfXnrpJezevdvn7/vrXDIQorC74YYbpO/Hjh2LcePGYciQIdi0aROuuOKKKI6MgjV//nzp+3HjxmHatGkoLS3FO++84/N/cLHu2WefxerVq7Fp0yYkJCREezgR09NxxstrMzU1Fbt370Z7ezs2bNiAZcuWYfDgwbj88sujPbSw6u045Xw+29racMstt2DVqlXIycmJ6lg4NeZDTk4ONBoNamtr3S6vra1Ffn6+z7/Jz8/3e33x32BuM9IicZy+DB48GDk5OTh69GjfBx2CUI4zGrfZF/01noyMDAwfPlyW53LFihV49tlnsXbtWowbN066PF5em6KejtMXub421Wo1hg4dioqKCjz44IO4/vrr8cwzzwCIr/Pp7zh9ieb5DPYYjx07hhMnTmDhwoXQarXQarV4/fXX8cEHH0Cr1eLYsWP9di4ZCPmg1+sxadIkbNiwQbrMZrNhw4YNmD59us+/mT59utv1AWDdunXS9QcNGoT8/Hy367S2tmLr1q093makReI4fTlz5gwaGxtRUFAQnoEHKZTjjMZt9kV/jae9vR3Hjh2T3bl87rnn8Itf/AJr1qzB5MmT3X4XL69NwP9x+hIvr02bzQaj0Qggvs6nJ9fj9CWa5zPYYxw5ciT27t2L3bt3S1/XXHMNZs2ahd27d6O4uLj/zmXYyq7jzOrVqwWDwSC8+uqrQlVVlfCd73xHyMjIEGpqagRBEIRbbrlFePjhh6Xrb968WdBqtcKKFSuEAwcOCMuXL/e5fD4jI0P45z//KezZs0dYtGhRTCzpDOdxtrW1CQ899JCwZcsWobq6Wli/fr0wceJEYdiwYUJ3d3dUjlEQgj9Oo9Eo7Nq1S9i1a5dQUFAgPPTQQ8KuXbuEI0eOBHyb/S0Sx/jggw8KmzZtEqqrq4XNmzcLc+bMEXJycoS6urp+Pz5RsMf57LPPCnq9Xvjb3/7mtsy4ra3N7Tpyf232dpzx8tp8+umnhbVr1wrHjh0TqqqqhBUrVgharVZYtWqVdJ14OJ+9HWcsns9gj9GTr1Vw/XEuGQj58fvf/14oKSkR9Hq9MHXqVOGLL76Qfjdz5kzhtttuc7v+O++8IwwfPlzQ6/XC6NGjhQ8//NDt9zabTXj88ceFvLw8wWAwCFdccYVw6NCh/jgUv8J5nJ2dncLXvvY1YcCAAYJOpxNKS0uFu+++O2rBgatgjrO6uloA4PU1c+bMgG8zGsJ9jEuWLBEKCgoEvV4vFBUVCUuWLBGOHj3aj0fkWzDHWVpa6vM4ly9fLl0nHl6bvR1nvLw2H330UWHo0KFCQkKCkJmZKUyfPl1YvXq12+3Fw/ns7Thj9XwG+3niylcg1B/nUiUIghC+/BIRERGRfLBGiIiIiBSLgRAREREpFgMhIiIiUiwGQkRERKRYDISIiIhIsRgIERERkWIxECIiIiLFYiBEREREisVAiIhiys9+9jNUVFT0+XYaGxuRm5uLEydO9Pm2Yl1VVRUGDhyIjo6OaA+FSHYYCBFRXPrlL3+JRYsWoayszO3yv//975g9ezYyMzORmJiIESNG4M4778SuXbuiM9AwKC8vx0UXXYSVK1dGeyhEssNAiIjiTmdnJ1566SXcddddbpf/5Cc/wZIlS1BRUYEPPvgAhw4dwptvvonBgwfjkUceidJow+OOO+7An/70J1gslmgPhUhWGAgRUUDWrFmDSy+9FBkZGcjOzsbVV1+NY8eOSb8/ceIEVCoV3nvvPcyaNQtJSUkYP348tmzZ4nY7q1atQnFxMZKSkrB48WKsXLkSGRkZfu/7xRdfxKhRo5CQkICRI0fij3/8o9/rf/TRRzAYDLjooouky7744gs899xzWLlyJVauXIkZM2agpKQEkyZNwmOPPYaPP/5Yuu6xY8ewaNEi5OXlISUlBVOmTMH69evd7qOsrAxPPfUUbr31VqSkpKC0tBQffPAB6uvrsWjRIqSkpGDcuHHYsWOH9DevvvoqMjIy8O9//xsjRoxAUlISrr/+enR2duK1115DWVkZMjMzcf/998NqtUp/98Ybb2Dy5MlITU1Ffn4+brrpJtTV1bmN58orr0RTUxM++eQTv48NEbljIEREAeno6MCyZcuwY8cObNiwAWq1GosXL4bNZnO73qOPPoqHHnoIu3fvxvDhw3HjjTdKWYrNmzfj3nvvxQ9+8APs3r0bV155JX75y1/6vd+//vWveOKJJ/DLX/4SBw4cwNNPP43HH38cr732Wo9/89lnn2HSpElul7311ltISUnB9773PZ9/o1KppO/b29uxYMECbNiwAbt27cK8efOwcOFCnDp1yu1vfvOb3+CSSy7Brl27cNVVV+GWW27Brbfeim9961v48ssvMWTIENx6661w3du6s7MTv/vd77B69WqsWbMGmzZtwuLFi/HRRx/ho48+whtvvIE///nP+Nvf/ib9jdlsxi9+8Qt89dVXeP/993HixAncfvvtbmPR6/WoqKjAZ5995vfxJCIPYd3LnogUo76+XgAg7N27VxAEQaiurhYACC+++KJ0nf379wsAhAMHDgiCIAhLliwRrrrqKrfbufnmm4X09HTp5+XLlwvjx4+Xfh4yZIjw5ptvuv3NL37xC2H69Ok9jm3RokXCnXfe6XbZvHnzhHHjxrld9utf/1pITk6Wvpqbm3u8zdGjRwu///3vpZ9LS0uFb33rW9LP58+fFwAIjz/+uHTZli1bBADC+fPnBUEQhFdeeUUAIBw9elS6zj333CMkJSUJbW1t0mVz584V7rnnnh7Hsn37dgGA298IgiAsXrxYuP3223v8OyLyxowQEQXkyJEjuPHGGzF48GCkpaVJRcieWZJx48ZJ3xcUFACANI1z6NAhTJ061e36nj+76ujowLFjx3DXXXchJSVF+nrqqafcpuU8dXV1ISEhoddjuvPOO7F79278+c9/RkdHh5S5aW9vx0MPPYRRo0YhIyMDKSkpOHDggN9jzcvLAwCMHTvW6zLXaaykpCQMGTLE7TplZWVISUlxu8z1b3bu3ImFCxeipKQEqampmDlzJgDvxz4xMRGdnZ29HjcROWmjPQAikoeFCxeitLQUq1atQmFhIWw2G8aMGQOTyeR2PZ1OJ30vTjd5Tp8Fqr29HYC9rmjatGluv9NoND3+XU5ODi5cuOB22bBhw/C///0PZrNZGmNGRgYyMjJw5swZt+s+9NBDWLduHVasWIGhQ4ciMTER119/fUDH2tvxu/5evI6vy8S/6ejowNy5czF37lz89a9/xYABA3Dq1CnMnTvXazxNTU1uQRYR9Y4ZISLqVWNjIw4dOoTHHnsMV1xxBUaNGuUVaARixIgR2L59u9tlnj+7ysvLQ2FhIY4fP46hQ4e6fQ0aNKjHv5swYQKqqqrcLrvxxhvR3t7ea6E1YK9luv3227F48WKMHTsW+fn5UetHdPDgQTQ2NuLZZ5/FjBkzMHLkSK9CadG+ffswYcKEfh4hkbwxI0REvcrMzER2djb+8pe/oKCgAKdOncLDDz8c9O18//vfx2WXXYaVK1di4cKF+O9//4uPP/7YrVDZ05NPPon7778f6enpmDdvHoxGI3bs2IELFy5g2bJlPv9m7ty5eOSRR3DhwgVkZmYCAKZPn44HH3wQDz74IE6ePInrrrsOxcXFOH/+PF566SWoVCqo1fb/Gw4bNgzvvfceFi5cCJVKhccffzzkrFZflZSUQK/X4/e//z3uvfde7Nu3D7/4xS+8rnfixAmcPXsWc+bMicIoieSLGSEi6pVarcbq1auxc+dOjBkzBg888AB+9atfBX07l1xyCV544QWsXLkS48ePx5o1a/DAAw/4ref59re/jRdffBGvvPIKxo4di5kzZ+LVV1/1mxEaO3YsJk6ciHfeecft8hUrVuDNN9/Erl27cPXVV2PYsGH4xje+AZvNhi1btiAtLQ0AsHLlSmRmZuLiiy/GwoULMXfuXEycODHo4w2HAQMG4NVXX8W7776L8vJyPPvss1ixYoXX9d566y187WtfQ2lpaRRGSSRfKkFwWddJRNTP7r77bhw8eDDsy74//PBD/OhHP8K+ffukTE+8MplMGDZsGN58801ccskl0R4OkaxwaoyI+tWKFStw5ZVXIjk5GR9//DFee+21gOp2gnXVVVfhyJEjOHv2LIqLi8N++7Hk1KlT+OlPf8ogiCgEzAgRUb/65je/iU2bNqGtrQ2DBw/G97//fdx7773RHhYRKRQDISIiIlKs+J44JyIiIvKDgRAREREpFgMhIiIiUiwGQkRERKRYDISIiIhIsRgIERERkWIxECIiIiLFYiBEREREivX/ATxbcbOAAIDVAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ------------------------- layers --------------------------\n", "lay_Fe_top = nx.Layer(id = \"Fe top\",\n", " material = nx.Material.Template(nx.lib.material.Fe_enriched),\n", " thickness = 1)\n", "\n", "lay_Fe_bottom = nx.Layer(id = \"Fe bottom\",\n", " material = nx.Material.Template(nx.lib.material.Fe_enriched),\n", " thickness = 1)\n", "\n", "site = nx.Hyperfine(id = \"no interactions\")\n", "\n", "lay_Fe_top.material.hyperfine_sites = [site]\n", "\n", "lay_Fe_bottom.material.hyperfine_sites = [site]\n", "\n", "\n", "lay_B4C_top = nx.Layer(id = \"B4C top\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 4, min = 0, max = 10, fit = True, id = \"B4C top\"))\n", "\n", "lay_B4C_mid = nx.Layer(id = \"B4C mid\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 4, min = 0, max = 10, fit = True, id = \"B4C mid\"))\n", "\n", "lay_B4C_bottom = nx.Layer(id = \"B4C bottom\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 16, min = 0, max = 20, fit = True, id = \"B4C top\"))\n", "\n", "# the initial guess for the top layer is 3 nm here\n", "# set it to a Var object with reasonable bounds\n", "lay_Pt_top = nx.Layer(id = \"Pt top\",\n", " material = nx.Material.Template(nx.lib.material.Pt),\n", " thickness = nx.Var(3.2, min = 0, max = 10, fit = True, id = \"Pt top thickness\"))\n", "\n", "lay_Pt_bottom = nx.Layer(id = \"Pt bottom\",\n", " material = nx.Material.Template(nx.lib.material.Pt),\n", " thickness = 15)\n", "\n", "\n", "lay_substrate = nx.Layer(id = \"substrate\",\n", " material = nx.Material.Template(nx.lib.material.Si),\n", " thickness = nx.inf)\n", "\n", "cavity = nx.Sample(id = \"cavity\",\n", " geometry = \"r\",\n", " layers = [lay_Pt_top,\n", " lay_B4C_top,\n", " lay_Fe_top,\n", " lay_B4C_mid,\n", " lay_Fe_bottom,\n", " lay_B4C_bottom,\n", " lay_Pt_bottom,\n", " lay_substrate],\n", " angle = 0.1505)\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = cavity,\n", " isotope = nx.lib.moessbauer.Fe57,\n", " id = \"my exp\")\n", "\n", "# initialize a reflectivity object used for the optimization\n", "angles = np.linspace(0.01, 0.4, 1001)\n", "\n", "reflectivity = nx.Reflectivity(experiment = exp,\n", " sample = cavity,\n", " energy = nx.lib.energy.Fe57,\n", " angles = angles)\n", "\n", "intensity = reflectivity()\n", "\n", "# third minimum\n", "min_index = np.squeeze(argrelextrema(intensity, np.less))[2]\n", "\n", "cavity.angle = angles[min_index]\n", "\n", "plt.semilogy(angles, intensity)\n", "plt.xlabel('angle (Gamma)')\n", "plt.ylabel('reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "806118c6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_int = nx.FieldIntensity(sample = cavity,\n", " energy = nx.moessbauer.Fe57.energy,\n", " points = 1001)\n", "\n", "depth, int = field_int()\n", "\n", "plt.plot(depth, int)\n", "\n", "# add lines and labels\n", "axes = plt.gca()\n", "y_min, y_max = axes.get_ylim()\n", "plt.vlines(cavity.Interfaces(), y_min, y_max, colors='g', linestyles='dashed')\n", "for id, location in zip(cavity.Ids(), np.array(cavity.Interfaces()) + 0.5):\n", " plt.text(location, y_max, id, fontsize = 10)\n", " y_max = y_max - 0.5\n", "\n", "plt.xlabel('depth (nm)')\n", "plt.ylabel('relative intensity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "39f6bce2", "metadata": {}, "outputs": [ { "data": { "image/png": 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juCEiUbgr3IQpbGNu2HJDFLgYbohIFPZ9peLc1S3FlhuigMVwQ0SicFfLjX1AscliRXuHxaXPTUS+geGGiERR76bZUqHyIMf37JoiCkwMN0QkCnfNlpJJJQiVywCwa4ooUDHcEJHHtZrMjlYVV4cbAAjvXMiPM6aIAhPDDRF5XL3eBABQBksRpgi6xNnOsw8q1hu5SjFRIGK4ISKPq2tpB2BrtZFIXLf1gp09MLFbiigwMdwQkcfZZ0q5cjfwrrgFA1FgY7ghIo9z175SduHcgoEooDHcEJHHuWumlJ29W0rPncGJAhLDDRF5nLsW8LNzzJZiyw1RQGK4ISKPc3e44YBiosDGcENEHmffV8rdY244oJgoMDHcEJHHub9bigOKiQIZww0ReZTVKqDeviN4hLu6pWxjbtgtRRSYGG6IyKOa2zrQYREAAINC3dtyo+NsKaKAxHBDRB5l75KKUgVDHuSej6AwdksRBTSGGyLyKHePtwGAcAXDDVEgY7ghIo/quq+Uu3TdFVwQBLe9DhF5J4YbIvIod2+9AJzvlrJYBbR1WNz2OkTknbwi3KxatQrp6elQKpXIycnBjh07+nXdhg0bIJFIcMcdd7i3QCJyGcemmRHu2TQTAFTBMtg3G2fXFFHgET3cbNy4EYWFhVi6dCn27NmDiRMnYsaMGaitrb3odWVlZVi0aBGmTZvmoUqJyBVqPdByI5VKuuwvxXBDFGhEDzfLly/HvHnzUFBQgDFjxmD16tVQqVRYs2ZNn9dYLBbce++9+M///E9kZGR4sFoiulyeGFAMdBlUzHBDFHBEDTcmkwm7d+9GXl6e45hUKkVeXh5KSkr6vO65555DXFwc5s6de8nXMBqN0Ol03W5EJB6PhZsug4qJKLCIGm7q6+thsVgQHx/f7Xh8fDw0Gk2v1/z4449499138fbbb/frNYqKiqBWqx231NTUy66biAbOsa+Um8PN+bVuuJAfUaARvVvKGXq9Hvfddx/efvttxMTE9OuaxYsXQ6vVOm6VlZVurpKI+mI0W9Dcagsb7hxzA3RdpZgtN0SBJkjMF4+JiYFMJkNNTU234zU1NUhISOhx/qlTp1BWVobbbrvNccxqtQIAgoKCcPz4cQwdOrTbNQqFAgqFez9Eiah/GlpMAIBgmQSRqmC3vlYYx9wQBSxRW27kcjmysrJQXFzsOGa1WlFcXIzc3Nwe548aNQoHDx7Evn37HLdf/vKXmD59Ovbt28cuJyIvZ58pFROmgMQ+V9tNOOaGKHCJ2nIDAIWFhZgzZw6ys7MxZcoUrFixAgaDAQUFBQCA2bNnIzk5GUVFRVAqlRg3bly36yMjIwGgx3Ei8j61OtvqxO5c48YunGNuiAKW6OEmPz8fdXV1WLJkCTQaDTIzM7Fp0ybHIOOKigpIpT41NIiI+lDT2XIT7+bBxECXbiku4kcUcEQPNwCwcOFCLFy4sNfHtmzZctFr161b5/qCiMgt7C038R5sueGAYqLAwyYRIvKYGke48WDLDcMNUcBxOtx899137qiDiAJAjc79+0rZnR9QzDE3RIHG6XBz8803Y+jQofjrX//KNWOIyCk1InRLccwNUeBxOtxUVVVh4cKF+Pjjj5GRkYEZM2bgww8/hMlkckd9RORH7FPBPdEtZQ83nApOFHicDjcxMTF49NFHsW/fPvz8888YMWIE5s+fj6SkJDz88MPYv3+/O+okIh9nNFvQaLD9ERQf7v6WG465IQpclzWg+IorrsDixYuxcOFCtLS0YM2aNcjKysK0adNw+PBhV9VIRH7AvmGmXCZ1++rEwPkxNy0mM6xWwe2vR0TeY0DhpqOjAx9//DFmzpyJtLQ0bN68Ga+//jpqampw8uRJpKWl4a677nJ1rUTkw+yDiWPD3b86MXC+W0oQAIOJrTdEgcTpdW7++Mc/4oMPPoAgCLjvvvuwbNmybqsDh4aG4uWXX0ZSUpJLCyUi31an99w0cABQBEkRLJOgwyKgxWh2tOQQkf9zOtwcOXIEK1euxKxZs/rckDImJoZTxomoG3vLjSdmSgGARCJBmCIITa0d0Lebkaj2yMsSkRdwultq6dKluOuuu3oEG7PZjB9++AGAbYfua6+91jUVEpFf8OQ0cDtunkkUmJwON9OnT0djY2OP41qtFtOnT3dJUUTkf84v4OeZbing/IwpLuRHFFicDjeCIPQ6GLChoQGhoaEuKYqI/E+tfcyNB6aB24VxIT+igNTvMTezZs0CYOvHvv/++7t1S1ksFhw4cABTp051fYVE5BfE6JZSh9i6pZpb2XJDFEj6HW7UattoPEEQEB4ejpCQEMdjcrkcV155JebNm+f6ConIL5wfUOy5bqmYMDkAOBYPJKLA0O9ws3btWgBAeno6Fi1axC4oIuq39g4LtG221hNPbJppNyjUFqQaWowee00iEp/TU8GXLl3qjjqIyI/VdrbaKIOliFA6/bEzYIM6W27q2XJDFFD69SlzxRVXoLi4GFFRUZg0adJFVxfds2ePy4ojIv/gGEwcofTI6sR2g8JsLTf1erbcEAWSfoWb22+/3TGA+Pbbb/fohxMR+T7HNPBwz423AYCYUFvLTQNbbogCSr/CTdeuqGeffdZdtRCRn7LPlPLkeBvgfMsNx9wQBRan17l54IEHsGXLFjeUQkT+qkaENW6A87Olmlo7YLZYPfraRCQep8NNXV0dbr75ZqSmpuLxxx/H/v373VEXEfmRWhGmgQNApEoOaWcvemMru6aIAoXT4eazzz7DuXPn8Mwzz2Dnzp244oorMHbsWDz//PMoKytzQ4lE5OvEWMAPAGRSCaLt425aGG6IAoXT4QYAoqKi8Pvf/x5btmxBeXk57r//fqxfvx7Dhg1zdX1E5AfOj7nxbMsNcH6tm1rOmCIKGAMKN3YdHR3YtWsXfv75Z5SVlSE+Pt5VdRGRHzm/OrFnW24AICXKtpp6ZWOrx1+biMQxoHDz3XffYd68eYiPj8f999+PiIgIfPHFFzh79qyr6yMiH6dv73BsXJmo9ny4SRtkW029vMHg8dcmInE4vVRocnIyGhsbcfPNN+Ott97Cbbfd1m0TTSKirs5pbV1S6pBgqOSeW53YLj1GBQA4U8+WG6JA4fQnzbPPPou77roLkZGRbiiHiPyNPdyI0WoDACPiwwEAR6q1orw+EXme0+GGO38TkTPONbcBEC/cjE9WQyoBqrXtqNW1e3whQSLyvH6Fm1mzZmHdunWIiIjArFmzLnruJ5984pLCiMg/2FtuEtQhorx+qCIII+LDcUyjx77KZtw0NkGUOojIc/oVbtRqtWM/qYiICO4tRUT9dk5ra7lJEqnlBgAmpkQy3BAFkH6Fm7Vr1zq+X7dunbtqISI/dL7lRrxwM2lwJDbuqsTu8ibRaiAiz3F6Kvj111+P5ubmHsd1Oh2uv/56V9RERH7EHm6SIsXplgKAyUOiAQB7K5thNFtEq4OIPMPpcLNlyxaYTD2XMW9vb8fWrVtdUhQR+Q+NF7TcZMSEIiZMDpPZioNnOWuKyN/1e7bUgQMHHN8fOXIEGo3Gcd9isWDTpk1ITk52bXVE5NN0Ii/gZyeRSJCdFo1NhzXYUdaI7PRo0WohIvfrd7jJzMyERCKBRCLptfspJCQEK1eudGlxROTbNCIv4NfVlCG2cLPzTCNwnailEJGb9fvT5syZMxAEARkZGdixYwdiY2Mdj8nlcsTFxUEmk7mlSCLyTdUir3HT1ZTOcTe7yppgtQqQSjnrk8hf9TvcpKWlAQCsVqvbiiEi/6IReXXirkYlhEMRJIXeaEZ5YyuGxISKXRIRuYnTA4qLioqwZs2aHsfXrFmDF1980SVFEZF/qBZ5Ab+ugmRSjEqwbcVwmFsxEPk1p8PNm2++iVGjRvU4PnbsWKxevdolRRGRf9B4wQJ+XY1JUgMADlfrRK6EiNzJ6XCj0WiQmJjY43hsbCzOnTvnkqKIyD94wwJ+XY1LjgDAcEPk75wON6mpqdi2bVuP49u2bUNSUpJLiiIi/+ANC/h1Nbaz5eYIww2RXxvQruB/+tOf0NHR4ZgSXlxcjCeeeAKPPfaYywskIt8kCIJjR3BvabkZFhcGAKhvMaK51YRIlVzkiojIHZwON48//jgaGhowf/58x0rFSqUSTz75JBYvXuzyAonIN+mNZhhMtq0OvGG2FACEKYKQHBmCquY2nKxt4WJ+RH7K6W4piUSCF198EXV1ddi+fTv279+PxsZGLFmyxB31EZGPOtfsPQv4dTW0s/XmRG2LyJUQkbs4HW7sNBoNGhsbMXToUCgUCgiC4Mq6iMjHVTW3AgCSvWS8jd1we7ipYbgh8ldOh5uGhgbccMMNGDFiBGbOnOmYITV37lyOuSEih7NNtvE2KVHeGW5O1jHcEPkrp8PNo48+iuDgYFRUVEClUjmO5+fnY9OmTS4tjoh81/lwo7rEmZ5lH1R8skYvciVE5C5Oh5uvv/4aL774IlJSUrodHz58OMrLywdUxKpVq5Ceng6lUomcnBzs2LGjz3M/+eQTZGdnIzIyEqGhocjMzMT69esH9LpE5D5VneEm2ctabuzhplrb7tixnIj8i9PhxmAwdGuxsWtsbIRCoXC6gI0bN6KwsBBLly7Fnj17MHHiRMyYMQO1tbW9nh8dHY2nnnoKJSUlOHDgAAoKClBQUIDNmzc7/dpE5D5nm2xjbrytWypSJUdsuO2z6iQHFRP5JafDzbRp0/C3v/3NcV8ikcBqtWLZsmWYPn260wUsX74c8+bNQ0FBAcaMGYPVq1dDpVL1un8VAFx33XW48847MXr0aAwdOhSPPPIIJkyYgB9//LHX841GI3Q6XbcbEbmft465AYChsbZNM09z3A2RX3I63CxbtgxvvfUWfvGLX8BkMuGJJ57AuHHj8MMPPzi9cabJZMLu3buRl5d3viCpFHl5eSgpKbnk9YIgoLi4GMePH8c111zT6zlFRUVQq9WOW2pqqlM1EpHz2kwWNBhs62ClRHrXmBsAyIi1dU2dYrgh8ktOh5tx48ahtLQUV199NW6//XYYDAbMmjULe/fuxdChQ516rvr6elgsFsTHx3c7Hh8fD41G0+d1Wq0WYWFhkMvluOWWW7By5UrceOONvZ67ePFiaLVax62ystKpGonIefZp4OGKIESEeM8aN3YZMfaWG4PIlRCROwzoU0etVuOpp55ydS39Fh4ejn379qGlpQXFxcUoLCxERkYGrrvuuh7nKhSKAY0FIqKBq+wymFgikYhcTU/2hfwYboj8U7/CzYEDB/r9hBMmTOj3uTExMZDJZKipqel2vKamBgkJCX1eJ5VKMWzYMABAZmYmjh49iqKiol7DDRF5XpWXTgO3GxpjCzdnGgywWAXIpN4XwIho4PoVbjIzMyGRSC65CrFEIoHFYun3i8vlcmRlZaG4uBh33HEHAMBqtaK4uBgLFy7s9/NYrVYYjcZ+n09E7uXNg4kBW4uSPEgKk9mKqqY2DB7knSGMiAamX+HmzJkzbiugsLAQc+bMQXZ2NqZMmYIVK1bAYDCgoKAAADB79mwkJyejqKgIgG2AcHZ2NoYOHQqj0YivvvoK69evxxtvvOG2GonIOd46DdxOJpVgyKBQHK/R41R9C8MNkZ/pV7i58847UVxcjKioKDz33HNYtGhRr2vdDER+fj7q6uqwZMkSaDQaZGZmYtOmTY5BxhUVFZBKz497NhgMmD9/Ps6ePYuQkBCMGjUKf//735Gfn++Seojo8lU1e3fLDQBkxHaGm9oWTB8ZJ3Y5RORCEqEfO16GhITgxIkTSElJgUwmw7lz5xAX55sfBjqdDmq1GlqtFhEREWKXQ+SXJv/3v1GnN+LzhVdjfIpa7HJ69fLm43j9u5P4bc5gPH/neLHLIaJLcOb3d7/H3BQUFODqq6+GIAh4+eWXERYW1uu5S5Yscb5iIvIb7R0W1OltY+C8veUG4EJ+RP6oX+Fm3bp1WLp0Kb744gtIJBL83//9H4KCel4qkUgYbogCnL1LKlQuQ6QqWORq+nZ+IT9OByfyN/0KNyNHjsSGDRsA2KZhFxcX+2y3FBG5V5WXr3FjZ2+5qdMboW/vQLjSe4MYETnH6RWKrVYrgw0R9ck+DTw50nu7pAAgQhns2ECTi/kR+Renww0ArF+/HldddRWSkpJQXl4OAHj11Vfx2WefubQ4IvI95Y22oDA42vunV9u3YeAeU0T+xelw88Ybb6CwsBAzZ85Ec3OzY9G+qKgorFixwtX1EZGPqWiwrXEzeFCoyJVcGrdhIPJPToeblStX4u2338ZTTz0FmUzmOJ6dnY2DBw+6tDgi8j3lneEm3QcWxnNsoFnPlhsif+J0uDlz5gwmTZrU47hCoYDBwL9+iAKZIAioaLSFmzQfCDdD7TOmavnZReRPnA43Q4YMwb59+3oc37RpE0aPHu2KmojIRzUaTGgxmiGReO+mmV3Zw419A00i8g/9mgreVWFhIRYsWID29nYIgoAdO3bggw8+QFFREd555x131EhEPqK8s9UmIUIJZbDsEmeLr+sGmtXNbUj1gUHQRHRpToebBx54ACEhIXj66afR2tqK3/72t0hKSsJrr72Gu+++2x01EpGPcAwm9pGQIJNKkD5IhdKaFpysa2G4IfITToUbs9mM999/HzNmzMC9996L1tZWtLS0cN0bIgIAlDXYxq74wngbu6GxYSitacHpOgOmjxS7GiJyBafG3AQFBeHBBx9Ee3s7AEClUjHYEJGDveUmzQemgdtxjyki/+P0gOIpU6Zg79697qiFiHxcuQ/NlLJzzJhiuCHyG06PuZk/fz4ee+wxnD17FllZWQgN7f4X2oQJE1xWHBH5FvsaN2nRvtRyw4X8iPyN0+HGPmj44YcfdhyTSCQQBAESicSxYjERBRaD0Yz6FiMAYLAPtdzYu6VquYEmkd9wOtycOXPGHXUQkY+zL94XqQqGOsR3AoJ9A806vRGn6wyYmBopdklEdJmcDjdpaWnuqIOIfNyZevtMKd/pkrLLiAm1hZv6FoYbIj8woF3BiYguZJ9tNDTGB8MNt2Eg8isMN0TkEvYBufYxLL5kaCw30CTyJww3ROQSp+vt4SZM5EqcN5Qzpoj8CsMNEV02QRAc3VK+2HLjWMivnhtoEvkDhhsiumwNBhN07bbdwNN9cEBxSpQKctn5DTSJyLe5LNzMmTMH119/vauejoh8iL07J0kd4hO7gV9IJpUgPca2Ng9XKibyfS4LN8nJyZwmThSgztT7bpeUXUaMfRsGjrsh8nVOr3PTl+eff95VT0VEPsbecjPUBwcT2w2NCwUOcwNNIn/AMTdEdNnsrR1DfHCNGzt7yw1nTBH5vn613BQWFvb7CZcvXz7gYojIN532h26pzto55obI9/Ur3Ozdu7dfTyaRSC6rGCLyPR0WKyo6dwP3xTVu7Oy1cwNNIt/Xr3Dz3XffubsOIvJR5Q0GmK0CVHIZEiOUYpczYOqQYMSEKVDfYsSZegMmpESKXRIRDdCAx9ycPHkSmzdvRlubbU0IQeDCV0SBqLTG1o0zPC4MUqlvt96ya4rIPzgdbhoaGnDDDTdgxIgRmDlzJs6dOwcAmDt3Lh577DGXF0hE3u2EPdzEh4tcyeXjNgxE/sHpcPPoo48iODgYFRUVUKlUjuP5+fnYtGmTS4sjIu9XWqsHAIyI993xNnaODTQZboh8mtPr3Hz99dfYvHkzUlJSuh0fPnw4ysvLXVYYEfmGEzW2cONPLTfsliLybU633BgMhm4tNnaNjY1QKBQuKYqIfEOHxYoznbuBD4/z/ZYb+5ibM/UGWLmBJpHPcjrcTJs2DX/7298c9yUSCaxWK5YtW4bp06e7tDgi8m5l9QZ0WASEymVIjgwRu5zLZt9A02i2ooobaBL5LKe7pZYtW4YbbrgBu3btgslkwhNPPIHDhw+jsbER27Ztc0eNROSl7DOlhsWH+8U6V/YNNEtrWnCqrgWp0T1bqYnI+zndcjNu3DiUlpbi6quvxu233w6DwYBZs2Zh7969GDp0qDtqJCIvVdo53maEH3RJ2XEDTSLf51TLTUdHB26++WasXr0aTz31lLtqIiIfccIxU8r3BxPbjUgIx6bDGhw7pxO7FCIaIKdaboKDg3HgwAF31UJEPsaxgJ8fTAO3G5NoC2rHNHqRKyGigXK6W+p3v/sd3n33XXfUQkQ+pL3DgtOdU6bHJEaIXI3rjEqw/SzHa/QwW6wiV0NEA+H0gGKz2Yw1a9bg3//+N7KyshAa2n0XYO4KThQYjmv0sArAoFA5YsP9ZxmIwdEqhMplMJgsOFNv8Iv1e4gCjdPh5tChQ7jiiisAAKWlpd0e84fZEkTUP0c6x6SMSYrwq//7UqkEIxPCsaeiGUfO6RhuiHyQ0+GGO4QTEQActYcbP+qSshudGIE9Fc04ek6P2zPFroaInDXgXcGJKLAdqbaFm9F+GG5Gdf5MxzScMUXkixhuiMhpVqvgmE00Jsn/wo19xtRRTgcn8kleEW5WrVqF9PR0KJVK5OTkYMeOHX2e+/bbb2PatGmIiopCVFQU8vLyLno+EbleZVMrWoxmyIOkyIgJvfQFPmZk54ypGp0RjQaTyNUQkbNEDzcbN25EYWEhli5dij179mDixImYMWMGamtrez1/y5YtuOeee/Ddd9+hpKQEqampuOmmm1BVVeXhyokCl71LamR8OIJkon+MuFyYIghpg2xbL7D1hsj3iP6ptHz5csybNw8FBQUYM2YMVq9eDZVKhTVr1vR6/j/+8Q/Mnz8fmZmZGDVqFN555x1YrVYUFxd7uHKiwOXPg4ntRiWwa4rIV4kabkwmE3bv3o28vDzHMalUiry8PJSUlPTrOVpbW9HR0YHo6OheHzcajdDpdN1uRHR5DjkGE/vvNGn7QOkjDDdEPkfUcFNfXw+LxYL4+Phux+Pj46HRaPr1HE8++SSSkpK6BaSuioqKoFarHbfU1NTLrpsokAmCgANnmwEAE1IjRa3FncYmqQEAh6sYboh8jejdUpfjhRdewIYNG/DPf/4TSqWy13MWL14MrVbruFVWVnq4SiL/ck7bjvoWE4KkEr/ulpqQYgs3J2r1aDWZRa6GiJzh9CJ+rhQTEwOZTIaamppux2tqapCQkHDRa19++WW88MIL+Pe//40JEyb0eZ5CoYBC4T9LwxOJzd5qMyI+HMpgmbjFuFF8hBLxEQrU6Iw4XK3D5PTeu76JyPuI2nIjl8uRlZXVbTCwfXBwbm5un9ctW7YM//Vf/4VNmzYhOzvbE6USUaf9Z7UAgImpapErcb/xyZEAgP2VzaLWQUTOEb1bqrCwEG+//Tbee+89HD16FA899BAMBgMKCgoAALNnz8bixYsd57/44ot45plnsGbNGqSnp0Oj0UCj0aClpUWsH4EooNhbbuy/+P3ZxM6uqYNVWpErISJniNotBQD5+fmoq6vDkiVLoNFokJmZiU2bNjkGGVdUVEAqPZ/B3njjDZhMJvz617/u9jxLly7Fs88+68nSiQKO1SrgQGfLjX1Mij8b3/kz2n9mIvINoocbAFi4cCEWLlzY62Nbtmzpdr+srMz9BRFRr8obW6Fvt61MPDLBf6eB201IiQQAnKk3QNvWAXVIsLgFEVG/iN4tRUS+w94lNSYxAsF+uDLxhaJD5UiNDgEAHGLXFJHP8P9PJyJymb0VzQCATD9e3+ZCEzrHFrFrish3MNwQUb/tKm8EAGSlRYlciedMcIy7aRa3ECLqN4YbIuoXg9GMo+f0AAIr3HBQMZHvYbghon7ZX9kMi1VAklqJpMgQscvxmAkpkZBKgKrmNtTo2sUuh4j6geGGiPpld3kTAOCKAGq1AYAwRRBGJdi2mdhV1iRyNUTUHww3RNQvuzrDTXaAhRsAmJxu+5l3ljWKXAkR9QfDDRFdktUqYE+FLdxkpQXeHkvZnftK2QdUE5F3Y7ghoks6UdsCfbsZIcEyjE70/8X7LpTd2XJzpFqHFiN3CCfydgw3RHRJP59pAABckRaJoABYvO9CieoQJEeGwCoA+zrX+iEi7xV4n1JE5LSSU7Zwk5sxSORKxGNvvWHXFJH3Y7ghoouyWgVsP90ZboYGcrjpHHfDGVNEXo/hhogu6niNHk2tHVDJZY6NJAORfZbY3oommC1WkashoothuCGii7J3SWWnRwfEZpl9GREfjnBlEAwmC46c04ldDhFdROB+UhFRvzi6pAJ4vA0AyKQS5AyxdU391Bn4iMg7MdwQUZ8sVgE/n7ENoL0yI/DWt7nQ1KExAIBtJ+tFroSILobhhoj6dKhKC21bB8IVQRifrBa7HNFdNcwWbnaWNcJotohcDRH1heGGiPr0fWkdANsv9UBc3+ZCI+LDEBOmQHuHFXvKm8Uuh4j6wE8rIuqTPdxcOzJW5Eq8g0QiwVXDbGOP2DVF5L0YboioV9rWDuzt3E/qmhEMN3b2rqltpxhuiLwVww0R9erHk/WwCsDwuDAkR4aIXY7XsIeb/ZXN0LV3iFwNEfWG4YaIevV9aS0AttpcKDkyBENiQmEVgO2cEk7klRhuiKgHq1XAluO28TYMNz3Zx938cKJO5EqIqDcMN0TUw4EqLWr1RoTKZVzfphfXj4oDAHx7tBaCIIhcDRFdiOGGiHr4+rAGAHDdyDgogmQiV+N9pg6NgTJYimptO46e04tdDhFdgOGGiHr45kgNAODGMfEiV+KdlMEyXN05sLj4aI3I1RDRhRhuiKibM/UGnKhtQZBUgukj48Qux2vdMNoW/IqP1YpcCRFdiOGGiLr55oitSyonIxpqVbDI1Xgv+7ib/WebUac3ilwNEXXFcENE3Xx10BZubhqTIHIl3i0+QonxyWoIAvDdcbbeEHkThhsicqhsbMW+ymZIJcAvxjPcXIq99ebfRzjuhsibMNwQkcO/9lcDAHKHDkJcuFLkarzfjLG2ALiltA4tRrPI1RCRHcMNETl83hlubpuQJHIlvmF0YjgyYkJhMlvZekPkRRhuiAgAUFqjxzGNHsEyCX4xLlHscnyCRCLBrRNs79UXB86JXA0R2THcEBGA8602146I5SwpJ9zS2cr1Q2kdN9Ik8hIMN0QEQRAc421um8guKWeMTAjH8LgwmCxWfHOYXVNE3oDhhoiw/XQjyhtaEaYI4qrEA3BLZ9fUlwfZNUXkDRhuiAgbd1YAAH6ZmQSVPEjkanzPrV26phpauKAfkdgYbogCXHOrCV8dsi3cd/fkVJGr8U3D4sIwMUUNs1XAP/dWiV0OUcBjuCEKcJ/urYLJbMXoxAiMT1aLXY7PuivbFgw/3FUJQRBEroYosDHcEAUwQRCwYWclAFurjUQiEbki33XbxCQogqQorWnBgbNascshCmgMN0QBbE9FM45p9JAHSXFHZrLY5fg0dUgwfjHOtmLxh7sqRa6GKLAx3BAFsDU/ngEA3D4xiWvbuMBvOrum/rWvGm0mi8jVEAUuhhuiAHW2qRX/d8g2dXnutCEiV+MfrswYhJSoEOiNZnx+oFrscogCFsMNUYD6W0k5rAJw1bBBGJUQIXY5fkEqleB3V6YBANZtK+PAYiKRMNwQBSCD0YwPdtjWtvmPq9hq40p3T06FMliKI+d02FnWJHY5RAGJ4YYoAG3YWQl9uxkZMaGYPjJO7HL8SqRKjjsnpQAA1m47I3I1RIFJ9HCzatUqpKenQ6lUIicnBzt27Ojz3MOHD+NXv/oV0tPTIZFIsGLFCs8VSuQn2jssePP7UwCAB6ZlQCrl9G9Xu39qOgBg82ENqprbxC2GKACJGm42btyIwsJCLF26FHv27MHEiRMxY8YM1NbW9np+a2srMjIy8MILLyAhIcHD1RL5h407K1GrNyI5MgS/zkoRuxy/NDIhHFOHDoJVANb+yNYbIk8TNdwsX74c8+bNQ0FBAcaMGYPVq1dDpVJhzZo1vZ4/efJkvPTSS7j77ruhUCg8XC2R7zOaLXhji63V5qHrhkIeJHrjrd/6/TUZAIB//FyBRoNJ5GqIAoton2wmkwm7d+9GXl7e+WKkUuTl5aGkpMRlr2M0GqHT6brdiALVhzsrodG1IyFCibuy2WrjTteOiMX4ZDXaOiyO9YSIyDNECzf19fWwWCyIj4/vdjw+Ph4ajcZlr1NUVAS1Wu24paZyY0AKTAajGf/z7UkAtlYbRZBM5Ir8m0QiwcLrhwEA3vupDNq2DpErIgocft8mvXjxYmi1WsetspLLolNgeuuH06jTG5E2SIV7pgwWu5yAcOPoeIyMD4feaMa6bWVil0MUMEQLNzExMZDJZKipqel2vKamxqWDhRUKBSIiIrrdiAJNra4db/1wGgDwxIxRHGvjIVLp+dabd7ae5tgbIg8R7RNOLpcjKysLxcXFjmNWqxXFxcXIzc0Vqywiv7T8m1K0dVgwaXAkZo7nTENPumV8IsYkRkBvNOP1zm5BInIvUf98KywsxNtvv4333nsPR48exUMPPQSDwYCCggIAwOzZs7F48WLH+SaTCfv27cO+fftgMplQVVWFffv24eRJfmAQ9WVfZTM2du5S/dTM0ZBIuK6NJ0mlEiyeOQoAsH57GSobW0WuiMj/BYn54vn5+airq8OSJUug0WiQmZmJTZs2OQYZV1RUQCo9n7+qq6sxadIkx/2XX34ZL7/8Mq699lps2bLF0+UTeT2zxYqn/nkQggDMmpSM7PRosUsKSNOGx2La8BhsPVGPl78+jtfunnTpi4howCRCgO3sptPpoFarodVqOf6G/N7abWfwn58fQYQyCN8uug4xYVwfSiyHqrS4deWPAICPHszFZAZNIqc48/ubowqJ/FR1cxte+boUAPDkL0Yx2IhsXLIad0+2LUXxzKeHYLZYRa6IyH8x3BD5IatVwOMf70eL0YwrBkfinsmc+u0Nnrx5FKJUwTim0WPdT2Vil0PktxhuiPzQ+u3l2HayAcpgKV75TSY3x/QSUaFy/PkXtsHFr35TimpuqknkFgw3RH7mVF0Liv7vKADgLzNHY0hMqMgVUVd3ZaUiKy0KBpMFT/6/AwiwYY9EHsFwQ+RH2kwWLPjHHrR3WHH1sBj8LidN7JLoAlKpBMt+PQGKICm2nqjH+zsqxC6JyO8w3BD5kSWfHcIxjR4xYQos/81Edkd5qaGxYXjiZlv31H9/eRQVDVz7hsiVGG6I/MSHOyvx0e6zkEqA/7knE3ERSrFLoosomJqOKUOi0Wqy4I8f7IHRbBG7JCK/wXBD5Ad+Pt2Apz49CAB4NG8Epg6NEbkiuhSpVILlv5mISFUw9p/V4vkvj4pdEpHfYLgh8nFn6g34w993o8MiYOb4BCyYPkzskqifUqJUWP6biQCA90rK8fn+apErIvIPDDdEPqzJYMLcdTvR3NqBiamRWM5p3z7n+lHxmH/dUADAn//fARzX6EWuiMj3MdwQ+Sh9ewfmrN2B0/UGJEeG4O3ZWVAGy8Quiwag8MYRyM0YBIPJgoK1O1Craxe7JCKfxnBD5INaTWb8x7qdOHBWiyhVMNYVTEZcOAcQ+6ogmRRv/O4KZMSEolrbjrnv7UKrySx2WUQ+i+GGyMe0mSz4w/rd2FnWhHBlENbPzcHw+HCxy6LLFKmSY23BZESHynGwSouF7+9FB/efIhoQhhsiH6Jr78CcNTuw9UQ9VHIZ1hVMwbhktdhlkYukDQrF27OzoQiS4ttjtXhkw15usEk0AAw3RD6iocWIe97ajh1ljQhXBuFv/zEFWWlRYpdFLpaVFoXV92VBLpPiq4MaPPbRflis3KKByBkMN0Q+4GStHrPe+AmHq3WICZNjw++vRHZ6tNhlkZtMHxmH1387CUFSCT7bV43CD/exi4rICQw3RF5uy/Fa3LnqJ5Q3tCIlKgQf/iEXY5PYFeXvbhqbgNfuPh9w5v2Ng4yJ+ovhhshLCYKAd7aexn+s2wm90YwpQ6Lx2YKrkBEbJnZp5CG3TEjE27OzoQyWYsvxOvzunZ/R0GIUuywir8dwQ+SFGg0mzPvbLvz1y6OwCkB+dir+PjcHg8IUYpdGHjZ9VBz+8cCVUIcEY09FM375+jYcrtaKXRaRV2O4IfIy2083YOZrW/Hvo7WQB0nx3O1j8cKvxkMexP+ugSorLQr/76FcpA9Soaq5Db9+owRfHjgndllEXksiCEJADcPX6XRQq9XQarWIiIgQuxwih1aTGcs2Hcd7JWUQBCAjNhQr75nE8TXkoG3twMIP9mDriXoAwH9cNQRP3DySK1NTQHDm9zf/FCTyAj+eqMdNr/6AdT/Zgs1dWSn4fOHVDDbUjVoVjLX3T8bvr8kAAKzZdgZ3rNqG0hruR0XUFVtuiER0tqkVRV8dw5cHbV0MyZEheH7WeFw7IlbkysjbfXusBo9/dAANBhMUQVI8PmMk7p+ajiAZ/2Yl/+TM72+GGyIRtJrMWL3lFN784TSMZiukEuB3V6bhiZtHIUwRJHZ55CNq9e14/KMD+L60DgAwPlmNolnjuWo1+SWGm4tguCExtXdY8P7PFfjfLadQ3zml98qMaCy5dSzGJPHfIznPahWwcVclir46Cl27GTKpBLNz0/DIDcMRqZKLXR6RyzDcXATDDYmhvcOCD3dVYtV3J1Gjs4Wa1OgQPDVzNGaMTYBEIhG5QvJ1tfp2PPf5EXzROYsqQhmEh28Yjvty06AI4oBj8n0MNxfBcEOeVN9ixPqScvx9ezkaDCYAQJJaiT/eMBy/uiKF07vJ5baeqMN/f3kUxzS2QcaDo1X44/XDcMekZARzPA75MIabi2C4IU84VKXF37eX45O9VTCZbXsCJUeG4MFrM/Cbyan8S5rcymIV8PHuSrz8dSnq9OdbCudfN4yhmnwWw81FMNyQu2hbO/DZ/ips3FmJw9U6x/GJqZGYN20Ibh6bwJks5FEGoxl/316Ot7eeRn2LreUwPkKB+65Mwz1TBnPFa/IpDDcXwXBDrtTeYcEPpXX44sA5bD6sgbGzlUYuk+KmsfG4f2o6stKiOKaGRNVmsuD9HRV48/tTqO1syZEHSfHLiUmYnZuG8clq/hslr8dwcxEMN3S5jGYLtpbW48uD5/DNkRq0GM/v1DwyPhz5k1Nx56RkRIVypgp5F6PZgv87qMHabWew/+z5/alGxofjV1nJuCMzGXERShErJOobw81FMNzQQJzTtmHL8Tp8d6wW207Ww2CyOB5LiFBi5vhE/DIzCRNT+Bcw+Ya9FU1476cy/N+h8y2OUglwzYhY3DohCXmj4ziVnLwKw81FMNxQfxiMZuwqb0LJqQZsOV7rmHliFxeuwMzxibh1QiKuGBwFqZSBhnyTtq0DXx44h/+35yx2lzc5jsukEuRmDMKMcQmYMSaeLTokOoabi2C4od7o2zuwq6wJ2880YPvpRhyq0sJiPf9fQyIBMlMjMX1kHKaPjMPYpAgGGvI7p+ta8Nm+amw+rOkR6McmRWDa8FhcMzwGWelRnPFHHsdwcxEMN2Q0W3D0nB4HzjZjf6UW+88241RdCy78n5AcGYKcjGhcMzwW14yIRTTH0FAAKas3YPNhDTYd1mBvRXO3x0KCZcjJiMbUoYOQnR6NcUlqTi8nt2O4uQiGm8DS3GrCMY0epTV6HNPocahKi6PndOiw9PxnnzZIhZwh0cgZMgg5GdFIiVKJUDGR96nTG7HtZD1+OFGHrSfqHWvn2CmCpJiYEons9Chkp0chMzWKfwyQyzHcXATDjf8RBAGNBhPKGgw4U9/qCDLHNTrHVgcXilIFY2JqJCakRGJiihoTUiIRG841P4guRRAEHK/RY2tpPXaUNWJXWSOaWjt6nJekVmJcsrrzFoFxyWrEhXPcDg0cw81FMNz4JkEQ0NzagYrGVpQ1GHC6zoCyBgPK6g04U2+Art3c57XJkSEYlRCOkQnhGJ0YgczUSKREhXBWE5ELCIKA0/UG7CprxK6yJuwub8LpekOv58aEKTA8LgzD48MwPC4Mw+LCMTw+DDFcTJD6geHmIhhuvFOHxQqNth1VzW2obm5DVVMbqrVtqGpuR1VTK6qb29HWYbnocySplUiPCcWwuDCMTAjHqIRwjIgPR7gy2EM/BREBtgH6R6p1OFStw+EqLQ5Va3GytgXWPn7bRKmCMSwuDGmDQjE4WoW0QarOr6GIUgXzDxECwHBzUQw3nmUwmlGnN6JWb0Stvh21OiPqWoyo1dnu1+mNqNMb0dhq6jGgtzdx4Qqkx4RiyKBQ29fOW9ogFZTBnL1B5K1aTWacrG3BiZoWnKhtwYkaPU7UtqCyqfWi//fDFUEY3Bl2kiJDkKhWIkGtRKLa9n1cuILbmgQIhpuLYLgZuPYOC5paTWg0mNDc2oFGgwlNrSY0GTocx5taux9rNV28taUruUyKpEglkiJDkBwZguSoECRFhiAl0vY1MVLJ6adEfqbNZMGpuhacqmtBRUMryhtbO78a+hwz15VUAsSFK5EYqewMO0rEhisQEybHoFAFYjq/jwlT8A8gH+fM7+8gD9VEIjOZrWg1maFvt9107R22r20d0Ld3QNduht5+rNtjZug6j9l3t3aWSi5DXLgCseEKxweP7XsF4iKUiA2z3R8UKufaMUQBJkQucww8vlCbyYLKJlvYqWhshUbXjurmNmi07TinbUeNrh1mqwCNrh0aXTv2XuK1whVBjrAzKFSBqFA5IlXBiAwJRqQqGOqQzvuqYER2fs9A5JsYbryExSqgvcNiu5mtMHZY0N5hRbvZ4jhuMFrQZrLAYDKj1WSBwWj72moyw2DqfKzLsa7nmPvq7HZSkFSCqFA5olTBiFLJER0qR6RKjuhQ2337Mfs5g8IUCFPwnxkROS9ELsOIeNvYud5YrAIaWoyo1rZDo21DdXM76lqMqNcbUd9iRH2LCQ2dX00WK/RGM/RGM870MeC5N4ogqSPsqEOCEa4MQpgyCGEK29dwRRBCFbb74coghCmCHY+Hd35VyWUcN+Rh/K3jIlXNbfhwZyWMZivaOywwmm3hxP7VEVy6HOv6tbd1V9xBHiRFhDIYESFBCFcGI0IZhAil7T9sREgwwhWdXy883uVx/iclIm8gk0oQF6G0bQ2RGtnneYIgQNdutgUevRENBhPqW4xobu2w3dpM0LZ2oLmtA82tps5jHbBYBRjNVtTojP3qIuuLVAKEyoOglMugkssQEixDSOdXlVwGZXDX40G9nyOXQRVsO1ceJIUiSApFsAxymRSKYNt9uUzKz+dODDcuotG247XiEy55Lvs/VmWwDIogabd/+KGdfwXYbkEIVdi+quQyhMqDoFJ0eUwehBC5rNs5wRx4R0QBRiKRQB0SDHVIMIbGhvXrGkEQ0GI0o7m1A9q28yHIYLR17bcYzTAYbV/t91vaL7hvNMNiFWAV4Gg1cjdH8AmSdX6V2o4Fn7/f9XF55y1YZr9J+vxeHiRFkLTzeJAUwV2+l8ukCOo8Xy6TIkQuE3WKP8ONi8RHKHBvzmAog2VQBtv+4Sg7A4oySNaZrLsc6xJclMHSbufIOO6EiEhUEokE4cpghCuDkTrA5xAEW8uPPey0mSxo67ANIWg1mR3ft3VY0Gqyte7bhhXYvzejrcOKts5zW00WGDusMJptLf5Gs7XHWEhT5zE93B+kLiYzNRKfLrhKtNf3inCzatUqvPTSS9BoNJg4cSJWrlyJKVOm9Hn+Rx99hGeeeQZlZWUYPnw4XnzxRcycOdODFfeUEqXCf985XtQaiIjIe0gkEscfs+5aAV0QBJgsnYGnc5iDyWwPQLbxm/YQdGEosg+N6LBY0WEROr/2vG8yCzBbO4+bba9nttq+77BYbfct3b9XBovbSyB6uNm4cSMKCwuxevVq5OTkYMWKFZgxYwaOHz+OuLi4Huf/9NNPuOeee1BUVIRbb70V77//Pu644w7s2bMH48aNE+EnICIiEodEIunsYpIB3N3CQfR1bnJycjB58mS8/vrrAACr1YrU1FT88Y9/xJ///Oce5+fn58NgMOCLL75wHLvyyiuRmZmJ1atXX/L1uM4NERGR73Hm97eo7UYmkwm7d+9GXl6e45hUKkVeXh5KSkp6vaakpKTb+QAwY8aMPs83Go3Q6XTdbkREROS/RA039fX1sFgsiI+P73Y8Pj4eGo2m12s0Go1T5xcVFUGtVjtuqakDHRpGREREvsDv5wUvXrwYWq3WcausrBS7JCIiInIjUQcUx8TEQCaToaamptvxmpoaJCQk9HpNQkKCU+crFAooFOLNtSciIiLPErXlRi6XIysrC8XFxY5jVqsVxcXFyM3N7fWa3NzcbucDwDfffNPn+URERBRYRJ8KXlhYiDlz5iA7OxtTpkzBihUrYDAYUFBQAACYPXs2kpOTUVRUBAB45JFHcO211+KVV17BLbfcgg0bNmDXrl146623xPwxiIiIyEuIHm7y8/NRV1eHJUuWQKPRIDMzE5s2bXIMGq6oqIBUer6BaerUqXj//ffx9NNP4y9/+QuGDx+OTz/9lGvcEBEREQAvWOfG07jODRERke/xmXVuiIiIiFyN4YaIiIj8CsMNERER+RWGGyIiIvIrDDdERETkV0SfCu5p9slh3ECTiIjId9h/b/dnknfAhRu9Xg8A3ECTiIjIB+n1eqjV6oueE3Dr3FitVlRXVyM8PBwSiUTsckSn0+mQmpqKyspKrvvjRnyfPYPvs2fwffYcvtfnCYIAvV6PpKSkbov79ibgWm6kUilSUlLELsPrREREBPx/HE/g++wZfJ89g++z5/C9trlUi40dBxQTERGRX2G4ISIiIr/CcBPgFAoFli5dCoVCIXYpfo3vs2fwffYMvs+ew/d6YAJuQDERERH5N7bcEBERkV9huCEiIiK/wnBDREREfoXhhoiIiPwKww3BaDQiMzMTEokE+/bt6/bYgQMHMG3aNCiVSqSmpmLZsmXiFOmjysrKMHfuXAwZMgQhISEYOnQoli5dCpPJ1O08vs+usWrVKqSnp0OpVCInJwc7duwQuySfVlRUhMmTJyM8PBxxcXG44447cPz48W7ntLe3Y8GCBRg0aBDCwsLwq1/9CjU1NSJV7B9eeOEFSCQS/OlPf3Ic4/vsHIYbwhNPPIGkpKQex3U6HW666SakpaVh9+7deOmll/Dss8/irbfeEqFK33Ts2DFYrVa8+eabOHz4MF599VWsXr0af/nLXxzn8H12jY0bN6KwsBBLly7Fnj17MHHiRMyYMQO1tbVil+azvv/+eyxYsADbt2/HN998g46ODtx0000wGAyOcx599FF8/vnn+Oijj/D999+juroas2bNErFq37Zz5068+eabmDBhQrfjfJ+dJFBA++qrr4RRo0YJhw8fFgAIe/fudTz2v//7v0JUVJRgNBodx5588klh5MiRIlTqP5YtWyYMGTLEcZ/vs2tMmTJFWLBggeO+xWIRkpKShKKiIhGr8i+1tbUCAOH7778XBEEQmpubheDgYOGjjz5ynHP06FEBgFBSUiJWmT5Lr9cLw4cPF7755hvh2muvFR555BFBEPg+DwRbbgJYTU0N5s2bh/Xr10OlUvV4vKSkBNdccw3kcrnj2IwZM3D8+HE0NTV5slS/otVqER0d7bjP9/nymUwm7N69G3l5eY5jUqkUeXl5KCkpEbEy/6LVagHA8e939+7d6Ojo6Pa+jxo1CoMHD+b7PgALFizALbfc0u39BPg+DwTDTYASBAH3338/HnzwQWRnZ/d6jkajQXx8fLdj9vsajcbtNfqjkydPYuXKlfjDH/7gOMb3+fLV19fDYrH0+j7yPXQNq9WKP/3pT7jqqqswbtw4ALZ/n3K5HJGRkd3O5fvuvA0bNmDPnj0oKirq8RjfZ+cx3PiZP//5z5BIJBe9HTt2DCtXroRer8fixYvFLtkn9fd97qqqqgo333wz7rrrLsybN0+kyokGZsGCBTh06BA2bNggdil+p7KyEo888gj+8Y9/QKlUil2OXwgSuwByrcceewz333//Rc/JyMjAt99+i5KSkh77lWRnZ+Pee+/Fe++9h4SEhB6j8e33ExISXFq3r+nv+2xXXV2N6dOnY+rUqT0GCvN9vnwxMTGQyWS9vo98Dy/fwoUL8cUXX+CHH35ASkqK43hCQgJMJhOam5u7tSrwfXfO7t27UVtbiyuuuMJxzGKx4IcffsDrr7+OzZs38312ltiDfkgc5eXlwsGDBx23zZs3CwCEjz/+WKisrBQE4fxAV5PJ5Lhu8eLFHOjqpLNnzwrDhw8X7r77bsFsNvd4nO+za0yZMkVYuHCh477FYhGSk5M5oPgyWK1WYcGCBUJSUpJQWlra43H7QNePP/7YcezYsWMc6OoknU7X7fP44MGDQnZ2tvC73/1OOHjwIN/nAWC4IUEQBOHMmTM9Zks1NzcL8fHxwn333SccOnRI2LBhg6BSqYQ333xTvEJ9zNmzZ4Vhw4YJN9xwg3D27Fnh3Llzjpsd32fX2LBhg6BQKIR169YJR44cEX7/+98LkZGRgkajEbs0n/XQQw8JarVa2LJlS7d/u62trY5zHnzwQWHw4MHCt99+K+zatUvIzc0VcnNzRazaP3SdLSUIfJ+dxXBDgiD0Hm4EQRD2798vXH311YJCoRCSk5OFF154QZwCfdTatWsFAL3euuL77BorV64UBg8eLMjlcmHKlCnC9u3bxS7Jp/X1b3ft2rWOc9ra2oT58+cLUVFRgkqlEu68885u4Z0G5sJww/fZORJBEASP94URERERuQlnSxEREZFfYbghIiIiv8JwQ0RERH6F4YaIiIj8CsMNERER+RWGGyIiIvIrDDdERETkVxhuiIiIyK8w3BD5ueuuuw5/+tOfxC4DALBu3bpuG/+52zXXXIP333/fY68nFpPJhPT0dOzatUvsUoi8AsMNEXXjzgCSn5+P0tJStzz3hf71r3+hpqYGd999d7fje/fuRX5+PhITE6FQKJCWloZbb70Vn3/+OXx1wXa5XI5FixbhySefFLsUIq/AcENEHhMSEoK4uDiPvNb//M//oKCgAFLp+Y+5zz77DFdeeSVaWlrw3nvv4ejRo9i0aRPuvPNOPP3009BqtR6pzR3uvfde/Pjjjzh8+LDYpRCJjuGGyI8YDAbMnj0bYWFhSExMxCuvvNLjHKPRiEWLFiE5ORmhoaHIycnBli1bAABbtmxBQUEBtFotJBIJJBIJnn32WQCARCLBp59+2u25IiMjsW7dOgBAWVkZJBIJPvnkE0yfPh0qlQoTJ05ESUmJ4/wLW4WeffZZZGZmYv369UhPT4darcbdd98NvV7vOEev1+Pee+9FaGgoEhMT8eqrr16yq62urg7ffvstbrvttm7vzdy5c3HLLbfgyy+/xE033YSMjAyMHj0ac+fOxf79+6FWqwEAFosFc+fOxZAhQxASEoKRI0fitdde6/Ya999/P+644w48//zziI+PR2RkJJ577jmYzWY8/vjjiI6ORkpKCtauXeu4xv4effjhh5g2bRpCQkIwefJklJaWYufOncjOzkZYWBh+8YtfoK6uznHdzp07ceONNyImJgZqtRrXXnst9uzZ062eqKgoXHXVVdiwYUOf7wtRoGC4IfIjjz/+OL7//nt89tln+Prrr7Fly5YevwQXLlyIkpISbNiwAQcOHMBdd92Fm2++GSdOnMDUqVOxYsUKRERE4Ny5czh37hwWLVrkVA1PPfUUFi1ahH379mHEiBG45557YDab+zz/1KlT+PTTT/HFF1/giy++wPfff48XXnjB8XhhYSG2bduGf/3rX/jmm2+wdevWHj/ThX788UeoVCqMHj3acezrr79GQ0MDnnjiiT6vk0gkAACr1YqUlBR89NFHOHLkCJYsWYK//OUv+PDDD7ud/+2336K6uho//PADli9fjqVLl+LWW29FVFQUfv75Zzz44IP4wx/+gLNnz3a7bunSpXj66aexZ88eBAUF4be//S2eeOIJvPbaa9i6dStOnjyJJUuWOM7X6/WYM2cOfvzxR2zfvh3Dhw/HzJkzu4VAAJgyZQq2bt160feGKCCIvCs5EbmIXq8X5HK58OGHHzqONTQ0CCEhIcIjjzwiCIIglJeXCzKZTKiqqup27Q033CAsXrxYEARBWLt2raBWq3s8PwDhn//8Z7djarVaWLt2rSAIgnDmzBkBgPDOO+84Hj98+LAAQDh69Givz7106VJBpVIJOp3Ocezxxx8XcnJyBEEQBJ1OJwQHBwsfffSR4/Hm5mZBpVI5fqbevPrqq0JGRka3Yy+88IIAQGhsbHQc27FjhxAaGuq4ff75530+54IFC4Rf/epXjvtz5swR0tLSBIvF4jg2cuRIYdq0aY77ZrNZCA0NFT744IM+36MPPvhAACAUFxc7jhUVFQkjR47ssxaLxSKEh4f3qPe1114T0tPT+7yOKFAEiRmsiMh1Tp06BZPJhJycHMex6OhojBw50nH/4MGDsFgsGDFiRLdrjUYjBg0a5JI6JkyY4Pg+MTERAFBbW4tRo0b1en56ejrCw8O7XVNbWwsAOH36NDo6OjBlyhTH42q1utvP1Ju2tjYolcp+1bpv3z4AwPDhw7u1MK1atQpr1qxBRUUF2traYDKZkJmZ2e36sWPHdhvTEx8fj3Hjxjnuy2QyDBo0yPHzdH3drtcAwPjx47sd63pNTU0Nnn76aWzZsgW1tbWwWCxobW1FRUVFt+cNCQlBa2vrJX9uIn/HcEMUQFpaWiCTybB7927IZLJuj4WFhV30WolE0mM2UUdHR4/zgoODu10D2Lp5+tL1fPs1Fzu/P2JiYtDU1NTt2PDhwwEAx48fx5VXXgkAUCgUGDZsWI/rN2zYgEWLFuGVV15Bbm4uwsPD8dJLL+Hnn3++ZO39+Xl6e48uPNb1mjlz5qChoQGvvfYa0tLSoFAokJubC5PJ1O15GxsbERsb28s7QhRYOOaGyE8MHToUwcHB3X4BNzU1dZt6PWnSJFgsFtTW1mLYsGHdbgkJCQBs04otFkuP54+NjcW5c+cc90+cOOH2VoKMjAwEBwdj586djmNarfaS08knTZoEjUbTLeDcdNNNiI6OxosvvnjJ1922bRumTp2K+fPnY9KkSRg2bBhOnTo18B/kMm3btg0PP/wwZs6cibFjx0KhUKC+vr7HeYcOHcKkSZNEqJDIuzDcEPmJsLAwzJ07F48//ji+/fZbHDp0CPfff3+3bpMRI0bg3nvvxezZs/HJJ5/gzJkz2LFjB4qKivDll18CsHUTtbS0oLi4GPX19Y4Ac/311+P111/H3r17sWvXLjz44IM9WilcLTw8HHPmzMHjjz+O7777DocPH8bcuXMhlUodLR69mTRpEmJiYrBt2zbHsbCwMLzzzjv48ssvccstt2Dz5s04ffo0Dhw4gGXLlgGAozVr+PDh2LVrFzZv3ozS0lI888wz3QKWpw0fPhzr16/H0aNH8fPPP+Pee+9FSEhIj/O2bt2Km266SYQKibwLww2RH3nppZcwbdo03HbbbcjLy8PVV1+NrKysbuesXbsWs2fPxmOPPYaRI0fijjvuwM6dOzF48GAAwNSpU/Hggw8iPz8fsbGxjl/8r7zyClJTUzFt2jT89re/xaJFi6BSqdz+My1fvhy5ubm49dZbkZeXh6uuugqjR4++6JgamUyGgoIC/OMf/+h2/M4778RPP/0ElUqF2bNnY+TIkbj++uvx7bffYsOGDbj11lsBAH/4wx8wa9Ys5OfnIycnBw0NDZg/f75bf86Leffdd9HU1IQrrrgC9913Hx5++OEe6wWVlJRAq9Xi17/+tUhVEnkPiXBhJzoRkRczGAxITk7GK6+8grlz5/Z5nkajwdixY7Fnzx6kpaV5sEJx5OfnY+LEifjLX/4idilEomPLDRF5tb179+KDDz7AqVOnsGfPHtx7770AgNtvv/2i1yUkJODdd9/tMaPIH5lMJowfPx6PPvqo2KUQeQW23BCRV9u7dy8eeOABHD9+HHK5HFlZWVi+fHm3qdNERF0x3BAREZFfYbcUERER+RWGGyIiIvIrDDdERETkVxhuiIiIyK8w3BAREZFfYbghIiIiv8JwQ0RERH6F4YaIiIj8yv8Hi+7VlRvbom4AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energy_spectrum = nx.EnergySpectrum(experiment = exp,\n", " detuning = detuning_reference,\n", " electronic = True,\n", " id = \"my energy spectrum\")\n", "\n", "intensity = energy_spectrum.Calculate()\n", "\n", "plt.plot(detuning_reference, intensity)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "6fb5a364", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 12.4597\n", "\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 4, Initial cost: 7.762264e+01, Final cost: 1.070671e+01, Termination: CONVERGENCE\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 4.27613 | 3.2 | 0 | 10\n", " 1 | B4C top | 4.69123 | 4 | 0 | 10\n", " 2 | B4C mid | 4.64041 | 4 | 0 | 10\n", " 3 | B4C top | 16.7134 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 12.4597 to 4.62746\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# setup the optimizer\n", "class NexusOptimizer(nx.Optimizer):\n", " def __init__(self, measurements, id):\n", " super().__init__(measurements, id)\n", "\n", " # the defienition of the residual calculation\n", " def Residual(self):\n", " # calculate the reflectivity to find the third minimum\n", " ref = reflectivity()\n", " # get the index of the third minimum\n", " # in case threre is no third minimum due to the combination of thicknesses\n", " if (len(argrelextrema(ref, np.less)[0]) < 3):\n", " return 1e30\n", " min_index = np.squeeze(argrelextrema(ref, np.less))[2]\n", " # set cavity angle to third minimum\n", " cavity.angle = angles[min_index]\n", " # calculate energy_spectrum\n", " intensity = energy_spectrum()\n", " # calculate residual\n", " differences = intensity - intensity_reference\n", " residual = np.sum(np.square(differences))\n", " return residual\n", "\n", "# pass the reflectivity object to the optimizer\n", "opt = NexusOptimizer(measurements = [reflectivity, energy_spectrum],\n", " id = \"opt id\")\n", "\n", "# let's just use a local gradient-free algorithm here\n", "opt.options.method = \"LevMar\"\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "b7e3d004", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 12.4597\n", "\n", "\n", "Calling NLopt solver with fit method Subplex\n", "\n", "Termination: parameter tolerance reached.\n", "\n", " cost = 1.263866e-06\n", " iterations: 278\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 3.39095 | 3.2 | 0 | 10\n", " 1 | B4C top | 8.61354 | 4 | 0 | 10\n", " 2 | B4C mid | 5.48537 | 4 | 0 | 10\n", " 3 | B4C top | 15.4239 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 12.4597 to 0.00158988\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "opt.options.method = \"Subplex\"\n", "\n", "opt.SetInitialVars()\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "83fbdc84", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 12.4597\n", "\n", "\n", "Calling Pagmo solver with fit method PagmoDiffEvol\n", "\n", " population: 50\n", " iterations: 100\n", "\n", " cost = 3.822179e-06\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 2, Initial cost: 3.822179e-06, Final cost: 2.776746e-06, Termination: CONVERGENCE\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 3.35985 | 3.2 | 0 | 10\n", " 1 | B4C top | 8.66606 | 4 | 0 | 10\n", " 2 | B4C mid | 5.40852 | 4 | 0 | 10\n", " 3 | B4C top | 15.6214 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 12.4597 to 0.00235658\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "opt.options.method = \"PagmoDiffEvol\"\n", "\n", "opt.SetInitialVars()\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "3515f6b1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calcualte field intensity inside the sample\n", "field_int = nx.FieldIntensity(sample = cavity,\n", " energy = nx.moessbauer.Fe57.energy,\n", " points = 1001)\n", "\n", "depth, int = field_int()\n", "\n", "plt.plot(depth, int)\n", "\n", "# add lines and labels\n", "axes = plt.gca()\n", "y_min, y_max = axes.get_ylim()\n", "plt.vlines(cavity.Interfaces(), y_min, y_max, colors='g', linestyles='dashed')\n", "for id, location in zip(cavity.Ids(), np.array(cavity.Interfaces()) + 0.5):\n", " plt.text(location, y_max, id, fontsize = 10)\n", " y_max = y_max - 0.5\n", "\n", "plt.xlabel('depth (nm)')\n", "plt.ylabel('relative intensity')\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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 5 }