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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#6: Fiber Optics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.1, Page number 146"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The critical angle is 75 degrees 23 minutes\n",
+ "The acceptance angle is 22 degrees 56 minutes\n",
+ "The numerical aperture is 0.3899\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1=1.545; #refractive index of optical fibre core\n",
+ "n2=1.495; #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "CA=math.asin(n2/n1); #critical angle(radian)\n",
+ "CA=CA*180/math.pi; #critical angle(degree)\n",
+ "CAm=int(CA);\n",
+ "CAs=int(60*(CA-CAm));\n",
+ "AA=math.asin(math.sqrt(n1**2-n2**2)); #acceptance angle(radian)\n",
+ "AAd=AA*180/math.pi; #acceptance angle(degree) \n",
+ "AAm=int(AAd);\n",
+ "AAs=int(60*(AAd-AAm));\n",
+ "NA=math.sin(AA); #numerical aperture\n",
+ "\n",
+ "#Result\n",
+ "print \"The critical angle is\",CAm,\"degrees\",CAs,\"minutes\"\n",
+ "print \"The acceptance angle is\",AAm,\"degrees\",AAs,\"minutes\"\n",
+ "print \"The numerical aperture is\",round(NA,4)\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.2, Page number 147"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The numerical aperture is 0.3487\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1=1.54; #refractive index of optical fibre core\n",
+ "n2=1.5; #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "NA=math.sqrt(n1**2-n2**2); #numerical aperture\n",
+ "\n",
+ "#Result\n",
+ "print \"The numerical aperture is\",round(NA,4)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.3, Page number 147"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The critical angle is 71 degrees 30 minutes\n",
+ "The acceptance angle is 29 degrees 26 minutes\n",
+ "The numerical aperture is 0.4915\n",
+ "answer for acceptance angle and numerical aperture given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n1=1.55; #refractive index of optical fibre core\n",
+ "n2=1.47; #refractive index of cladding\n",
+ "\n",
+ "#Calculation\n",
+ "CA=math.asin(n2/n1); #critical angle(radian)\n",
+ "CA=CA*180/math.pi; #critical angle(degree) \n",
+ "CAm=int(CA);\n",
+ "CAs=int(60*(CA-CAm));\n",
+ "NA=math.sqrt(n1**2-n2**2); #numerical aperture \n",
+ "AA=math.asin(NA); #acceptance angle(radian)\n",
+ "AAd=AA*180/math.pi; #acceptance angle(degree) \n",
+ "AAm=int(AAd);\n",
+ "AAs=int(60*(AAd-AAm));\n",
+ "\n",
+ "#Result\n",
+ "print \"The critical angle is\",CAm,\"degrees\",CAs,\"minutes\"\n",
+ "print \"The acceptance angle is\",AAm,\"degrees\",AAs,\"minutes\"\n",
+ "print \"The numerical aperture is\",round(NA,4)\n",
+ "print \"answer for acceptance angle and numerical aperture given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.4, Page number 147"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The refractive index of optical fibre is 1.5628\n",
+ "The numerical aperture when fibre is in water is 0.15\n",
+ "The Acceptance angle for the fibre in water is 8 degrees 38 minutes\n",
+ "answer for minutes varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n2=1.55; #refractive index of cladding\n",
+ "no=1.33; #refractive index of water\n",
+ "NA=0.20; #numerical aperture of optical fibre\n",
+ "\n",
+ "#Calculation\n",
+ "n1=math.sqrt(n2**2+NA**2); #refractive index of optical fibre\n",
+ "NAW=math.sqrt(n1**2-n2**2)/no; #numerical aperture when fibre is in water\n",
+ "AA=math.asin(NAW); #Acceptance angle for the fibre in water(degrees)\n",
+ "AAd=AA*180/math.pi; #acceptance angle(degree) \n",
+ "AAm=int(AAd);\n",
+ "AAs=int(60*(AAd-AAm));\n",
+ "\n",
+ "#Result\n",
+ "print \"The refractive index of optical fibre is\",round(n1,4)\n",
+ "print \"The numerical aperture when fibre is in water is\",round(NAW,2)\n",
+ "print \"The Acceptance angle for the fibre in water is\",AAm,\"degrees\",AAs,\"minutes\"\n",
+ "print \"answer for minutes varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.5, Page number 148"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The refractive index of the core of a fibre is 1.42\n",
+ "The refractive index of the cladding is 1.403\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "NA=0.22; #numerical aperture of optical fibre\n",
+ "no=0.012; #refractive index difference\n",
+ "\n",
+ "#Calculation\n",
+ "n1=NA/math.sqrt(2*no); #The refractive index of the core of a fibre\n",
+ "n2=n1*(1-no); #The refractive index of the cladding\n",
+ "\n",
+ "#Result\n",
+ "print \"The refractive index of the core of a fibre is\",round(n1,2)\n",
+ "print \"The refractive index of the cladding is\",round(n2,3)\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}