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Diffstat (limited to 'Optical_Fiber_Communication/Chapter2.ipynb')
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diff --git a/Optical_Fiber_Communication/Chapter2.ipynb b/Optical_Fiber_Communication/Chapter2.ipynb deleted file mode 100755 index 32f1c5a2..00000000 --- a/Optical_Fiber_Communication/Chapter2.ipynb +++ /dev/null @@ -1,721 +0,0 @@ -{
- "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 |