{
"metadata": {
"name": "",
"signature": "sha256:4f08cfe536912048165948aa8a78d3602da78d460154eb52213ea2da5e5f2029"
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"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 01:Electromagnetics and Optics"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.6:pg-25"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#To find refractive index of of the glass\n",
"import math\n",
"\n",
"# Given data\n",
"phi=0.7297; # Critical angle for glass-air interface\n",
"n2=1; # Refractive index of air\n",
"n1=n2/math.sin(phi); # Refractive index of glass\n",
"\n",
"# Displaying the result in command window\n",
"print \"\\n Refractive index of the glass = \",round(n1,1)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" Refractive index of the glass = 1.5\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.7:pg-25"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#To calculate a)the speed of light b) The wavelenght in medium c) The wavenumber in medium\n",
"import math\n",
"\n",
"\n",
"#a)The speed of light\n",
"c=3*10**8; #Speed of light in free space (m/s)\n",
"n=1.45; #Given refractive index of dielectric medium\n",
"v=(c/n); #Speed of light in medium (in m/s)\n",
"\n",
"#Displaying the result in command window\n",
"print\" \\nSpeed of light in medium =\",round(v*10**-8,3),\" X 10^8 m/s',\"\n",
"\n",
"#b) The wavelenght in medium \n",
"f=190*10**12; #Given operating frequency of laser\n",
"lambdam=(v/f); #Wavelenght in medium \n",
"\n",
"#Displaying the result in command window\n",
"print\" \\nWavelenght of laser in medium =\",round(lambdam*10**(6),4),\" micrometer\"\n",
"\n",
"#c) The wavenumber in medium\n",
"k=(2*math.pi)/lambdam; #Wavenumber in medium\n",
"\n",
"#Displaying the result in command window\n",
"print \"\\nWavenumber in medium =\",round(k*10**-6,2),\" X 10^6 m^-1\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"Speed of light in medium = 2.069 X 10^8 m/s',\n",
" \n",
"Wavelenght of laser in medium = 1.0889 micrometer\n",
"\n",
"Wavenumber in medium = 5.77 X 10^6 m^-1\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.8:pg-26"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# To calculate a)magnitude of the wave vector of the refracted wave b)x-component and z-component of the wave vector\n",
"\n",
"import math\n",
"#Given data\n",
"n1=1; # Refractive index of air\n",
"n2=1.45; # Refractive index of slap\n",
"theta1=math.pi/3; # Angle of incidence\n",
"lambdam=1.0889*10**(-6); # Wavelength in medium\n",
"theta2=math.asin(math.sin(theta1)/n2); # Angle of refraction\n",
"\n",
"# a)To calculate magnitude of the wave vector of the refracted wave\n",
"k=((2*math.pi)/lambdam); # Wavenumber\n",
"\n",
"# Displaying the result in command window\n",
"print\" Magnitude of the wave vector of the refracted wave is same as wave number =\",round(k*10**(-6),2),\" X 10^6 m^-1\"\n",
"\n",
"# b)To calculate x-component and z-component of the wave vector\n",
"kx=k*math.sin(theta2); # x-component of the wave vector\n",
"kz=k*math.cos(theta2); # z-component of the wave vector\n",
"\n",
"# Displaying the result in command window\n",
"print\"\\n z-component of the wave vector =\",round(kz*10**(-6),2),\" X 10^6 m**-1\"\n",
"print\"\\n x-component of the wave vector = \",round(kx*10**(-6),2),\" X 10^6 m**-1\"\n",
"# The answer is varrying due to round-off error \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Magnitude of the wave vector of the refracted wave is same as wave number = 5.77 X 10^6 m^-1\n",
"\n",
" z-component of the wave vector = 4.63 X 10^6 m**-1\n",
"\n",
" x-component of the wave vector = 3.45 X 10^6 m**-1\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Ex1.9:pg-30"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#To find length of the medium\n",
"import math\n",
"\n",
"\n",
"bandwidth=100*10**9; #Bandwidth of optical signal\n",
"w=2*math.pi*bandwidth; #Bandwidth of optical signal in rad/s\n",
"T=3.14*10**(-12); #Delay between minimum and maximum frequency component\n",
"beta2=10*(10**(-12))**2/10.0**3; #Group velocity dispersion parameter in s^2/km\n",
"L=T/(beta2*w); #Length of the medium\n",
"\n",
"# Displaying the result in command window\n",
"print\" Length of the medium =\",round(L),\" m\"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Length of the medium = 500.0 m\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}