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authorkinitrupti2017-05-12 18:53:46 +0530
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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:99fe784c923b9389b1b34d49f0a0fc6c7079e6fd55741e762bc73de0fe21384b"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "11: Fibre Optics and Holography"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.1, Page number 11.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1 = 1.55 #refractive index of core\n",
+ "n2 = 1.50 #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "NA = math.sqrt(n1**2 - n2**2)\n",
+ "NA = math.ceil(NA*10**3)/10**3; #rounding off to 3 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"numerical aperture is\",NA"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "numerical aperture is 0.391\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.2, Page number 11.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1 = 1.563 #refractive index of core\n",
+ "n2 = 1.498; #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "NA = math.sqrt(n1**2 - n2**2) #numerical aperture \n",
+ "NA = math.ceil(NA*10**4)/10**4; #rounding off to 4 decimals\n",
+ "alpha_i = math.asin(NA) #angle of acceptance(radians)\n",
+ "alpha_i = alpha_i*180/math.pi #angle(degrees)\n",
+ "deg = int(alpha_i)\n",
+ "t = 60*(alpha_i-deg)\n",
+ "mint = int(t) #angle(minutes)\n",
+ "\n",
+ "#Result\n",
+ "print \"the angle of acceptance is\",deg,\"degrees and\",mint,\"minutes\"\n",
+ "print \"answer given in the book differs due to rounding off errors\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the angle of acceptance is 26 degrees and 29 minutes\n",
+ "answer given in the book differs due to rounding off errors\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.3, Page number 11.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "delta = 0.05 #difference in refractive indices of core and cladding\n",
+ "NA = 0.39 #numerical aperture\n",
+ "\n",
+ "#Calculation\n",
+ "n1 = NA/math.sqrt(2*delta) #refractive index of core\n",
+ "n1 = math.ceil(n1*10**4)/10**4; #rounding off to 4 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"refractive index of the core is\",n1"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "refractive index of the core is 1.2333\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.4, Page number 11.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1 = 1.563 #refractive index of core\n",
+ "n2 = 1.498 #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "delta = (n1-n2)/n1 #fractional index change\n",
+ "delta = math.ceil(delta*10**4)/10**4; #rounding off to 4 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"fractional index change is\",delta"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "fractional index change is 0.0416\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.5, Page number 11.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1 = 1.48 #refractive index of core\n",
+ "n2 = 1.45 #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "NA = math.sqrt(n1**2 - n2**2) #numerical aperture \n",
+ "NA = math.ceil(NA*10**4)/10**4; #rounding off to 4 decimals\n",
+ "alpha_i = math.asin(NA) #angle of acceptance(radian)\n",
+ "alpha_i = alpha_i*180/math.pi #angle(degrees)\n",
+ "deg = int(alpha_i)\n",
+ "t = 60*(alpha_i-deg)\n",
+ "mint = round(t) #angle(minutes)\n",
+ "\n",
+ "#Result\n",
+ "print \"numerical aperture is\",NA\n",
+ "print \"the angle of acceptance is\",deg,\"degrees and\",mint,\"minutes\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "numerical aperture is 0.2965\n",
+ "the angle of acceptance is 17 degrees and 15.0 minutes\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 11.6, Page number 11.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Pin = 100 #power of signal(mW)\n",
+ "Pout = 40 #outcoming signal power(mW)\n",
+ "\n",
+ "#Calculation\n",
+ "l = -10*math.log10(Pout/Pin) #attenuation loss(dB)\n",
+ "l = math.ceil(l*10**2)/10**2; #rounding off to 2 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"the attenuation loss is\",l,\"dB\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the attenuation loss is 3.98 dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file