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diff --git a/Engineering_Physics_by_A._Marikani/Chapter_3.ipynb b/Engineering_Physics_by_A._Marikani/Chapter_3.ipynb new file mode 100755 index 00000000..7496a57a --- /dev/null +++ b/Engineering_Physics_by_A._Marikani/Chapter_3.ipynb @@ -0,0 +1,331 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:3f2462cfb429298e26fc6bf563d665947cd211731889b95d7dd1a2db3452c286" + }, + "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", + "\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", + "\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", + "\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", + "\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", + "\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", + "\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": {} + } + ] +}
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