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-{
- "metadata": {
- "name": "",
- "signature": "sha256:638145e2db582b1570b31e3d891635b15bb11943d1ff2ba0aa0dc17ebaf02200"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Fibre Optics"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.1, Page number 98 "
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "n1=1.6; #refractive index of core\n",
- "n2=1.5; #refractive index of cladding\n",
- "\n",
- "#Calculation\n",
- "NA=math.sqrt((n1**2)-(n2**2));\n",
- "NA=math.ceil(NA*10**4)/10**4; #rounding off to 4 decimals\n",
- "\n",
- "#Result\n",
- "print(\"the numerical aperture of the fibre is\",NA);\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('the numerical aperture of the fibre is', 0.5568)\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.2, Page number 98 "
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "n1=1.54; #refractive index of core\n",
- "n2=1.5; #refractive index of cladding\n",
- "n0=1;\n",
- "\n",
- "#Calculation\n",
- "NA=math.sqrt((n1**2)-(n2**2)); #numerical aperture of fibre\n",
- "NA=math.ceil(NA*10**5)/10**5; #rounding off to 5 decimals\n",
- "alpha=math.asin(NA/n0); #acceptance angle in radians\n",
- "alpha=alpha*57.2957795; #converting radians to degrees\n",
- "alpha=math.ceil(alpha*10**5)/10**5; #rounding off to 5 decimals\n",
- "deg=int(alpha); #converting to degrees\n",
- "t=60*(alpha-deg); \n",
- "mi=int(t); #converting to minutes\n",
- "sec=60*(t-mi); #converting to seconds\n",
- "sec=math.ceil(sec*10**3)/10**3; #rounding off to 3 decimals\n",
- "\n",
- "#Result\n",
- "print(\"the numerical aperture of the fibre is\",NA);\n",
- "print(\"the acceptance angle of the fibre in degrees is\",alpha);\n",
- "print(\"acceptance angle of the fibre is\",deg,\"degrees\",mi,\"minutes\",sec,\"seconds\");\n",
- "\n",
- "#answer for the angle given in the book is wrong"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('the numerical aperture of the fibre is', 0.34872)\n",
- "('the acceptance angle of the fibre in degrees is', 20.40905)\n",
- "('acceptance angle of the fibre is', 20, 'degrees', 24, 'minutes', 32.581, 'seconds')\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.3, Page number 99"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "n1=1.6; #refractive index of core\n",
- "n2=1.49; #refractive index of cladding\n",
- "\n",
- "#Calculation\n",
- "thetac=math.asin(n2/n1); #critical angle in radians\n",
- "thetac=thetac*57.2957795; #converting radians to degrees\n",
- "theta_c=math.ceil(thetac*10**3)/10**3; #rounding off to 3 decimals\n",
- "deg=int(thetac); #converting to degrees\n",
- "t=60*(thetac-deg); \n",
- "mi=int(t); #converting to minutes\n",
- "sec=60*(t-mi); #converting to seconds\n",
- "sec=math.ceil(sec*10**2)/10**2; #rounding off to 2 decimals\n",
- "\n",
- "#Result\n",
- "print(\"the critical angle of the fibre in degrees is\",theta_c);\n",
- "print(\"critical angle of the fibre is\",deg,\"degrees\",mi,\"minutes\",sec,\"seconds\");"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('the critical angle of the fibre in degrees is', 68.631)\n",
- "('critical angle of the fibre is', 68, 'degrees', 37, 'minutes', 49.85, 'seconds')\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.4, Page number 99"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "NA=0.15; #numerical aperture\n",
- "n2=1.55; #refractive index of cladding\n",
- "n0=1.33; #refractive index of water\n",
- "\n",
- "#Calculation\n",
- "n1=math.sqrt((NA**2)+(n2**2)); #refractive index\n",
- "n_1=math.ceil(n1*10**5)/10**5; #rounding off to 5 decimals\n",
- "alpha=math.asin(math.sqrt(n1**2-n2**2)/n0); #acceptance angle in radians\n",
- "alpha=alpha*57.2957795; #converting radians to degrees\n",
- "alphaa=math.ceil(alpha*10**3)/10**3; #rounding off to 3 decimals\n",
- "deg=int(alpha); #converting to degrees\n",
- "t=60*(alpha-deg); \n",
- "mi=int(t); #converting to minutes\n",
- "sec=60*(t-mi); #converting to seconds\n",
- "sec=math.ceil(sec*10**2)/10**2; #rounding off to 2 decimals\n",
- "\n",
- "#Result\n",
- "print(\"refractive index of the core is\",n_1);\n",
- "print(\"the acceptance angle of the fibre in degrees is\",alphaa);\n",
- "print(\"acceptance angle of the fibre is\",deg,\"degrees\",mi,\"minutes\",sec,\"seconds\");\n",
- "\n",
- "#answer for acceptance angle given in the book is wrong"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('refractive index of the core is', 1.55725)\n",
- "('the acceptance angle of the fibre in degrees is', 6.476)\n",
- "('acceptance angle of the fibre is', 6, 'degrees', 28, 'minutes', 32.55, 'seconds')\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.5, Page number 100"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "NA=0.26; #numerical aperture\n",
- "n1=1.5; #refractive index of core\n",
- "d=100; #core diameter in micro meter\n",
- "\n",
- "#Calculation\n",
- "d=100*(10**-6); #core diameter in metre\n",
- "n2=math.sqrt((n1**2)-(NA**2));\n",
- "n2=math.ceil(n2*10**5)/10**5; #rounding off to 5 decimals\n",
- "\n",
- "#Result\n",
- "print(\"refractive index of the cladding is\",n2);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('refractive index of the cladding is', 1.4773)\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 3.6, Page number 100"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "NA=0.26; #numerical aperture\n",
- "delta=0.015; #refractive index difference\n",
- "\n",
- "#Calculation\n",
- "#NA=math.sqrt(n1**2-n2**2)\n",
- "#let A=n1**2-n2**2\n",
- "#therefore A=NA**2\n",
- "A=NA**2;\n",
- "#delta=(n1**2-n2**2)/2*(n1**2)\n",
- "#let 2*(n1**2) be B\n",
- "#therefore B=A/delta\n",
- "B=A/delta;\n",
- "n1=math.sqrt(B/2);\n",
- "n1=math.ceil(n1*100)/100; #rounding off to 2 decimals\n",
- "n2=math.sqrt(n1**2-NA**2);\n",
- "n2=math.ceil(n2*10**3)/10**3; #rounding off to 4 decimals\n",
- "\n",
- "#Result\n",
- "print(\"refractive index of the core is\",n1);\n",
- "print(\"refractive index of the cladding is\",n2);\n",
- "\n",
- "#answer for refractive index of cladding given in the book is wrong"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('refractive index of the core is', 1.51)\n",
- "('refractive index of the cladding is', 1.488)\n"
- ]
- }
- ],
- "prompt_number": 19
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file