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diff --git a/Engineering_Physics_by_G._Aruldhas/Chapter5_1.ipynb b/Engineering_Physics_by_G._Aruldhas/Chapter5_1.ipynb new file mode 100755 index 00000000..8b5822ee --- /dev/null +++ b/Engineering_Physics_by_G._Aruldhas/Chapter5_1.ipynb @@ -0,0 +1,299 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:d6b4557b658267af4573aff55394c33f7ae58a19c1bc5291838cb933f306de2e" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "5: Polarization" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.1, Page number 113" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "from __future__ import division\n", + "import math\n", + "\n", + "#Variable declaration\n", + "mew_g = 1.72; #Refractive index of glass\n", + "mew_w = 4/3; #Refractive index of water\n", + "\n", + "#Calculation\n", + "#For polarization to occur on flint glass, tan(i) = mew_g/mew_w\n", + "#Solving for i\n", + "i_g = math.atan(mew_g/mew_w); #angle of incidence for complete polarization for flint glass(rad)\n", + "a = 180/math.pi; #conversion factor from radians to degrees\n", + "i_g = i_g*a; #angle of incidence(degrees)\n", + "i_g = math.ceil(i_g*10**2)/10**2; #rounding off the value of i_g to 2 decimals\n", + "#For polarization to occur on water, tan(i) = mew_w/mew_g\n", + "#Solving for i\n", + "i_w = math.atan(mew_w/mew_g); #angle of incidence for complete polarization for water(rad)\n", + "i_w = i_w*a; #angle of incidence(degrees)\n", + "i_w = math.ceil(i_w*10**3)/10**3; #rounding off the value of i_w to 3 decimals\n", + "\n", + "#Result\n", + "print \"The angle of incidence for complete polarization to occur on flint glass is\",i_g, \"degrees\"\n", + "print \"The angle of incidence for complete polarization to occur on water is\",i_w, \"degrees\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The angle of incidence for complete polarization to occur on flint glass is 52.22 degrees\n", + "The angle of incidence for complete polarization to occur on water is 37.783 degrees\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.2, Page number 113" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "from __future__ import division\n", + "import math\n", + "\n", + "#Variable declaration\n", + "I0 = 1; #For simplicity, we assume the intensity of light falling on the second Nicol prism to be unity(W/m**2)\n", + "theta = 30; #Angle through which the crossed Nicol is rotated(degrees)\n", + "\n", + "#Calculation\n", + "theeta = 90-theta; #angle between the planes of transmission after rotating through 30 degrees\n", + "a = math.pi/180; #conversion factor from degrees to radians\n", + "theeta = theeta*a; ##angle between the planes of transmission(rad)\n", + "I = I0*math.cos(theeta)**2; #Intensity of the emerging light from second Nicol(W/m**2)\n", + "T = (I/(2*I0))*100; #Percentage transmission of incident light\n", + "T = math.ceil(T*100)/100; #rounding off the value of T to 2 decimals\n", + "\n", + "#Result\n", + "print \"The percentage transmission of incident light after emerging through the Nicol prism is\",T, \"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The percentage transmission of incident light after emerging through the Nicol prism is 12.51 %\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.3, Page number 113" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "from __future__ import division\n", + "import math\n", + "\n", + "#Variable declaration\n", + "lamda = 6000; #Wavelength of incident light(A)\n", + "mew_e = 1.55; #Refractive index of extraordinary ray\n", + "mew_o = 1.54; #Refractive index of ordinary ray\n", + "\n", + "#Calculation\n", + "lamda = lamda*10**-8; #Wavelength of incident light(cm)\n", + "t = lamda/(4*(mew_e-mew_o)); #Thickness of Quarter Wave plate of positive crystal(cm)\n", + "\n", + "#Result\n", + "print \"The thickness of Quarter Wave plate is\",t, \"cm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The thickness of Quarter Wave plate is 0.0015 cm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.4, Page number 114" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Calculation\n", + "#the thickness of a half wave plate of calcite for wavelength lamda is\n", + "#t = lamda/(2*(mew_e - mew_o)) = (2*lamda)/(4*(mew_e - mew_o))\n", + "\n", + "#Result\n", + "print \"The half wave plate for lamda will behave as a quarter wave plate for 2*lamda for negligible variation of refractive index with wavelength\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The half wave plate for lamda will behave as a quarter wave plate for 2*lamda for negligible variation of refractive index with wavelength\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.5, Page number 114" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#importing modules\n", + "from __future__ import division\n", + "import math\n", + "\n", + "#Variable declaration\n", + "lamda = 500; #Wavelength of incident light(nm)\n", + "mew_e = 1.5508; #Refractive index of extraordinary ray\n", + "mew_o = 1.5418; #Refractive index of ordinary ray\n", + "t = 0.032; #Thickness of quartz plate(mm)\n", + "\n", + "#Calculation\n", + "lamda = lamda*10**-9; #Wavelength of incident light(m)\n", + "t = t*10**-3; #Thickness of quartz plate(m)\n", + "dx = (mew_e - mew_o)*t; #Path difference between E-ray and O-ray(m)\n", + "dphi = (2*math.pi)/lamda*dx; #Phase retardation for quartz for given wavelength(rad)\n", + "dphi = dphi/math.pi;\n", + "\n", + "#Result\n", + "print \"The phase retardation for quartz for given wavelength is\",dphi, \"pi rad\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The phase retardation for quartz for given wavelength is 1.152 pi rad\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 5.6, Page number 114" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "C = 52; #Critical angle for total internal reflection(degrees)\n", + "\n", + "#Calculation\n", + "a = math.pi/180; #conversion factor from degrees to radians\n", + "C = C*a; #Critical angle for total internal reflection(rad)\n", + "#From Brewster's law, math.tan(i_B) = 1_mew_2\n", + "#Also math.sin(C) = 1_mew_2, so that math.tan(i_B) = math.sin(C), solving for i_B\n", + "i_B = math.atan(math.sin(C)); #Brewster angle at the boundary(rad)\n", + "b = 180/math.pi; #conversion factor from radians to degrees\n", + "i_B = i_B*b; #Brewster angle at the boundary(degrees)\n", + "\n", + "#Result\n", + "print \"The Brewster angle at the boundary between two materials is\",int(i_B), \"degrees\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Brewster angle at the boundary between two materials is 38 degrees\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 10 + } + ], + "metadata": {} + } + ] +}
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