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@piti118
Created October 25, 2013 23:58
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Effect of index of reflection on transmission coeff
{
"metadata": {
"name": "Transmission Coefficient"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "from math import cos, sqrt, sin, pi\nfrom scipy.integrate import quad",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "#Fresnel's law\n#http://en.wikipedia.org/wiki/Fresnel_equations\n#n1-->n2\ndef rs(n1, n2, theta_i):\n if n1/n2*sin(theta_i) > 1:\n return 1\n cos_theta_t = sqrt(1-(n1/n2*sin(theta_i))**2)\n ret = (n1*cos(theta_i) - n2* cos_theta_t)/(n1*cos(theta_i) + n2* cos_theta_t)\n ret = ret**2\n return ret\ndef ts(n1, n2, theta_i):\n return 1-rs(n1,n2,theta_i)\n\ndef rp(n1, n2, theta_i):\n if n1/n2*sin(theta_i) > 1:\n return 1\n cos_theta_t = sqrt(1-(n1/n2*sin(theta_i))**2)\n ret = (n1*cos_theta_t - n2* cos(theta_i))/(n1*cos_theta_t + n2* cos(theta_i))\n ret = ret**2\n return ret\n \ndef tp(n1, n2, theta_i):\n return 1-rp(n1,n2,theta_i)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "npieces = 200\nn_lyso = 1.82\nn_glass = 1.54\nn_baf2 = 1.47",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "figsize(12,6)\nsubplot(121)\ntheta = np.linspace(0, pi/2, npieces)\nvts = np.vectorize(ts)\nplot(theta, vts(n_lyso, n_glass, theta), label=\"LYSO-->Glass\")\nplot(theta, vts(n_baf2, n_glass, theta), label=\"BaF2-->Glass\")\ngrid(True)\nlegend(loc='lower left')\ntitle('S-polarize')\n\nsubplot(122)\ntheta = np.linspace(0, pi/2, npieces)\nvtp = np.vectorize(tp)\nplot(theta, vtp(n_lyso, n_glass, theta), label=\"LYSO-->Glass\")\nplot(theta, vtp(n_baf2, n_glass, theta), label=\"BaF2-->Glass\")\ngrid(True)\nlegend(loc='lower left')\ntitle('P-polarize')\n\nsuptitle('Transmission Coefficient');",
"language": "python",
"metadata": {},
"outputs": [
{
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K119++QXPPPNMLdRc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NmkY6/7P71ffx/3d0nSPYfdoyv3vzJl3zsde7nC9Vc08Drb8T5iQy8betmEpdd1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\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LPT/kjmIxAMBLJSXRVxawQGEoFgMAgELFxWK2oQAKF6+3fd+GgmIxAMBLcbGYBSxQGIrF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\nxQAAAAAAVAONQrQZosTkbwAAAABJRU5ErkJggg==\n' width=709 height=397/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x10639cf90>"
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "#assuming a flat distribution in theta\nlyso_glass_ts = np.sum(vts(n_lyso, n_glass, theta)*1.0/npieces)\nbaf2_glass_ts = np.sum(vts(n_baf2, n_glass, theta)*1.0/npieces)\nlyso_glass_tp = np.sum(vtp(n_lyso, n_glass, theta)*1.0/npieces)\nbaf2_glass_tp = np.sum(vtp(n_baf2, n_glass, theta)*1.0/npieces)\n\nprint 'Effective Transmission Coefficient Assuming Flat Angular Distribution'\nprint 'LYSO-->Glass s = %f'%lyso_glass_ts\nprint 'BaF2-->Glass s = %f'%baf2_glass_ts\nprint 'LYSO-->Glass p = %f'%lyso_glass_tp\nprint 'BaF2-->Glass p = %f'%baf2_glass_tp",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Effective Transmission Coefficient Assuming Flat Angular Distribution\nLYSO-->Glass s = 0.612189\nBaF2-->Glass s = 0.944043\nLYSO-->Glass p = 0.628331\nBaF2-->Glass p = 0.951039\n"
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "#Gain on BaF2\nlyso_glass_eft = 0.5*(lyso_glass_ts + lyso_glass_tp)\nbaf2_glass_eft = 0.5*(baf2_glass_ts + baf2_glass_tp)\nprint 'Baf2 Transmission/ LYSO Transmission = %f'%(baf2_glass_eft/lyso_glass_eft)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Baf2 Transmission/ LYSO Transmission = 1.527651\n"
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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