From c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Tue, 7 Apr 2015 15:58:05 +0530 Subject: added books --- Optical_Fiber_Communication/Chapter2.ipynb | 721 +++++++++++++++++++++++++++++ 1 file changed, 721 insertions(+) create mode 100755 Optical_Fiber_Communication/Chapter2.ipynb (limited to 'Optical_Fiber_Communication/Chapter2.ipynb') diff --git a/Optical_Fiber_Communication/Chapter2.ipynb b/Optical_Fiber_Communication/Chapter2.ipynb new file mode 100755 index 00000000..32f1c5a2 --- /dev/null +++ b/Optical_Fiber_Communication/Chapter2.ipynb @@ -0,0 +1,721 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:ab3713dc22f25eef68710ebd9039d7fba92418b0de95b0ba48c70d6376545f8e" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2- Optical Fiber" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1: PgNo- 18" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.55 # core refractive index\n", + "n2=1.50 #cladding refractive index\n", + "\n", + "# Calculations\n", + "x=math.asin(n2/n1) #Critical angle in radians\n", + "x1=x*180/math.pi #Critical angle in degree\n", + "n_a=math.sqrt(math.pow(n1,2)-math.pow(n2,2)) # Numerical aperture\n", + "x_a=math.asin(n_a)*180/math.pi\n", + "x_a1=math.ceil(x_a) # Acceptance angle in Degree\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" Critical angle in degree= \", x1,\"degree\"))\n", + "print ('%s %.2f ' %(\"\\n Numerical aperture= \",n_a))\n", + "print ('%s %.1f %s' %(\"\\n Acceptance angle in degree= \",x_a1,\"degree\"))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Critical angle in degree= 75.41 degree\n", + "\n", + " Numerical aperture= 0.39 \n", + "\n", + " Acceptance angle in degree= 23.0 degree\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2:PgNo-21" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "# Variable declaration\n", + "\n", + "c=3*math.pow(10,8) #speed of light in m/s\n", + "v=2*math.pow(10,8) # in m/s\n", + "# calculations\n", + "n1=c/v\n", + "x=75 # in degree\n", + "n2=n1*math.sin((x*math.pi/180))\n", + "n_2=1.44\n", + "n_a=math.sqrt(math.pow(n1,2)-math.pow(n_2,2)) # numerical aperture\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" Numerical aperture = \",n_a))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Numerical aperture = 0.42\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3:PgNo-25" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=1.47 # cladding refractive index\n", + "\n", + "# Calculations\n", + "dl=(n1-n2)/n1\n", + "n_a=n1*(math.sqrt(2*dl))# numerical aperture\n", + "x_a=(math.asin(n_a))*180/math.pi #acceptance angle in degree\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" Numerical aperture = \",n_a))\n", + "print ('%s %.2f %s' %(\"\\n Acceptance angle in degree = \",x_a,\"degree\"))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Numerical aperture = 0.30\n", + "\n", + " Acceptance angle in degree = 17.46 degree\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4:PgNo-27" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=1.45 # cladding refractive index\n", + "\n", + "# Calculations\n", + "dl=(n1-n2)/n1\n", + "n_a=n1*(math.sqrt(2*dl)) # numerical aperture\n", + "x_a=(math.asin(n_a))*180/math.pi # acceptance angle in degree\n", + "x_c=(math.asin(n2/n1))*180/math.pi # critical angle in degree\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" Numerical aperture = \",n_a))\n", + "print ('%s %.2f %s' %(\"\\n acceptance angle in degree = \",x_a,\"degree\"))\n", + "print ('%s %.2f %s' %(\"\\n critical angle in degree = \",x_c,\"degree\"))\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Numerical aperture = 0.39\n", + "\n", + " acceptance angle in degree = 22.79 degree\n", + "\n", + " critical angle in degree = 75.16 degree\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5:PgNo- 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "dl=0.012\n", + "n_a=0.22 # numerical aperture\n", + "\n", + "# Calculations\n", + "n1=n_a/(math.sqrt(2*dl)) # core refractive index\n", + "n2=n1-(dl*n1)# cladding refractive index\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" core refractive index = \",n1))\n", + "print ('%s %.2f' %(\"\\n cladding refractive index = \",n2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " core refractive index = 1.42\n", + "\n", + " cladding refractive index = 1.40\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6:PgNo-34" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "dl=0.012\n", + "n_a=0.22 # numerical aperture\n", + "\n", + "# Calculations\n", + "n1=n_a/(math.sqrt(2*dl)) # core refractive index\n", + "n2=n1-(dl*n1)# cladding refractive index\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" core refractive index = \",n1))\n", + "print ('%s %.2f' %(\"\\n cladding refractive index = \",n2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " core refractive index = 1.42\n", + "\n", + " cladding refractive index = 1.40\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 7:PgNo-37" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n2=1.59 # cladding refractive index\n", + "n_a=0.2 # numerical aperture\n", + "n_1=1.60 # core refractive index\n", + "n_o=1.33\n", + "\n", + "# Calculations\n", + "n1=math.sqrt(math.pow(n2,2)+math.pow(n_a,2)) # core refractive index\n", + "A=(math.sqrt(math.pow(n_1,2)-math.pow(n2,2)))/n_o\n", + "x_a=(math.asin(A))*180/math.pi # acceptance angle in degree\n", + "x_c=(math.asin(n2/n1))*180/math.pi #critical angle in degree\n", + "y=1300*math.pow(10,(-9)) # in meter\n", + "a=25*math.pow(10,(-6)) # in meter\n", + "v=(2*math.pi*a*n_a)/y\n", + "V=math.floor(v)\n", + "M=math.pow(V,2)/2 # number of modes transmitted\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" acceptance angle in degree = \",x_a,\"degree\"))\n", + "print ('%s %.2f %s' %(\"\\n critical angle in degree = \",x_c,\"degree\"))\n", + "print ('%s %d' %(\"\\n number of modes transmitted = \",M))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " acceptance angle in degree = 7.72 degree\n", + "\n", + " critical angle in degree = 82.83 degree\n", + "\n", + " number of modes transmitted = 288\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8:PgNo-42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=1.47 # cladding refractive index\n", + "\n", + "# Calculations\n", + "dl=(n1-n2)/n1\n", + "n_a=n1*(math.sqrt(2*dl)) # numerical aperture\n", + "x_e=(math.asin(n_a))*180/math.pi # the maximum entrance angle in degree\n", + "\n", + "# Results\n", + "print ('%s %.1f' %(\" Numerical aperture = \",n_a))\n", + "print ('%s %.2f %s' %(\"\\n The maximum entrance angle in degree = \",x_e,\"degree\"))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Numerical aperture = 0.3\n", + "\n", + " The maximum entrance angle in degree = 17.46 degree\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9:PgNo-47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.44 # core refractive index\n", + "dl=0.02\n", + "\n", + "# Calculations\n", + "n_a=n1*math.sqrt(2*dl)\n", + "n_a=n1*(math.sqrt(2*dl)) # numerical aperture\n", + "x_a=(math.asin(n_a))*180/math.pi # acceptance angle in degree\n", + "\n", + "# Results\n", + "print \" Numerical aperture = \",n_a\n", + "print ('%s %.2f %s'%(\"\\n acceptance angle in degree = \",x_a,\"degree\"))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Numerical aperture = 0.288\n", + "\n", + " acceptance angle in degree = 16.74 degree\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10:PgNo-53" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=(99.0/100.0)*1.50 # cladding refractive index\n", + "\n", + "# Calculations\n", + "x_c=math.asin(n2/n1)*(180/math.pi) # critical angle in degree\n", + "n_m=math.sqrt(math.pow(n1,2)-math.pow(n2,2)) # numerical aperture\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" critical angle = \",x_c,\"degree\"))\n", + "print ('%s %.2f' %(\"\\n numerical aperture = \",n_m))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical angle = 81.89 degree\n", + "\n", + " numerical aperture = 0.21\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11: PgNo-58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=1.45 # cladding refractive index\n", + "\n", + "# Calculations\n", + "n_m=math.sqrt(math.pow(n1,2)-math.pow(n2,2)) # numerical aperture\n", + "dl=(n1-n2)/n1 # fractional difference\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" numerical aperture = \",n_m))\n", + "print ('%s %.2f' %(\"\\n fractional difference = \",dl))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " numerical aperture = 0.38\n", + "\n", + " fractional difference = 0.03\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12: PgNo-65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.46 # core refractive index\n", + "n2=1.45 # cladding refractive index\n", + "\n", + "# Calculations\n", + "x_c=(math.asin(n2/n1))*180/math.pi # critical angle in degree\n", + "n_m=math.sqrt(math.pow(n1,2)-math.pow(n2,2)) # numerical aperture\n", + "x_a=(math.asin(n_m))*180/math.pi # acceptance angle in degree\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" critical angle = \",x_c,\"degree\"))\n", + "print ('%s %.2f %s' %(\"\\n acceptance angle = \",x_a,\"degree\"))\n", + "print ('%s %.2f' %(\"\\n numerical aperture = \",n_m))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical angle = 83.29 degree\n", + "\n", + " acceptance angle = 9.82 degree\n", + "\n", + " numerical aperture = 0.17\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13: PgNo-67" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "# Variable declaration\n", + "n_m=0.204 #numerical aperture\n", + "dl=0.01 # index difference\n", + "\n", + "# Calculations\n", + "n1=n_m/(math.sqrt(2*dl)) # core refractive index\n", + "n2=n1*(1-dl) # cladding refractive index\n", + "\n", + "# Results\n", + "print ('%s %.2f' %(\" core refractive index = \",n1))\n", + "print ('%s %.2f' %(\"\\n cladding refractive index = \",n2))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " core refractive index = 1.44\n", + "\n", + " cladding refractive index = 1.43\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14: PgNo-71" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "# Variable declaration\n", + "\n", + "n1=1.46 #core refractive index\n", + "dl=0.01 # index difference\n", + "\n", + "# Calculations\n", + "n_2=n1-(n1*dl) # cladding refractive index\n", + "x_c=(math.asin(n_2/n1))*180/math.pi #critical angle in degree\n", + "n_m=math.sqrt(math.pow(n1,2)-math.pow(n_2,2)) # numerical aperture\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" critical angle = \",x_c,\"degree\"))\n", + "print ('%s %.2f' %(\"\\n numerical aperture = \",n_m))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical angle = 81.89 degree\n", + "\n", + " numerical aperture = 0.21\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 15: PgNo-76" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "n2=1.45 # cladding refractive index\n", + "\n", + "# Calculations\n", + "x_c=(math.asin(n2/n1))*180/math.pi # critical angle in degree\n", + "n_m=math.sqrt(math.pow(n1,2)-math.pow(n2,2)) # numerical aperture\n", + "x_a=(math.asin(n_m))*180/math.pi # acceptance angle in degree\n", + "n_c=math.pow((n_m),2)*100 # percentage of light\n", + "\n", + "# Results\n", + "print ('%s %.2f %s' %(\" critical angle= \",x_c,\"degree\"))\n", + "print ('%s %.2f %s' %(\"\\n acceptance angle= \",x_a,\"degree\"))\n", + "print ('%s %.2f' %(\"\\n numerical aperture= \",n_m))\n", + "print ('%s %.2f %s'%(\"\\n percentage of light= \",n_c,\"%\"))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " critical angle= 75.16 degree\n", + "\n", + " acceptance angle= 22.59 degree\n", + "\n", + " numerical aperture= 0.38\n", + "\n", + " percentage of light= 14.75 %\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 16: PgNo-81" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "# Variable declaration\n", + "n1=1.50 # core refractive index\n", + "dl=0.01 # index difference\n", + "\n", + "# Calculations\n", + "n_m=n1*(math.sqrt(2*dl)) # numerical aperture\n", + "x_a=math.pi*math.pow((n_m),2) # acceptance angle in radian\n", + "n2_1=(1-dl) # the ratio of n2 to n1\n", + "x_c=(math.asin(n2_1))*180/math.pi # critical angle in degree\n", + "\n", + "# Results\n", + "print ('%s %.2f'%(\" numerical aperture= \",n_m))\n", + "print ('%s %.2f %s' %(\"\\n acceptance angle= \",x_a,\"radian\"))\n", + "print ('%s %.2f %s'%(\"\\n critical angle= \",x_c,\"degree\"))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " numerical aperture= 0.21\n", + "\n", + " acceptance angle= 0.14 radian\n", + "\n", + " critical angle= 81.89 degree\n" + ] + } + ], + "prompt_number": 18 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit