{ "metadata": { "name": "", "signature": "sha256:ede2b0bb266c67744fbe14f69a09ec9b5592c13400e7d0bf2db5fa598ebe9db1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "15: Lasers" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 15.1, Page number 283" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "k=1.38*10**-23; #boltzmann constant(J/K)\n", "T=1000; #temperature(K)\n", "new1=7.5*10**14; \n", "new2=4.3*10**14;\n", "h=6.626*10**-34; #planck's constant(Js)\n", "\n", "#Calculation\n", "kT=k*T;\n", "#optical region extends from 4000 to 7000 angstrom\n", "hnew=h*(new1-new2); \n", "\n", "#Result\n", "print \"value of kT is\",kT,\"J\"\n", "print \"value of hnew is\",hnew,\"J\"\n", "print \"hnew>kT.therefore spontaneous transitions are dominant ones in optical region\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "value of kT is 1.38e-20 J\n", "value of hnew is 2.12032e-19 J\n", "hnew>kT.therefore spontaneous transitions are dominant ones in optical region\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 15.2, Page number 298" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "h=6.626*10**-34; #planck's constant(Js)\n", "c=3*10**8; #velocity of light(m/sec)\n", "P=0.6; #power(watt)\n", "T=30*10**-3; #time(s)\n", "lamda=640*10**-9; #wavelength(m)\n", "\n", "#Calculation\n", "E=P*T; #energy deposited(J)\n", "n=E*lamda/(h*c); #number of photons in each pulse\n", "\n", "#Result\n", "print \"energy deposited is\",E,\"J\"\n", "print \"number of photons in each pulse is\",round(n/10**16,1),\"*10**16\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "energy deposited is 0.018 J\n", "number of photons in each pulse is 5.8 *10**16\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 15.3, Page number 298" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "lamda=5000*10**-10; #wavelength(m)\n", "f=0.2; #focal length(m)\n", "a=0.009; #radius of aperture(m)\n", "P=2.5*10**-3; #power(W)\n", "\n", "#Calculation\n", "A=math.pi*lamda**2*f**2/a**2; #area of spot at focal plane(m**2)\n", "I=P/A; #intensity at focus(W/m**2)\n", "\n", "#Result\n", "print \"area of spot at focal plane is\",round(A*10**10,2),\"*10**-10 m**2\"\n", "print \"intensity at focus is\",round(I/10**6,3),\"*10**6 W/m**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "area of spot at focal plane is 3.88 *10**-10 m**2\n", "intensity at focus is 6.446 *10**6 W/m**2\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 15.4, Page number 298" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "lamda=693*10**-9; #wavelength(m)\n", "D=3*10**-3; #diameter of mirror(m)\n", "d=300*10**3; #distance from earth(m)\n", "\n", "#Calculation\n", "delta_theta=1.22*lamda/D; #angular spread(rad)\n", "a=delta_theta*d; #diameter of beam on satellite(m)\n", "\n", "#Result\n", "print \"angular spread is\",round(delta_theta*10**4,2),\"*10**-4 rad\"\n", "print \"diameter of beam on satellite is\",round(a,2),\"m\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "angular spread is 2.82 *10**-4 rad\n", "diameter of beam on satellite is 84.55 m\n" ] } ], "prompt_number": 15 } ], "metadata": {} } ] }