{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Fresnelova difrakcija na dvostrukoj pukotini\n", "#### Kod je pisan u Python programskom jeziku koristeći Jupyter notebook" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import math\n", "\n", "from scipy.fftpack import fft #paket za FFT\n", "from scipy.fftpack import ifftshift, fftshift\n", "\n", "from mpl_toolkits.mplot3d import Axes3D #paket za 3d plot\n", "plt.style.use('dark_background') # izbor boja za plot\n", "plt.rcParams['image.cmap'] = 'plasma'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "def Fresnel_input(lambd,w,z):\n", " N=1048 #rezolucija\n", " L=5. # širina zaslona na kojoj se javlja difrakciona slika\n", "\n", " lamb=lambd*10**(-6) #(mm)\n", "# w #širina otvora (mm)\n", "# z #udaljenost otvor - zaslon (mm)\n", " k=2*np.pi/lamb # talasni broj \n", "\n", " delta_src=L/N #prostorna frekvencija\n", "\n", " #definisanje ravni ovora\n", " xv=np.linspace(-N/2,N/2-1,N)\n", " yv=np.linspace(-N/2,N/2-1,N)\n", " [x1,y1]=np.meshgrid(xv,yv)\n", " x1=x1*delta_src #(mm)\n", " y1=y1*delta_src # (mm) \n", " \n", " #definisati dvostruku pukotinu\n", " X=np.where(np.abs(x1)-0.15*w)]=1.0\n", " X[np.logical_and(x1<0.15*w, x1>0.05*w)]=1.0\n", "\n", " u1=X #elekticno polje na pukotini\n", " ap1=u1\n", " \n", "# Fourierova transformacija izračunavanje integrala \n", " g=u1*np.exp(1j*np.pi/(lamb*z)*x1**2)\n", " G=fftshift(np.fft.fft(g))\n", " h=np.exp(1j*k*z)/1j*lamb*z*np.exp(1j*np.pi/(lamb*z)*x1**2)\n", " u2=h*G\n", " identity=np.ones((N,N))\n", " u2=u2*identity\n", " \n", " # Intenzitet zračenja (normiran na jedinicu)\n", " \n", " I=1./(lamb*z)**2*(np.abs(u2))**2\n", " I_1d=np.zeros(N, dtype='complex128')\n", " for a in range (1,N):\n", " I_1d[a]=I[0][a]\n", " \n", " \n", " I_1d=I_1d/I_1d.max()\n", " \n", " return(u2,I_1d,y1,ap1) #OUTPUT: električno polje na zaslonu, intenzitet, koordinate ravni otvora i polje na otvoru" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lamb=632.\n", "w=1.\n", "z=20.\n", "\n", "u1,I1,x1,ap1=Fresnel_input(lamb,2*w,30.)\n", "u2,I2,x2,ap2=Fresnel_input(lamb,w/4,30.)\n", "u3,I3,x3,ap3=Fresnel_input(lamb,0.6*w,200)\n", "\n", "I1=I1/I1.max()\n", "I2=I2/I2.max()\n", "I3=I3/I3.max()\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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5evvttyut39q1a8348eP9Ln/fvn1m7Nix3tfz5883b7zxhvf15MmTvf+Xe45wlj+1fOzY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\nOS3JUTxEPCvaWuAG53M6Y9OC6DYSO1gpitI1yZjT0MmTJ9s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MmSRHtgn4MjBmfPtEPxuD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5evvttyut39q1a8348eP9Ln/fvn1m7Nix3tfz5883b7zxhvf15MmTvf+Xe45wlj+1fOzY\nMTNy5Eif+X/3u98FtG6rV682N998s+ndu7dZsmSJ+fjjj83gwYNN//79zebNm+t0Oz711FOVziZ8\n8MEHJikpqVLZ1q1bG2OMSU5ONq1atTLNmjUza9euNc8//7zfZY8fP97s3LnT+7p79+7GGGNatGjh\ns508fUZnzZrl081j8uTJZtu2bT7zZ2VlndJ6nvNHOLOyshQdHe19HRYWpttuu00ffvihJOm7777T\nwYMHNXbsWJ/5oqOjlZ2dXeVye/Toob/97W+6+eabdezYMWsaL+nQoUNavHix5s6dK0nKz89XkyZN\nfMo0adJEeXl5VS7jyJEj3n8XFRXp2LFjcrlc3teSFBUVVWX5iq/Ll63OqlWrdM0116hly5ZyOBz6\n+OOP1adPH3Xo0EExMTH64YcfAlpObf3lL39R9+7dNXLkyGrLZWRkVNoO1a1rbbfjuaDi/iO5P5Ox\nsbGKiYlRTEyMioqK9N577/mUYf85Wf5s2H/y8/MlyWfb1LRdJGn48OH685//rCFDhigjI8M7fsOG\nDcrPz1dJSYnef/99rVu3TkOHDq1yOQ21jRtaxf0rIyNDrVu3rnG+mvavtm3bat68eRo/frzP0fy6\n1Lt3b82ZM0e33nqrt46aPkd1sf/V9F7X5f7Xv39/79mElStXKjExUYmJiVWeXThVtdkunv3htdde\nU1pamjIyMvTyyy/Xav+SpKNHj/qMq4/965wPnFu2bFGXLl28r2+++WbFxMTojTfe0OHDh3X48GEl\nJCRUOq1+0UUX+Rz6Ly8+Pl6ffvqpJk+eXO2Xft++fZWXl1fl0Ldv34DWISgoSB07dpQk7dy5U0FB\nQerUqZN3+mWXXVbtqeOGsmfPHhUWFuq3v/2tVq9erfz8fKWlpWnixIlau3atjDF+53vyySer3W7V\nmTp1qoYMGaLrr7++xrKoWcX9p6Lc3FzNmTNHw4YN8xnP/nP66nP/yc7O1qFDh3xO09a0XQYPHqyZ\nM2dq2LBh+vHHH6tdF2OMbDZbAGvduFTcv5YtW6bBgwcrIiKi2vmq27/CwsK0YMECzZgxQ4sXL65y\nGe3atav2c1LxIEx5PXr00MKFC3XPPfdoxYoV3vE1fY62bt3qMy0iIkIdO3Y8I/e/ioFz1apVAQXO\nH3/8scpt+uabb/qdZ+vWrbr00kt9xl166aV+t0t2drZSUlKq3P/PZOd84Fy0aJFP/6Hx48frnXfe\n0SWXXKIePXqoR48e6tOnj3r06KHu3btLktq0aaO4uLhK/dIkyeFw6JNPPtGHH36oefPmVVv32rVr\nvX1p/A1r1671O9/YsWPVrl07SVL79u31wgsvaPny5ZLcfV7+/e9/69lnn1VERISuvvpqDR8+XLNn\nzz6l7XO6vv7662r7S61atUqTJ0/27qArV670ee3PtGnTqt1uVfn973+vsWPHatCgQcrMzDz1lYJX\nxf2nosjISI0ePdrni5H9J3Bn0v7z/vvv66mnnlLTpk3VtWtXTZgwQe+++67fstdee60+/PBDjRgx\nQsnJyT7TYmJidP311ys0NFQOh0Njx45Vv379tGTJkmq2RONUcf+aPXu2UlJS9Mknn6hr166y2WyK\ni4vTk08+qSFDhkhy3+v2iiuu0FdffeV3mf/85z+1Y8cOTZ8+vdq6U1JSqv2czJkzx+983bp10+LF\ni/Xggw/qiy++qDS9us/Rp59+qu7du+uWW25RaGionnnmGW3ZsqXafuJW6dChg4wx6tChg9/p33zz\njbp27apevXppw4YN2rZtmzp06KDevXtr9erVVS63e/fuVW7T+++/3+88K1eulNPp1G9/+1uFhITo\nf/7nfyTJJ8yXN2vWLD344INq3ry5mjZtqoceesjve3GmOecD5/vvv6+hQ4cqLCxMbdq00YABAzRj\nxgwdOXLEO2zatEmLFy/W+PHjJbn/w3rvvfdUUlJSaXlt27ZVv3799NBDD/n8cvH8B1cXLr74Yn3z\nzTfKz8/XunXr9NNPP2nChAne6Q888IDCw8N19OhRffTRR7r//vu1bdu2Oqu/Ntq1a6d169ZVOX3V\nqlVq0qSJdwet+LouTZs2Te3bt9euXbu878uTTz5Z5/U0JuX3H482bdp4t++BAwcUFxen22+/3Tud\n/SdwZ9L+k5SUpD179ujAgQNatWqVpk+f7g2JnqNhnvfp6aefVkxMjBYtWuR9DxctWiRJCg4O1vPP\nP6/09HQdO3ZMDz74oG666Sbt3Lmzztt8tqu4f5WUlGjgwIHasWOHvvrqK+Xm5mrDhg2Kj4/X+vXr\nJUm//vWvtXLlSh0+fNjvMseMGaObb775lM4GBGLKlClq3ry53nnnHe/yyx/hru5zdOzYMY0YMUIv\nvPCCsrKy1Lt3b40ePbrO2lYb7dq10/79+/1esCi5f5xu2rRJW7duVWlpqST3xUQHDhxQenp6nbal\ntLRUN910k8aNG6fs7Gzdc889uummm7z1Pvnkk979S5Kee+45JScna+fOndq+fbu+//57vfDCC3Xa\nJqtY1qH4TBleeOGFgDsKh4SEmO3bt1e6iIih8pCQkGC++eabBm8Hg7UD+481A/sPg1S7/UuS+e67\n70y3bt0avN1n+/C///u/ZuLEiQ3ejsY02E78AwAAALDEOX9KHQAAAA2LwAkAAABLETgBAABgqaCG\nbkBttQqZrnATpDAFKdoEK8K4VyHPVqqD9jzFmTAFya5ClSrXVqJ4Ey67bIo0wWpqQhRmHMqyFeuQ\nvUB22dTEhKjQVqZ8W4miTIgiTJCCZVcrV7gijUOlMjpiP640e6Gam3BJUo6tRHYjNTEhilCQ4lwh\namGCFCYp1VamQ/bjijRBijZBKpVRic2lpq4gRcmuJjab2jYp0QXt0+V02ZWRGa3cglDFRB1X0yYF\ncrnscgQ5FR1doMjoQsW3PqZW3Q8ovPdBFXcqk73YyF4slcXYVBLrvjFy+M82OXJssmWEqHR3c6V9\nf742rLxCOXkRCgspVVRkkUJCymSzubvrOoKccjnt+mlva23MteuIo1idneFqFSTZbUYlLpucxiaH\nzSjEbuQyNqWVSbscRWrpDNUvm7jU9YLDsjtccpY5JEnG2FRSEqT8gnAdLwlWTHShevX/r1pdvk/B\nndJlmpXIGWNUlOBuQ0iWXUE5Rq5QyRVqU+juIBWtb6+0Hzvo2OF4FeRFKC8vUs4yh+x2l7JzI5WT\nH6YmkcVqFpcnh92lvQebKzU3RLnGKF8uZdvLFGLsCpZNebYyFdjKdKEzUk1k03FJR21lyrSXqFBl\nyrWVyGWTYkyIJCndVqRWrgi1dIUpWDYV2JxKsxepVK5Kn49cW4lcMmrjilSsCdVxm1PZthIV2Erl\nktExW9GJz0awyuRSpu242ruiFW2CJUmFtjLl2Up1XGUqspUpreSx+tp9AtIt+G8ntqNdQbLLYWyy\nyyabpKAKv1FdMnLJyCkjp82oTC6VyqXjNqfK5P582mVTlAlWmHEoXEGKMA5FGodijEORsinKYRQR\n7FJUeJmaRB1XeFiJwsOLFRpWrNCwEkVEFio4tNQ7hISVyBFSKkeQS3aHU/Ygl2x2l2Q/0R3dZZMx\nNrlKHXI5HSorCXIPxcEqyg9XcVGojheFqagwTAUF4crIbKKc/FBlFjp0zCUdtBfrqP24jtgLFGGC\n1coVoQucEWpus6t5WJmaNT2u2Jh8NW+ZqeimeYpsUqDwmAKFRRcpvEWOgpoUyR5zXLboYpm4Erki\njZwRkivcLlew5Axzythd3m1oc9nlOO6QvVSyF7nkKJTsBTbZMkNk8kLlyglTWW64io7G6HheuIpy\nIlWQG6m87GilH4lTVk6UMrLDlH48SOnGpb2OQqXZC1VoK1VLV6RauMLU3hWqeLsUF+FUTFSxmsXl\nKjKySOERxxUWflyh4cUKjypSUGipgkLKFBRS5t62wU7390b5beuyy1Vml8vpkLPMrtLjISorCVZp\n8cmhsCBCxcdDVHw8VEVFoSo6HqLc/DDlFwWpsNSufKdNBTLKsTlVYHOq0OZUkcp03OZU/on9SCc+\nb2HG4fNZdMj9ebTL976eZSfmclX4LJbYXNpaOtmSfeVUXBn0dxXLqVxbiY7bylQil1wyCpZdjhPr\n5DyxT5XanAozQQo1DoXoxGDscsju3RNdkopsZTquMhXYSuWUURMTouYmXFEmWJEmSJEuh8JkU6Ts\ncujkkSanpEIZFcmlQptLBbYyZdiLlWMrVp7NfZeJcBOkCAV7PwJlNqOSE+13yKZoE6KoE/8XR5lg\nBZ9om0tSqVzKshcr58SyWrjCdaEzSm2DpLbxhWrZPFtx8Vlq0faowmMKFBpZLEdIqWQzKjseouO5\nEcrPbKJjac30c2pLrd4bqw1BOTIyuqosVjdc8rPO63xArTofUnTHNAVdkKniC0tVGmOTK7hU9tJg\nBecYhe4IVtneOOXtaaW0XW20f1cHLf6/BH0blCWbbOpVFqN+F2Qpoe0RxbfKUFRcrsKaFCoorEQy\nNjlLglVcEKqinEgdTW2hzGOxOpLeVKnHIpRaJu1w5Ouo3X1D9RgTolhXaKXtkG8rPfF/SanybCXe\n9ylEDgUZ9/vuskmFKlWRrUySFH3ifYx2ud/HCGNXuOyKkE2Ocu+/U1KBXDouowK7UwUn6km3FXnf\np0gTrDAFKdwE+Xx2nCf2kRI5VSKnim1OHbeVKdg45JDN5zNZKpfssilEdoWZIDUxIQqVQ9+V/Sag\nzz5HOAEAAGApAicAAAAsReAEAACApQicAAAAsBSBEwAAAJYicAIAAMBSBE4AAABYisAJAAAASxE4\nAQAAYCkCJwAAACxF4AQAAIClCJwAAACwFIETAAAAliJwAgAAwFIETgAAAFiKwAkAAABLETgBAABg\nKQInAAAALEXgBAAAgKUInAAAALAUgRMAAACWInACAADAUgROAAAAWIrACQAAAEsROAEAAGApAicA\nAAAsReAEAACApQicAAAAsBSBEwAAAJYicAIAAMBSBE4AAABYisAJAAAASxE4AQAAYCkCJwAAACxF\n4AQAAIClCJwAAACwFIETAAAAliJwAgAAwFIETgAAAFiKwAkAAABLETgBAABgKQInAAAALEXgBAAA\ngKUInAAAALAUgRMAAACWInACAADAUgROAAAAWIrACQAAAEsROAEAAGApAicAAAAsReAEAACApQic\nAAAAsBSBEwAAAJYicAIAAMBSBE4AAABYisAJAAAASxE4AQAAYCmbJNPQjQAAAMC5iyOcAAAAsBSB\nEwAAAJYicAIAAMBSBE4AAABYisAJAAAASxE4AQAAYCkCJwAAACxF4AQAAIClCJwAAACwFIETAAAA\nliJwAgAAwFIETgAAAFiKwAkAAABLETgBAABgKQInAAAALEXgBAAAgKUInAAAALAUgRMAAACWInAC\nAADAUgROAAAAWIrACQAAAEsROAEAAGApAicAAAAsReAEAACApQicAAAAsBSBEwAAAJYicAIAAMBS\nBE4AAABYisAJAAAASxE4AQAAYCkCJwAAACxF4AQAAIClCJwAAACwFIETAAAAliJwAgAAwFIETgAA\nAFiKwAkAAABLETgBAABgKQInAAAALEXgBAAAgKUInAAAALAUgRMAAACWInACAADAUgROAAAAWIrA\nCQAAAEsROAEAAGApAicAAAAsReAEAACApQicAAAAsBSBEwAAAJYicAKo1vjx47VmzZqGboaMMerY\nsaMk6c0339RTTz3lnTZp0iSlpaUpLy9PcXFxtV52UlKSZs+eXev58vLydP755/ttk5XOlPekJvv2\n7dOAAQMatA2JiYlKSUmpk2X17dtXO3bsqJNlAY1NUEM3AGjs9u3bp5YtW8rpdHrHdenSRYcPH27A\nVp3Z7r//fu+/g4KC9PLLL+vKK6/Uli1b6rUd0dHRftt0tktMTNQHH3ygdu3aNXRTGpQxRp06ddKe\nPXskSWvXrtWFF17YwK0Czk4c4QTOAMOGDVN0dLR38Bc2HQ5HA7TszNeyZUuFh4dr69atfqez3azB\ndgVQGwRO4AzVoUMHGWN0zz336MCBA1qxYoUkqXfv3lq3bp2ysrL0ww8/KDEx0TvP+PHjtWfPHuXm\n5mrv3r0aO3asd/yaNWs0ffp0ZWZmau/evbrhhhu88zVp0kRvv/22Dh06pNTUVD333HOy2/1/PVx1\n1VXasGGDsrOztWHDBl111VXUG3P9AAAgAElEQVSSpFGjRik5Odmn7EMPPaTPPvtMkjR06FBt2rRJ\nOTk5OnjwoJKSkqpd/0cffVSHDh3Szz//rLvvvttn2qxZs/Tcc8+pc+fO+umnnyRJ2dnZWr58uST3\nkakHHnhAO3fu1K5duyRJM2bM0MGDB5WTk6ONGzeqb9++fusNCgrSnDlzNH/+fAUHB8tut+vJJ5/U\n7t27lZubq40bN6pt27beejyn+T1tkqSmTZvq888/19GjR5WZmanPP/9cCQkJ1a5vdeLi4vTZZ58p\nJydH69ev99YpuU/lT58+3af8ggUL9PDDD0uSLrzwQn399dfKysrSjz/+qGHDhnnLDRkyRFu3blVu\nbq5SU1M1ZcoURURE6Msvv1SbNm2Ul5envLw8tW7dWklJSfrXv/6l2bNnKycnR3fddZfPOkvVn77u\n2rWr9u7dq1GjRkmSnnjiCe823bp1q2666aYq199T99y5c5Wbm6v//ve/uvTSS73Ty78Pkiq1q7wH\nH3xQW7du9b4f9913n3bt2qWMjAx99tlnat26tSRp1apVkqTNmzcrLy9PI0eOrLR++/bt05QpU7R5\n82ZlZ2dr7ty5Cg0NlVT3nwHgXGAYGBgabti3b58ZMGBApfEdOnQwxhjz3nvvmYiICBMWFmbatGlj\njh07ZoYMGWJsNpsZOHCgOXbsmImPjzcREREmJyfHdOnSxUgyrVq1MhdffLGRZMaPH29KSkrMfffd\nZ+x2u5k0aZL5+eefvXV9+umn5q233jIRERGmefPmZv369WbixIneedesWWMkmdjYWJOZmWnuuOMO\n43A4zOjRo01mZqaJi4sz4eHhJjc313Tq1Mm73A0bNphRo0YZSSYxMdF0797d2Gw2c8kll5i0tDQz\nfPhwv9tk8ODBJi0tzXTr1s1ERESYDz/80BhjTMeOHY0kM2vWLPPcc8/5bCeHw+Gd3xhjli5damJj\nY01YWJiRZG6//XYTFxdnHA6HeeSRR8zhw4dNaGiokWSSkpLM7NmzTVhYmPniiy/MrFmzjN1uN5LM\no48+arZs2eLdrpdeeqmJi4vz1uOvTXFxceaWW24x4eHhJioqysybN898+umnp/wZ+eijj8zHH39s\nIiIiTLdu3Uxqaqr3PbnmmmvMwYMHvWWbNm1qCgsLTevWrU1QUJDZtWuXefLJJ01wcLC59tprTW5u\nrnddDh06ZPr27eud7/LLL/e+VykpKT5tSEpKMiUlJWb48OHGZrOZsLAwn3X2N5/ns3355ZebAwcO\nmF/96lfeabfeeqtp3bq1sdlsZuTIkSY/P9+0atXK7/p76h4xYoQJCgoyU6ZMMXv37jVBQUGV3oeK\n70X5Nj311FPmv//9r4mPjzeSzLXXXmvS09PN5ZdfbkJCQsz/+3//z6xatcrnc1R+uf7Wb/369aZ1\n69YmNjbWbNu2zfzmN7+x5DPAwHAODA3eAAaGRj3s27fP5OXlmaysLJOVleX9T8kTpM4//3xv2ccf\nf9y8//77PvMvXrzYjBs3zkRERJisrCxzyy23eEOWZxg/frzZtWuX93V4eLgxxpiWLVuaFi1amOPH\nj/vMM3r0aLNixQrvvJ5wc8cdd5j169f7LPubb74x48ePN5LM7NmzzdNPP20kmU6dOpnc3FwTHh7u\nd71feeUV8/LLL/ud9s4775hp06Z5X3fu3LnWgfPaa6+tdrtnZmaaSy+91EjuQPPZZ5+ZlStXmldf\nfdWn3I4dO8yvf/1rv8uoqk0Vh8suu8xkZmae0ufDbrebkpIS07VrV++4F154wfueSDIHDhww11xz\njZFk7rvvPrN8+XIjyfTt29ccPnzY2Gw2b9k5c+aYpKQk73wTJ0400dHRPnVWFTjLhzF/6+wvkE2d\nOtWkpKSY/v37V7ue33//fZXbOSkpyXz77bfe1zabzScs1xQ4U1NTzV//+lezZs0a06RJE2+5t99+\n27z44ove15GRkaakpMR06NDB73L9rd/tt9/uff3iiy+aN998s84/AwwM58LAKXXgDHDTTTcpNjZW\nsbGxuvnmm32mlT+F16FDB912223KysryDn379lXr1q1VWFioUaNGadKkSTp8+LC++OILde3a1Ttv\nWlqa999FRUWSpKioKHXo0EHBwcE6fPiwd5l///vf1aJFi0rtbNOmjQ4cOOAz7sCBA95ThXPmzNGY\nMWMkSWPHjtWCBQu8dfXq1UsrVqzQ0aNHlZ2drUmTJik+Pt7v9mjTpo3PelesMxAVT+0+8sgj2rZt\nm7Kzs5WVlaWYmBif+q+88kpdeuml+vOf/+wzX7t27bwXjQQqPDxcb731lvbv36+cnBytXr1asbGx\nfrspjB071nvqetGiRZWmN2/eXMHBwdVuj7lz5/ps9w8//FDSye1ojPGZ1/N+jRgxQkOHDtWBAwe0\ncuVKXXnlldWu16lc7T1p0iR98803Wrlypc/4O++8U99//733M9e9e/cqPw8V6zbGKDU1VW3atAmo\nDU2bNtXEiRM1bdo05ebmesdX/DwXFBQoIyOjVqe+y+9XhYWFioqKklS7zwDQGPDJB85w5cNCSkqK\nZs+e7Q2nsbGxioqK0osvvihJWrp0qa6//nq1bt1aO3bs0MyZM2tcfkpKioqLixUfH+9dZkxMjLp3\n716p7KFDh9ShQwefce3bt9fPP//srT8+Pl6XXXaZxowZozlz5njLzZkzRwsXLlS7du3UtGlTvfXW\nW7LZbH7bdPjwYZ8rpNu3b1/jelRUfrv17dtXTzzxhEaOHOldx5ycHJ/6ly5dqmnTpmn58uU+YTsl\nJcWnf2AgpkyZoq5du6p3796KiYlRv379JMnv+s6ZM8d7sdjQoUMrTU9PT1dpaWm12+Ojjz7Srbfe\nqvbt26t379765JNPJLnfr3bt2vnUW/792rhxo2666Sa1aNFCCxYs0Lx58yT5brvyKo4vKChQRESE\n93WrVq0qzTNp0iS1b99eL7/8sk8bZs6cqcmTJ6tZs2aKjY3Vjz/+WOXnQZLP+ttsNrVt21aHDh0K\nqB1ZWVm68cYbNWvWLF199dXe8RU/zxEREWrWrJl3+5yO2nwGgMaAwAmcRT744AMNGzZM119/vex2\nu0JDQ5WYmKiEhAS1aNFCw4YNU0REhIqLi5Wfn+9zq6WqpKWlaenSpfrrX/+q6Oho2Ww2XXDBBd7/\nIMtbtGiRunTpojFjxsjhcGjkyJG6+OKL9cUXX0iSnE6n5s+fr+nTpysuLk5fffWVd97o6GhlZmaq\nuLhYPXv29F7Q5M+8efN011136aKLLlJ4eHiNFxjVJDo6WmVlZUpPT1dQUJCefvppNWnSpFK56dOn\na86cOVq+fLmaNWsmSXr77bf13HPPqVOnTpKkSy65pMZ7fUZHR6uoqEjZ2dmKjY09rfa7XC79+9//\n1tSpUxUeHq6LLrpI48eP9ynzww8/KD09XW+//baWLFminJwcSdL69etVUFCgxx9/XEFBQUpMTNSw\nYcM0d+5cBQcHa+zYsWrSpInKysqUm5vr/bwcOXJEzZo187uNKtY7dOhQxcbGqmXLlnrooYcqlcnL\ny9MNN9ygfv36adq0aZKkyMhIGWOUnp4uSbrrrrv8/sAp74orrtDNN98sh8Ohhx56SMXFxfruu++8\n7Rg7dqzsdrsGDx7scyGdx6pVq3T77bfr008/Va9evSS5w/7dd9+tyy67TCEhIfrTn/6k9evXe496\npqWl6YILLqi2XVWpy88AcC4gcAJnkdTUVA0fPlx/+MMflJ6erpSUFD322GOy2+2y2+2aMmWKDh06\npMzMTCUmJuqBBx4IaLnjxo1TSEiItm3bpqysLM2fP997tW55mZmZuvHGGzVlyhRlZGTo8ccf1403\n3qiMjAxvmTlz5mjQoEH617/+5RN4H3jgAT377LPKzc3VM8884z2a5s/ixYs1Y8YMrVixQrt37/Ze\noX+qlixZoi+//FI7d+7UgQMHdPz48SpPDz///PNasGCBli1bptjYWL388suaN2+eli5dqtzcXL3z\nzjsKDw+vtr4ZM2YoPDxcx44d03fffafFixefVvsnT56sqKgopaWl6d1339WsWbMqlfnoo480aNAg\nn6PKpaWl+vWvf60hQ4bo2LFjeuONNzRu3Djvlf133nmn95TvpEmTdMcdd0iSfvrpJ3300Ufau3ev\nsrKy/H4WJGn27NnavHmz9u/fr6VLl+rjjz/2Wy4nJ0eDBg3SkCFD9Oyzz2r79u3661//qm+//VZH\njhzRJZdconXr1lW7DT777DONGjVKWVlZuvPOO3XLLbeorKxMkvS73/1Ow4YNU3Z2tm6//XYtWLDA\n7zKWLVumu+++WwsXLtQvfvELrVixQk8//bQ++eQTHT58WB07dtTo0aO95adOnar33ntPWVlZuu22\n26ptX0V1/RkAznY2uTtzAgBOw3vvvafdu3dXeTsenLqkpCR16tRJd955Z0M3BcAp4ggnAJwmh8Oh\nrl27at++fQ3dFAA4IxE4AeA0paWlKTs723uxDgDAF6fUAQAAYCmOcAIAAMBSBE4AAABYKqihG1Bb\nR48ePaWnjgAAAKBudejQwe+T6So66wLngQMH1LNnz4ZuBgAAQKOXnJwcUDlOqQMAAMBSBE4AAABY\nisAJAAAASxE4AQAAYCkCJwAAACxlWeB85513dOTIEf3f//1flWVeffVV7dq1S5s3b9bll19uVVMA\nAADQgCwLnO+++65uuOGGKqcPGTJEnTt3VufOnTVx4kS9+eabVjUFAAAADciywLlmzRplZmZWOX34\n8OF6//33JUnr169X06ZN1apVK6uaAwAAgAbSYH04ExISlJKS4n2dmpqqhISEhmoOgEbumCSXpGLL\na5p3oiaXpBLLa3NJclpeCwBUr8ECp81mqzTOGOO37IQJE5ScnKzk5GTFx8db3TQAjVCsJJukYMtr\nGqEVK+xatswu98Peqj4TdLqmyr1OXB0KoKE12PdQamqq2rVr533dtm1bHTp0yG/ZmTNnqmfPnurZ\ns6eOHTtWX00E0IhU/glshWOaO9chSbLbpSVL7JJiLKvt9+X+vcuyWgCgZg0WOBcuXKhx48ZJknr3\n7q2cnBylpaU1VHMAoB7EavRoo+uuK5UkBQdLVkbdoHL/7mBZLQBQs6Cai5yaOXPmqH///oqPj1dK\nSoqSkpIU7P521d///nctWrRIQ4cO1e7du1VYWKi7777bqqYAwBnCJslICpbLJblcnnElkkIsqc2D\n0+oAGpJlgXPs2LE1lpk8ebJV1QPAGWaqJGn5crtsNmn+fOmNN46fmOZosFYBQH3gRy8AlGOTZE3n\nnj+o/DHHoUOlZcvCNHu2TVadVrdV8W8AqG+WHeEEgLONkTuYWXMZj/so5oABRZLCtXy5+8KhFi0s\nqczLs04A0JA4wgmg0Zta4bU1J7g9/TfDJUlFRVJZmZSR4Zlm3R1ACZ0AGhpHOAE0eg/qZByUrP0l\nvmKFZIw0YIBnjOfm73wdAzh38Q0HoNGLsLyGDLkjrcs75qWXpB49JKczRIMHu8QxSADnMk6pA2j0\nPKfQPUc46z76NfHWcN117qOb8fGSwyEF8bMfQCNA4ATQ6HkCpv+H69YFz1dtqXfMXXe5+3AWFVlW\nKQCcMfhtDaDRKx84rbnAxt1DdPHicIWEuG/4PnCgNGiQZ7qRO5Tm6uTRUAA4d3CEE0Cj5wmYrmpL\n1R1z4lDqsmXu4eSx1fA6q+OofC+EAoCGxBFOADihTFKwhcu/4Qbf13bvT/4yuXuS1t0xgKg6WxIA\nnD6OcALACZmWLdX/scaSEqm4WJIWqq5P5nuOJpTvJjCvzpYOALXDEU4AjVKepIOSuulkHGwnK06r\nR5/4a7RsmfuoZlGR9KtflT/iObLOa/YXXa8/8Tdf0qITtQJAfeAIJ4BGKUrSRfVSk+dr9mSgPH7c\n/XfpUmn5cmtq9XflfajclyVFSrrVmmoBwC+OcAJodPJP/K3fW60f0cCBvmP834Nzqio/bLP2yl8I\n5fm3Q3zpA2gYHOEE0OiE1mtt5U/Y+yoo8PThlE72tHyiTmsvKfdvm/jSB9Aw+LELoNEpH7r212O9\nK1a4/153nfvvsGHlp3pOftftdfI/SbrsxL9t4gGaABoGgRNAo9aqwmvPLdj3SzqvjusyRrKVS3yL\nF0vBwVJ+vjR8uOfWSHUTCT3HVX8pqbjcOABoCJxdAdDolA9ejirKxNdJTSkqf0ukAQNOHt2U3H04\n7XYpPFySfpRVzzly+hnHbZIA1CcCJ4BGrap4VzcntltUO/XoUfctkrZskdzHIq1R1ePa+1tWIwD4\n4pQ6gEbN06/R04PS87dufo17jp+6b4lUsQ/n2LF1UkmNXpOUpMrhOqJ+qgcAjnACaJw8wbLi/Sor\njj89nqWUnay33I0xFyxw34dzyZI6qaxKU+V7P07PvzniAKC+8H0DoNGq/LBJ/+NOnefY6XpJvv03\nJSkszN2Hs/L9OOfJqucAlT+ayxEHAPWF7xsA0MkQ5nkeUN1eutPf79iFC91XqO/YUb4VNknD/Jav\na1y1DqC+cIQTAMoplnU3hl+xwn1KfcAA9+s33nAPJ9XNye79cofJmp7OTuAEUF84wgmgUSv/CEhJ\n+t6ievr3d/81Fc7ZL18uffWV55XnBkan99XcvIrx/p6vDgD1gSOcAKCTj4DsL9/nj5+6qT6vVq50\nDxXZbJLDezPQPEnNTrvmmm7pROAEUN8InAAaPSPppTpf6qMK5MR2drbnPpyS+3bzpx93azqS6VRd\nPtMIAGpG4ATQaJV/rs/UOl96SLla3Lc+Cg6WXC5p4MCTpW65pc4r9hs4y69rWbnWAUB9oA8ngEar\nbu+5WZHn69Vdi/NE90xXhQOey5e7h7rkWZ/yj7Qsf5/R43VbHQDUiCOcABqVeTp5ojvoxF9r+jT6\n3vR96NAqSll4Xrt8sCyWFC73+v6fpETrqgWASgicABqVvhVeW3eax3OL9a3VltqzR5owwZqaZ5Qb\nF1mhTN1cGAUAgeGUOoBGpTbPD59aJzX+UpK0bJn7PpwVH2NZOWx6elvmnXbNU097CQBQNwicABoV\nR81FvJHvoTqs19N3s6TEd/yyZRX7cHpO8Ft1+3kAqH+cUgfQqAQSOD3C6rDe66/3P95e6Wc/TzoH\ncO7hGw1AoxLIl54n8tUmnNbE86Ship59VrruuvJjyk78pYclgHMHgRNAoxJIjDv92yVt1clLd9ye\necbdh7Ni8Kz89KG9p1wrAJypLA2cgwcP1o4dO7Rr1y498cQTlaa3a9dOK1as0KZNm7R582YNGTLE\nyuYAQEDPE/fcKvPUA+cFlZd5YqEVA+ZXX7mD6Ouve8Z0k+9t2gHg7GdZH0673a7XX39dgwYNUmpq\nqpKTk7Vw4UJt377dW+app57SvHnz9NZbb+miiy7SokWLdP7551vVJAAISIlO90k8nq/Wk7G2/NOF\nyvP04UxIOK0KAeCMZlng7NWrl3bv3q19+/ZJkubOnavhw4f7BE5jjJo0aSJJiomJ0aFDh6xqDgBI\nCuy44X91ujdG99Ry8rFCM2dK338vvfGGb8kBA06rokqOKpAnuANA/bLslHpCQoJSUlK8r1NTU5VQ\n4Sf81KlTdccddyglJUWLFi3Sgw8+aFVzACBg/XW6J7U9cxZ7x3TsKN166+m0KjDR1lcBALVmWeC0\n+XlemzG+vabGjBmjd999V+3atdPQoUM1e/Zsv/NNmDBBycnJSk5OVnx8vFVNBtAIBNKHs25qMSof\n/1wuyfipdMkSdx/OxYv9LWdlrWv2XFlv7foBQO1Ydko9NTVV7dq1875u27ZtpVPm9957r2644QZJ\n0nfffaewsDDFx8crPT3dp9zMmTM1c+ZMSVJycrJVTQYAy1TVh9Ph8P3rZuQ+HtCz1vVw6xEAZyLL\nvpuSk5PVuXNnnXfeeQoODtbo0aO1cOFCnzIHDx7UgBMdmC688EKFhYVVCpsAYIX6PgI4f767H2dF\nAwe678M5aFD5sZ7WBZ9yffThBHAmsewIp9Pp1OTJk7VkyRI5HA7985//1LZt2/THP/5RGzdu1Oef\nf64pU6Zo5syZevjhh2WM0V133WVVcwCgQcXFuYfAnPrThjxdBpy1nhMArON7Z+KzQHJysnr2rP1p\nJgCQ3EHMLvetj6p7WrnnCOGpnQaqPPfy5e4+nBVPrX/xhRQRITmd5Y9yFst9YyaXavu8I8/6ZUiq\nrsf76a0fALgFmst4ljqARinQX9rzJI2sg/qquv2Rp++m7/WS+ZICPhzqw3MUgcsrAZxJCJwAGqWa\n+jh6LtsZXOsl58jfnTA//1zKzpbuvNO3tP8HrDU7MT9PGwJwbiBwAmiUAr2opvZPHArzOzYy0j0A\nQGNE9x0AjVJZgOVq14Oy/By+J+2NcffTrOiBB9z34Vy2rNYVAcBZg8AJoFE6XsN0T1ys/Untyo+1\nlNx9OH1vfeTmedSln2deAMA5g1PqABql1Bqmn3rg9Dj5WMsHHpCGDZOysqSxYyuXvO66U67klHn6\nqK6U+1GeAGAljnACaFQ8AfKXNZQ79fvFea4T/6t3zK9+JYWFSS1bnsry5p1ySwLRxdKlA4AbgRNA\noxNImPScED/1I5xTvf8qKHA/S72sio6jK1a479Ppy5yofegptyAQ/i9xAoC6xSl1APCjTNXfGL42\nRgZwI8/KfTg9sbj218nXxqk/PBMAAkfgBAA/8iXV1V2MZs+WmjeX0tMr34dTqqoP56k/3rI2an8V\nPgDUHoETAPxopbq79XqrVlJQkNS6dW3mqv1J/f3yd8v56nFxPID6QB9OALBYcbG7D2dxsf/py5e7\n+3H6Kqp1Pc1qPQf/CQCoHxzhBIA6kyl/xxhvvLH6ufzfg7OpanuMlf6YAM5UBE4AqDP+e30uWCCF\nh0u7d0v/8z+Vp9fVfThrc3r89O8zCgCBI3ACQJ3xnKD2vfFSdLRkt0sdO1pbuyc81uYeogROAPWB\n7jsAUGf8P9aytNTdhzM72/9c/vtwnnrtAHCmqTFwXn311QGNAwB4Ip/TZ+wNN7ifpT56dP3UzhFO\nAGeaGgPna6+9FtA4AIBHls+r//xHWrq06tIDBtT/89RP/dGdAFB7VfbhvPLKK3X11VerefPmevjh\nh73jmzRpIoeDWwUDQGWe56i38RkbHl7Vleg1MXIfF9gv6byAavfMBQBnkioDZ0hIiKKiohQUFKTo\n6Gjv+NzcXN1666310jgAOBeUlkrV/U5ftsx9UdHPP/t/EpHUslb1BXLjd0IpgPpUZeBcvXq1Vq9e\nrXfffVcHDx5URESECgsL67NtAHBOGDy4+umeo58RERWneGJh7c4q1eZJQwBQH2rsw9mmTRtt3bpV\n27dvlyRdeumlev311y1vGACcK5YsCawP54gRFaec2vPUSwIow304AdSnGr/FZsyYocGDBysjI0OS\ntGXLFvXr18/yhgHAuSI42P0s9dqr/fPUJamKuy/54JQ6gPoU0Fdgamqqz2un01lFSQBARWVl7j6a\nVfnqK3cfz9LSiqffiyWFBFyP55Kl8wIoy2l3APWpxiOcKSkpuuqqq2SMUXBwsKZMmeI9vQ4A5zIj\nd4jbGlDpQzoZ+Xxdf700cOCptODlcq2oWwROAPWpxiOckyZN0quvvqqEhASlpqZq6dKleuCBB+qj\nbQBwRmgdUKnYKqd4+m9ef73/6YMGVTXnVEnPBFR7bZVZslQA8K/GwNm1a1fdcccdPuOuvvpqffPN\nN5Y1CgDOJIGd1PZ8nVY+wnlq/TetFciFRQBQV3jSEADUILC8WPVt18vK3ENVFi92P0t92bJTaNwp\nSq+/qgCAJw0BQE0C60HpKVW5d2RVp9I9jPH9Wx+6yareoQBQGU8aAtBorJQ7YAV6wcyp3auyqNKY\nZcskp7PqG8APGVKrCuoMt0YCUF8CftIQAJztupzifIEf4TSSmlaaYrdXf1ukwKyU1P90FwIADaLK\nwPnKK6/o4Ycf1t/+9jcZP+d5hg8fbmnDAKCuhTVQvU6n5KrmsOrcuVKLFu5T6gMGVJxq5O5u/0vr\nGggAFqsycM6ePVuS9NJLL9VbYwDASsGnON/p9nOs+rZHbqmpJwNn1QK/ATwAnGmqDJybNm2SJLVv\n314LFixQfn6+d9qvfvUr61sGAHWstpc71kUfx/79paeecl+lfsMN/ss8+mggrTjtc/IA0GACui3S\nmjVrdOGFF3rHPfvss5Y2CgCsUNvIVheB84EH3I+tDD7Vw6s8EwjAOaDG7999+/bpnnvu0fz5871X\np9ts3EgDwNmnIb65Vq50PyP9+PHqy61Y4R4qKz3xl+9dAGevGgOnMUbff/+9EhMTNXHiRE2fPj3g\n+3AOHjxYO3bs0K5du/TEE0/4LXPbbbdp69at+vHHH/Xhhx/WrvUAUAtV35rdv8Bvi7RRVT1H/Y03\n3PfhDKQnkv8+nNtrnhEAzgKmuuGLL77w/ttms5m//OUvxul0VjuPJGO3283u3bvN+eefb4KDg80P\nP/xgLrroIp8ynTp1Mps2bTJNmzY1kkzz5s1rXG5ycnKNZRgYGBj8DSWSMZIpC7D88RPlnTWWLTDu\nopW/G//9b5lly2QWLTqdtrtODNWXc50YAl1ubcszMDAwVBwCzWU1HuG88cYbvf82xujxxx8P6Ahn\nr169tHv3bu3bt0+lpaWaO3dupVspTZgwQa+//rqys7MlSenpPGwNgHVqe1LaGXBJTwdNU2lKVJS7\nD2cIF5kDaMRqfERw586d9dhjj6lDhw4KCjpZfEDlm8X5SEhIUEpKivd1amqqevfu7VOmSxf3bZjX\nrl0rh8OhqVOnasmSJbVaAQCwSuCBs+rf7ocOSW3aSIWF1S/B03/zuusCrhQAzho1Bs5//etfeuut\ntzRz5kw5nYF//fq7sKjiDeSDgoLUuXNn9e/fX23bttWaNWvUvXt35eTk+JSbMGGCJk6cKEmKj48P\nuA0AUF5tj3AelxRdY8U/pgoAACAASURBVKnyS658RflddwVWV30+Rx0A6luNgbOsrExvvfVWrRec\nmpqqdu3aeV+3bdtWhw4dqlTmu+++U1lZmfbv36+ffvpJnTt31saNG33KzZw5UzNnzpQkJScn17ot\nAFBeoNkuXVLzWi25pNKYRYuk0FApP1+q7gFtNZw0Coj/y5YAoOHV2Ifz888/1/33369WrVopNjbW\nO9QkOTlZnTt31nnnnafg4GCNHj1aCxcu9CmzYMECXXvttZKkZs2aqUuXLtq7d+8prgoA1K1uJ/7W\nfGTUE/UWVZoSEuJ+jnp4eJ02rZKtJ/4SOAGciWo8wjl+/HhJ0mOPPeYdZ4xRx44dq53P6XRq8uTJ\nWrJkiRwOh/75z39q27Zt+uMf/6iNGzfq888/15IlS3T99ddr69atcjqdeuyxx5SZmXmaqwQA1atN\nKKtdgBtZaUxmphQTIx0+XP2c1ffhNHIfH8iW1NTv/C1r0UoAqG9n3RmY5ORk9ezZs6GbAeAs5JQ7\ntpVICg1wHk+vzOpPBwVWqjrLl0s2W1WBs+aW58rd39SlwB/hefqtBtDYBZrLajzCGR4erkceeUTt\n27fXb37zG3Xq1Eldu3bVf/7znzppKADUt/r8lb10qfu2SCn/v713D5OiOhP/P9Nz4w6OqCigiDFe\nko0a0WC8MIEBBOUS5UtYs7u6JiRZzKp5YiIxT8xoshvXsLobg+a3JhufEH0IDyCiwMBcGEBXzYiA\niqggKIMEuTnc59Z9fn+8dab6Ut1d3dPdc3s/z3NmuqtOnTpVp7rqrfe8l/rEDkSJbThtj+OLhqnm\niVcURcklSV9s//jHP9Lc3MxXv/pVQBx9fvnLX2a9Y4qiKNkilwJnfr7YcPb35+4eB9vj+NakKnAq\nitKZSSpwXnDBBfz617+mpUXy+TY2NmoudUVRujSxwYuyx2efQVMTPPFE4nrV1fFyqYMbETT+vVfv\nyoqidGaSTqk3NzfTq1evthiaI0eOpKmpKesdUxRFyRa5FDhnzPBXzxix4fSmgWRuQanmiVcURckl\nSQXO8vJyKioqGD58OH/+85+59tpr+ed//udc9E1RFCUrxEbLbA8NiLjnLcZWVsqUerI4m2VlidYO\ncdpXPaaiKF2TpAJnZWUlGzduZPTo0eTl5XHPPfdw6NChXPRNURQlKyTJMpkivRKuzc+RcaWKooqi\ndGaS2nBWVVVx+PBhVq5cyYoVKzh06BBVVVW56JuiKN2c3wDLPZZ/E5ka3hhnu8uBE8DwOOuT8Wqa\n23ljJUrvyezDh+HUqeStWBvOlbGx432Re4EzfPTOQ44/vBwAaoEJUdu1d/QURemKxNVwFhcX06dP\nHwYPHsygQYPaHIUGDBjAOeeck7MOKorSPRkJfBf4qse6253/Xwa+CLwTtX4zUAn8ArgjhX3awMOx\n4dnbQ2LrSb82nKGQaEMd/8y0SdWGMz1BNd7o/TuuEHoW8H3gJeB64HVnebqjpyhKVyauwPnd736X\ne++9l3POOYeNGze2CZxHjx5l/vz5Oeugoijdk3uBLcRqMYcCY4EVwE2I8PkjYvn/gBeAnwBJkvhk\nGSuyBT3XVlWJM1AyG87x4zPbKz8YpPdbcdN4+iPe6O3EFSxBBMvPgK9HLe88o6coSm6IO6X+m9/8\nhpEjR3LfffdxwQUXMHLkSEaOHMnll1+uAqeiKO2iCPgH4DmPdf+ITFKXAy8j0+teN6o1SHadO7LS\nw3Q46rk0EEjkfZ550vFSPz2l2olGL5pGoAUojFre+UZPUZTsktRp6Le//S3XXHMNI0aMoKDArb5g\nwYKsdkxRlO7LaOA0YIPHun8C3gXeAP4E/A9iBVgRVS+I2GLeCPwqaz31g52oP9Nz7f790CuxXxEg\nmtBAAILBeNpOm099O3ChZy9srVTx0b0wEo1eANem9UxEN90LWBJVr/OMnqIouSGpwPmnP/2JCy64\ngM2bNxMMypSRMUYFTkVR0mY0EuTnrajlVwOXIBOtAH8B/huZVo8WOAE2ISKNFfk6I7Nm+avX2gpF\nRSJwJmZowrXpnIekD4II4o0eyOvB/4R9bwS+A/yfR92uMHqKomSKpPeZUaNGcemll+aiL4qi9BDO\nQSZUo/1jbkd0X392vh9FLP2mAQOInbQ+gOjPSoDOGqytulqCuieOswk33pisJSuUJb5tpxPUPmm4\nkgjijR6II9ALzucSYAoigJ5EXh/C6QqjpyhKpkh6n3nnnXcYMmRILvqiKEoPoRcQna+sCPgGMtF6\nDBjolOeB3nh7lttoQ72z082MkJcnU+V+KS2Nt8YKnIkbS6og9SA1gdNr9CwfI45EGxGHobuB1cB/\nedTtCqOnKEqmSKrhHDx4MO+++y5//etfI1JaTps2LasdUxSl+3IIsQIMZwrivHIdkrsnmtuB30ct\nK3H+H8xo7zLLhx9C377J61VUQHGxhEeqrfWqYXWXiT2Q0smilJpPk9foJWIrEm/gTGB/2PKuMHqK\nomQKX6ktFUVRMsl7iEZzKPCJs+x2JBz4VGK1dLcD/4xEf9wZtvx8YDdiKdhZmT3bX72TJ5PZcDYj\nZy0xh/12DFdnmprA6TV6ifgSohE9ErW8K4yeoiiZIqnAuX79+lz0Q1GUHoS9q1yNTJmfgfgr/xmo\n8ai/DxE4/wkJl2T5SlhbHcMbJMqjDv5tOG+5Jdm+VgEziCce2qXPJmum3USPXjgjkVEB0YJOQUZ2\nPrHT8B0/eoqi5I64pjsbNkjIi6NHj3LkyJG2Yr8riqKky8dIGPApzvdvIpEa/zdO/feBVxCB0zIM\nuAxYmKU+hpNHpKDrcnHybVOw4Zw/X4o3yfMjGeL1MzGpaTijRy+cB4DXnLIQ8WifA9wTVS+Xo6co\nSmchOgFupy51dXUd3gctWrS0v9wOpgFM7zS3/zGYXWACKWwTckoq+wmCMWC2e65vNrI6GHf70lJM\neXny/ZSWYtauxVRXJ6oXckpmjq3VObaWlM//7QYaDPROc/x/bGCXgUC7riEtWrR0fPErl6XmnKgo\nipIhFiAWgHPS2LYY0Zk9SHphgNKhxHNp8nDrtbXgxxS+tlYchkK5OqAwUk+E1NVGT1GUjia1eL+K\noigZIgTcCXw5jW1HIAHhc5l+wttdx4pq3oLTggUwdGii7EGRJMu3nmnii8nJ6GqjpyhKR6MCp6Io\nHcbrTkmV94FHM9yXZOR7LrUCZ6vn2tOc6EF+bTgXLpS6M5Oba3YCutLoKYrS0ajAqSiKkoTaRUA/\nYHK8Gt7hgW6+ObX9nOmdjt0X69Yg8q8PTaolfQ2noihKaqiXuqIoSjJKkAQ7Mdg84BdmZDfGJLPh\nNM4+PULj50uJ7+Uen9RtOBVFUVIjrobz+uuvB2DAgAE564yiKEpnw0CbRDZvHtx3n/9tV66EXr2g\npQUmTkxe378Np0c6yBAQgAMH/PdPNZyKouQKX1PqgUCAs846i4ICt3p9fX3WOqUoitIZWLwYNpQA\nIbhuHHwtxe0LC+V/vrcBaAxLl0JBAUydGq+GFREjJ6eqq4EgjEmxjypwKoqSK5IKnN///vf5+c9/\nzqeffkrImesxxnDZZZdlvXOKoijCIuAWRNX4KXBOTvbav3/k92eegTvu8L+9H8/0cAYNSlbDioju\nJPjy5a5T0rpVUFWYPKuRJTNBiZqR+fxmPDWviqIo+BA477nnHi666CIOH04lQ6+iKEqm+Ag4F1fI\nGgIcR7x4ssvEieJ/ng/U1kgvsknyGJxB5LbtCpxTp8KyZTAQYEACw/w4rbWPIO4ei5Gzpb6oiqLE\nkvTOUF9fr05CiqJ0IFbYDCEavgDQJ2d7N2EfUp2CXrNGpsgbG2FyXA93l+SayQbgrJil06fL2Vm3\nGoIpSJztEzhbkLEwuIJmADhJLsdHUZSuQVKBc+fOndTW1rJixQqampralj/++ONZ7ZiiKAo0Ov8N\nbiRMq1VrQTKwZ4+aGngZKB0L14+LvmHuxRWEvbFT3X5tOJctg6KiRMLpEGd/roazqkrytTMOxkxM\nTcN5Ekczmhb5yLjsd/rVhIyHpzu/oig9nKQC5+7du9m9ezdFRUUUFXnn2lAURckO9p7TGLZsLzCU\neKHYE2GDGKXLwoVw6BDcdRfAaUnr+7WltKQTFCQ8qPy6Z6BqmGQ28uMVvxc4O/VdIsK+FbaHOMuK\ncYXvU6g9p6Io4SQVOJcvX87mzZtz0RdFUZQwwk15wqdoh+NqORvxq1F7w/mfisA5dqzo7QA2VMFZ\n+XD66XatFXgz5+sdDPrPSmQZO1YEYQBOE21qns/AmqNwI3umhtVu7o1a3oQInsUpt6goSvcm6a3t\nscceY9u2bTz88MNceumlueiToigK4hSUh3fayGbnv/8p9WFp9qJNnGwUp55gm+FjILpGDFVVMi2/\nwGfa8PHj08unPmuW82EatLbCsWP+t01dXN4X9nl41LpwreailFtWFKX7klTDOXbsWM466yxmzpzJ\n//zP/zBgwAD+8pe/8G//9m+56J+iKD0WOwHuZcrTm2hbxmSkalm4erXE0Xw1BKVlcMPN0ZP4dt/x\nbTitpjHo0ztn2TLo3dvfdLilpsZpfzyMAQIphmJKnTOI/yIArmPXLdnuiKIoXQhfkzeffvopTzzx\nBN/73vfYvHkzDz74YLb7pShKj+YUyS0u7WRwU4I6LmkH6wmTJxcvFqEwkvj7HzdOprz9xu7s31+c\nhubN81d/yRL5Hz4NX1kpmtXsYcclntKhHlfoVBRFEZLegy+++GK+8Y1vMGPGDA4dOsTChQv54Q9/\nmIu+KYrSY7FazXhaNBDHlWL8ipKpij9Wy3gobFlJSXgNK3hVpNhyfKwm9PjxRLWsMLedW2+VHO6l\npW6GIb8e8ekRPk1eHqfOCDIVUl5RlO5D0nvwH//4Rz777DMmTJhAaWkpv/vd7zjgM1nvxIkTee+9\n99i+fTv3339/3Hq33norxhiuvPJK/z1XFKUbY4W5RM4nvUjF5SVdfVu4OaQxXsHZZ8bdtrpaprz9\nMmGCaEXLy/3UHtr2qbbWXdrUBKdO+d9nanwdf77+dlyak9RTFKWnkFQ1cM0116TVcCAQYP78+Ywf\nP549e/ZQV1fH8uXL2bZtW0S9fv36cffdd/Paa6+ltR9FUbob9Wls8wbicx2fVD2xraD4zFj4ubMs\nVYcev97ilqVLoV8/+PhjmD07Xi0r7BVQWel4pR+DvGmiV5w0KbV9poYV25NJtCeBvqQTukpRlO5J\n3Jf+v/zlLwC89dZbbNmypa3Y78m4+uqr2bFjB7t27aKlpYWFCxcybdq0mHq/+MUvePTRR2lsbPRo\nRVGUnsfZJAuo7mIdhy5LWtPKfn69so1TsRxXX7doEVSkMIM+dqwUvwwcKI5K5ybMoWmPIODaboYJ\ntqtWiWb1xRf979c/VruZLK2oTUKfesAlRVG6J3E1nPfccw8AN998c1oNDx06lPp6V1OxZ88evvKV\nr0TUufzyyxk+fDgrVqzgvvvuS2s/iqJ0N2y6RD8pdZsRj/XkE+apij5e2szBg1NsJEWam0XgTGzD\naQXxvLY+NoStLSwUJ6JeGU/4U57mdtuBCzPYD0VRuiJx79L79kmstTlz5rRlG7Jlzpw5SRvO85hL\nMsZErH/88cd9OSDNnj2buro66urqGJztO76iKJ2E05NXoQ/phi5Ph2DQ1Xz6IVUbzkmTJDvRrbcm\nqhVrFxmuOfjb3+DkSXj+ef/79cdPSC1Xk9U+j8h0RxRF6aKYRGXjxo0xy7Zs2ZJwG8CMHj3aVFRU\ntH2fO3eumTt3btv3AQMGmAMHDphdu3aZXbt2mVOnTplPPvnEXHnllQnbraurS7pvLVq0dNWy10DI\nKX638Ve/FYwB0+Kz3ZoaTHW1fA45JdX91tRI8XssCxdi1qzBLF2aqN6itn1XV0sfTznHFkzjnHsf\nm1cJGtlNk8+2G5x+BnN8DWnRoiWXxa9cFndK/Xvf+x5z5sxh5MiRETab/fv355VXXom3WRt1dXVc\neOGFjBgxgk8++YRZs2Zx2223ta0/evQoZ5xxRtv3tWvXct9997Fx48akbSuK0l05E9GK+YyUDsi9\nLIDf/N3GR4vWSzxam/n002JfeewYzJiR3M40FftNkLSZBQXJcqrPbNuvnUiK1u9WV0vfU83lnhir\n3fyVz/qDSDU4v6Io3Ze4Audzzz3HqlWr+NWvfsXcuXPblh87dozPPvssacPBYJDvf//7rF69mvz8\nfP73f/+Xd999l4ceeog33niDF7Nj0a4oSpfG2m82JKsYRsjZLnGay1SchuKFJRoxQgTCQYN8dy4l\nTpwQL3W/PpRWoI0OPZ+Xl7qHvH/K09hG7TgVpafj2yDnjDPOoFeYFXq4Q1Auqaur46qrruqQfSuK\nkm2sxjCVqJn1uDEp428XdNY2kXqaS9ur5cskG1BTE0yebJxW40eXq6kRTWM6+dH99UiOtxkRt21v\nXngBNm3yF8/T3xk/CNio96mMTSsSGqmVVPLeK4rSdfArlyWNw3nzzTfz2GOPcc4557B//37OO+88\ntm3bxhe/+MWMdFRRFEUoT3O74aSS2cbPZH1VlXh6B4MwPiw3+fTp9pPNgJT8fT0VTeP8+fD5z4u3\n+k03Ja9vBdq8KIHWIwJdOxlE6qYOkEoUAUVRujdJ7wK//OUvGT16NB988AEjR45k3Lhxvmw4FUVR\nUiNVL+j0aPFRx2YTavGovGYNrFpl39UTC2CpxuE87zyZsvcT0qi0NP7tu6pK7Dgzh5WaU42XnNso\nAoqidF6SajhbWlo4fPgwgUCAvLw8amtr+Y//+I9c9E1RlB6FvR0lyp8eD+s4dJxkQcmPJVwrTJgQ\nf11BgRThqK/e+eXjj+Gii7wF3Whqa0PU1orQGa1vDWRcoeg34LuiKIo3SQXOhoYG+vbty/r163n2\n2WfZv38/ra3pPBAURVESYYWaF9LY1opayVWDf0ij9XBCIasBNYhXfXxSteG86y6/vbACdgMy3R3J\n7t3wzDN+28o2tq/HcDMQKYrS00g6f9WnTx8aGxvJy8vjm9/8JgMHDuTZZ5/l8OHDOepiJOo0pCjd\nlXQchixHgAFOG975u1Np3QZrt9Phsdv6ay0dp6HKSrEdvfHGRLWCrFmTT0EBtLbC2Aly1C1Akf9d\nOS3JUTxEPCvaWuAG53M6Y9OC6DYSO1gpitI1yZjT0MmTJ9s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MmSRHtgn4MjBmfPtEPxuD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PLOTANJE relativne veličine otvora, difrakcione slike i intenziteta zračenja\n", "fig2=plt.figure(figsize=(11,10)) \n", "\n", "ax1=fig2.add_subplot(4,3,1)\n", "plt.imshow(np.abs(ap1))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.axis('off')\n", "\n", "ax1=fig2.add_subplot(4,3,2)\n", "plt.imshow(np.abs(ap2))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.axis('off')\n", "\n", "ax1=fig2.add_subplot(4,3,3)\n", "plt.imshow(np.abs(ap3))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.axis('off')\n", "\n", "\n", "ax1=fig2.add_subplot(4,3,4)\n", "plt.title('(A) z = 30 mm, w = 2 mm')\n", "plt.imshow(np.abs(u1))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.axis('off')\n", "plt.xlabel('(A)')\n", "\n", "ax2=fig2.add_subplot(4,3,5)\n", "plt.title('(B) z = 30 mm, w = 0.25 mm')\n", "plt.imshow(np.abs(u2))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.xlabel('(B)')\n", "plt.axis('off')\n", "\n", "ax3=fig2.add_subplot(4,3,6)\n", "plt.title('(C) z = 200 mm, w = 0.6 mm')\n", "plt.imshow(np.abs(u3))\n", "plt.xlim(324,724)\n", "plt.ylim(460,588)\n", "plt.xlabel('(C)')\n", "plt.axis('off')\n", "\n", "ax4=fig2.add_subplot(2,1,2)\n", "plt.title('Fresnelova difrakcija - dvostruka pukotina')\n", "\n", "ax4_1=ax4.plot(x1,np.abs(I1),'r-')\n", "ax4_2=ax4.plot(x2,np.abs(I2),'b-')\n", "ax4_3=ax4.plot(x2,np.abs(I3),'y:')\n", "\n", "ax4.text(-0.6,0.5,'(A)', color='red',fontsize=16)\n", "ax4.text(0.4,0.5,'(B)', color='blue',fontsize=16)\n", "ax4.text(0.05,0.,'(C)', color='yellow',fontsize=16)\n", "\n", "plt.xlabel('X(mm)')\n", "plt.ylabel('Relativni intenzitet')\n", "fig2.savefig('Fresnel_2slit.png')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }