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authorTrupti Kini2016-03-06 23:30:10 +0600
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A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter7.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9.ipynb A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/1.png A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/2.png A Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/3.png A sample_notebooks/LalitKumar/Ch3.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter3 - Wave propagation in planor waveguides"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.1 : Page 45"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "range of propagation constant is 1.10880e+07 to 1.1014e+07 m**-1\n",
+ "number of modes are 4.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import pi, sqrt\n",
+ "#range of propagation constants and maximum no. of modes\n",
+ "n1=1.5##core refractive index\n",
+ "n2=1.49##cladding refrative index\n",
+ "t=9.83##thickness of guided layer in micro meter\n",
+ "h=0.85##wavelength in µm\n",
+ "b1=((2*pi*n1)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "b2=((2*pi*n2)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "m=((4*t)/h)*(sqrt(n1**2-n2**2))##number of modes\n",
+ "print \"range of propagation constant is %0.5e\"%(b1),\" to %0.4e\"%(b2),\" m**-1\"\n",
+ "print\"number of modes are\",round(m/2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.2 : Page 51"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "thicknes of the slab should not be greater than 0.794 µm\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sqrt\n",
+ "#thickness\n",
+ "n1=3.6##core refractive index\n",
+ "n2=3.56##cladding refrative index\n",
+ "h=0.85##wavelength in µm\n",
+ "a=((h/(2*sqrt(n1**2-n2**2))))##thickness in µm\n",
+ "print \"thicknes of the slab should not be greater than %0.3f\"%(a),\" µm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.3 : Page 52"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "part (a)\n",
+ "number of modes are : 5.0\n",
+ "part (b)\n",
+ "m \tuma(rad) \tum(m**-1) \twma(rad) \twm(m**-1) \tbm((wma/v)**2] \t\n",
+ "\n",
+ "0 1.30644 2.5845e+05 4.8263 9.5476e+05 0.93077\n",
+ "1 2.59574 5.1350e+05 4.27342 8.4538e+05 0.72974\n",
+ "2 3.83747 7.5914e+05 3.20529 6.3408e+05 0.41053\n",
+ "3 4.9063 9.7058e+05 0.963466 1.9060e+05 0.03709\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import pi, sqrt\n",
+ "#no. of modes\n",
+ "print \"part (a)\"\n",
+ "n1=1.5##core refractive index\n",
+ "n2=1.48##cladding refrative index\n",
+ "t=10.11##thickness of guided layer in micro meter\n",
+ "h=1.55##wavelength in µm\n",
+ "b1=((2*pi*n1)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "b2=((2*pi*n2)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "m=((2*pi*t)/h)*(sqrt(n1**2-n2**2))##number of modes\n",
+ "print \"number of modes are : \",round(m/2)\n",
+ "\n",
+ "print \"part (b)\"\n",
+ "t1=10.11##thickness of guided layer in micro meter\n",
+ "t=t1/2#\n",
+ "h=1.55##wavelength in µm\n",
+ "b1=((2*pi*n1)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "b2=((2*pi*n2)/(h*10**-6))##phase propagation constant in m**-1\n",
+ "mo=(((2*pi*t1)/h)*(sqrt(n1**2-n2**2)))/2##number of modes\n",
+ "uma0=1.30644## for m=0 from the curve\n",
+ "uma1=2.59574## for m=1 from the curve\n",
+ "uma2=3.83747## for m=2 from the curve\n",
+ "uma3=4.9063## for m=3 from the curve\n",
+ "wma0=4.8263## for m=0 from the curve\n",
+ "wma1=4.27342## for m=1 from the curve\n",
+ "wma2=3.20529## for m=2 from the curve\n",
+ "wma3=0.963466## for m=3 from the curve\n",
+ "um0=uma0/(t*10**-6)##in m**-1\n",
+ "um1=uma1/(t*10**-6)##in m**-1\n",
+ "um2=uma2/(t*10**-6)##in m**-1\n",
+ "um3=uma3/(t*10**-6)##in m**-1\n",
+ "wm0=wma0/(t*10**-6)##in m**-1\n",
+ "wm1=wma1/(t*10**-6)##in m**-1\n",
+ "wm2=wma2/(t*10**-6)##in m**-1\n",
+ "wm3=wma3/(t*10**-6)##in m**-1\n",
+ "bm0=((wm0*t*10**-6)/mo)**2##for m=0 \n",
+ "bm1=((wm1*t*10**-6)/mo)**2##for m=1\n",
+ "bm2=((wm2*t*10**-6)/mo)**2##for m=2 \n",
+ "bm3=((wm3*t*10**-6)/mo)**2##for m=3\n",
+ "m0=sqrt((bm0*(b1**2-b2**2))+b2**2)##for m=0 in m**-1\n",
+ "m1=sqrt((bm1*(b1**2-b2**2))+b2**2)##for m=1 in m**-1\n",
+ "m2=sqrt((bm2*(b1**2-b2**2))+b2**2)##for m=2 in m**-1\n",
+ "m3=sqrt((bm3*(b1**2-b2**2))+b2**2)##for m=3 in m**-1\n",
+ "params = [\"m\", \"uma(rad)\", \"um(m**-1)\", \"wma(rad)\", \"wm(m**-1)\", \"bm((wma/v)**2]\" ]\n",
+ "for x in params:\n",
+ " print x,'\\t',\n",
+ "\n",
+ "print '\\n'\n",
+ "a = range(0,4)\n",
+ "b = [uma0, uma1, uma2, uma3]\n",
+ "c = [um0, um1, um2, um3]\n",
+ "d = [wma0, wma1, wma2, wma3]\n",
+ "e = [wm0, wm1, wm2, wm3]\n",
+ "f = [bm0, bm1, bm2, bm3]\n",
+ "from numpy import nditer\n",
+ "for k,l,m,n,o,p in nditer([a,b,c,d,e,f]) :\n",
+ " print k,' ',l,' %0.4e'%m,' ',n,' %0.4e'%o,' %0.5f'%p\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.4 : Page 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "G factor is 0.5622\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import sin, cos, pi\n",
+ "#G factor\n",
+ "d=0.793##in micro meter\n",
+ "v=pi/2##point of intersection\n",
+ "ua=0.934##\n",
+ "wa=1.262##\n",
+ "Y=(wa*(1+(sin(ua*pi/180))*(cos(ua*pi/180))/ua))\n",
+ "G=(1+((cos(ua*pi/180))**2)/Y)**(-1)\n",
+ "print \"G factor is %0.4f\"%G\n",
+ "#answer is wrong in the textbook"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}