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1 files changed, 132 insertions, 16 deletions
diff --git a/Engineering_Physics/Chapter12_1.ipynb b/Engineering_Physics/Chapter12_1.ipynb index 440b2d59..c394fc3a 100644 --- a/Engineering_Physics/Chapter12_1.ipynb +++ b/Engineering_Physics/Chapter12_1.ipynb @@ -1,6 +1,7 @@ { "metadata": { - "name": "Chapter12" + "name": "", + "signature": "sha256:435dc2503f7ab5f5c4bb167df36c6ef12f8211207bc52e60997787c4d2bd8d5c" }, "nbformat": 3, "nbformat_minor": 0, @@ -11,25 +12,59 @@ "cell_type": "heading", "level": 1, "metadata": {}, - "source": "12: Holography and Fibre Optics" + "source": [ + "12: Holography and Fibre Optics" + ] }, { "cell_type": "heading", "level": 2, "metadata": {}, - "source": "Example number 12.1, Page number 271" + "source": [ + "Example number 12.1, Page number 271" + ] }, { "cell_type": "code", "collapsed": false, - "input": "#To calculate the critical angle, critical propagation angle and numerical aperture \n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nn1 = 1.43; #Refractive index of fibre core\nn2 = 1.4; #Refractive index of fibre cladding\n\n#Calculation\n#As sin (alpha_c) = n2/n1, solving for alpha_c\nalpha_c = math.asin(n2/n1); #Critical angle for optical fibre(rad)\nalpha_c = alpha_c*57.2957795; #Critical angle for optical fibre(degrees)\nalpha_c = math.ceil(alpha_c*10**3)/10**3; #rounding off the value of alpha_c to 3 decimals\n#AS cos(theta_c) = n2/n1, solving for theta_c\ntheta_c = math.acos(n2/n1); #Critical propagation angle for optical fibre(rad)\ntheta_c = theta_c*57.2957795; #Critical propagation angle for optical fibre(degrees)\ntheta_c = math.ceil(theta_c*10**2)/10**2; #rounding off the value of theta_c to 2 decimals\nNA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\nNA = math.ceil(NA*10**3)/10**3; #rounding off the value of NA to 3 decimals\n\n#Result\nprint \"The critical angle for optical fibre is\",alpha_c, \"degrees\"\nprint \"The critical propagation angle for optical fibre is\",theta_c, \"degrees\"\nprint \"Numerical aperture for optical fibre is\",NA\n", + "input": [ + " \n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "n1 = 1.43; #Refractive index of fibre core\n", + "n2 = 1.4; #Refractive index of fibre cladding\n", + "\n", + "#Calculation\n", + "#As sin (alpha_c) = n2/n1, solving for alpha_c\n", + "alpha_c = math.asin(n2/n1); #Critical angle for optical fibre(rad)\n", + "alpha_c = alpha_c*57.2957795; #Critical angle for optical fibre(degrees)\n", + "alpha_c = math.ceil(alpha_c*10**3)/10**3; #rounding off the value of alpha_c to 3 decimals\n", + "#AS cos(theta_c) = n2/n1, solving for theta_c\n", + "theta_c = math.acos(n2/n1); #Critical propagation angle for optical fibre(rad)\n", + "theta_c = theta_c*57.2957795; #Critical propagation angle for optical fibre(degrees)\n", + "theta_c = math.ceil(theta_c*10**2)/10**2; #rounding off the value of theta_c to 2 decimals\n", + "NA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\n", + "NA = math.ceil(NA*10**3)/10**3; #rounding off the value of NA to 3 decimals\n", + "\n", + "#Result\n", + "print \"The critical angle for optical fibre is\",alpha_c, \"degrees\"\n", + "print \"The critical propagation angle for optical fibre is\",theta_c, \"degrees\"\n", + "print \"Numerical aperture for optical fibre is\",NA\n" + ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": "The critical angle for optical fibre is 78.244 degrees\nThe critical propagation angle for optical fibre is 11.76 degrees\nNumerical aperture for optical fibre is 0.292\n" + "text": [ + "The critical angle for optical fibre is 78.244 degrees\n", + "The critical propagation angle for optical fibre is 11.76 degrees\n", + "Numerical aperture for optical fibre is 0.292\n" + ] } ], "prompt_number": 1 @@ -38,19 +73,50 @@ "cell_type": "heading", "level": 2, "metadata": {}, - "source": "Example number 12.2, Page number 271" + "source": [ + "Example number 12.2, Page number 271" + ] }, { "cell_type": "code", "collapsed": false, - "input": "#To calculate the numerical aperture, acceptance angle and relative refractive index difference\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nn1 = 1.45; #Refractive index of fibre core\nn2 = 1.4; #Refractive index of fibre cladding\n\n#Calculation\nNA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\nNA = math.ceil(NA*10**4)/10**4; #rounding off the value of NA to 4 decimals\n#As sin(theta_a) = sqrt(n1^2 - n2^2), solving for theta_a\ntheta_a = math.asin(math.sqrt(n1**2 - n2**2)); #Half of acceptance angle of optical fibre(rad)\ntheta_a = theta_a*57.2957795; #Half of acceptance angle of optical fibre(degrees)\ntheta_accp = 2*theta_a; #Acceptance angle of optical fibre(degrees)\ntheta_accp = math.ceil(theta_accp*10**2)/10**2; #rounding off the value of theta_accp to 2 decimals\nDelta = (n1 - n2)/n1; #Relative refractive index difference\nDelta = math.ceil(Delta*10**4)/10**4; #rounding off the value of Delta to 4 decimals\n\n#Result\nprint \"Numerical aperture for optical fibre is\", NA\nprint \"The acceptance angle of optical fibre is\",theta_accp, \"degrees\"\nprint \"Relative refractive index difference is\", Delta\n", + "input": [ + " \n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "n1 = 1.45; #Refractive index of fibre core\n", + "n2 = 1.4; #Refractive index of fibre cladding\n", + "\n", + "#Calculation\n", + "NA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\n", + "NA = math.ceil(NA*10**4)/10**4; #rounding off the value of NA to 4 decimals\n", + "#As sin(theta_a) = sqrt(n1^2 - n2^2), solving for theta_a\n", + "theta_a = math.asin(math.sqrt(n1**2 - n2**2)); #Half of acceptance angle of optical fibre(rad)\n", + "theta_a = theta_a*57.2957795; #Half of acceptance angle of optical fibre(degrees)\n", + "theta_accp = 2*theta_a; #Acceptance angle of optical fibre(degrees)\n", + "theta_accp = math.ceil(theta_accp*10**2)/10**2; #rounding off the value of theta_accp to 2 decimals\n", + "Delta = (n1 - n2)/n1; #Relative refractive index difference\n", + "Delta = math.ceil(Delta*10**4)/10**4; #rounding off the value of Delta to 4 decimals\n", + "\n", + "#Result\n", + "print \"Numerical aperture for optical fibre is\", NA\n", + "print \"The acceptance angle of optical fibre is\",theta_accp, \"degrees\"\n", + "print \"Relative refractive index difference is\", Delta\n" + ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": "Numerical aperture for optical fibre is 0.3775\nThe acceptance angle of optical fibre is 44.36 degrees\nRelative refractive index difference is 0.0345\n" + "text": [ + "Numerical aperture for optical fibre is 0.3775\n", + "The acceptance angle of optical fibre is 44.36 degrees\n", + "Relative refractive index difference is 0.0345\n" + ] } ], "prompt_number": 2 @@ -59,19 +125,46 @@ "cell_type": "heading", "level": 2, "metadata": {}, - "source": "Example number 12.3, Page number 271" + "source": [ + "Example number 12.3, Page number 271" + ] }, { "cell_type": "code", "collapsed": false, - "input": "#To calculate the numerical aperture and acceptance angle\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nn1 = 1.55; #Refractive index of fibre core\nn2 = 1.53; #Refractive index of fibre cladding\nn0 = 1.3; #Refractive index of medium\n\n#Calculation\nNA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\nNA = math.ceil(NA*10**4)/10**4; #rounding off the value of NA to 4 decimals\n#n0*sin(theta_a) = sqrt(n1^2 - n2^2) = NA, solving for theta_a\ntheta_a = math.asin(math.sqrt(n1**2 - n2**2)/n0); #Half of acceptance angle of optical fibre(rad)\ntheta_a = theta_a*57.2957795; #Half of acceptance angle of optical fibre(degrees)\ntheta_accp = 2*theta_a; #Acceptance angle of optical fibre(degrees)\n\n#Result\nprint \"Numerical aperture for step index fibre is\",NA\nprint \"The acceptance angle of step index fibre is\",int(theta_accp), \"degrees\"\n", + "input": [ + " \n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "n1 = 1.55; #Refractive index of fibre core\n", + "n2 = 1.53; #Refractive index of fibre cladding\n", + "n0 = 1.3; #Refractive index of medium\n", + "\n", + "#Calculation\n", + "NA = math.sqrt(n1**2 - n2**2); #Numerical aperture for optical fibre\n", + "NA = math.ceil(NA*10**4)/10**4; #rounding off the value of NA to 4 decimals\n", + "#n0*sin(theta_a) = sqrt(n1^2 - n2^2) = NA, solving for theta_a\n", + "theta_a = math.asin(math.sqrt(n1**2 - n2**2)/n0); #Half of acceptance angle of optical fibre(rad)\n", + "theta_a = theta_a*57.2957795; #Half of acceptance angle of optical fibre(degrees)\n", + "theta_accp = 2*theta_a; #Acceptance angle of optical fibre(degrees)\n", + "\n", + "#Result\n", + "print \"Numerical aperture for step index fibre is\",NA\n", + "print \"The acceptance angle of step index fibre is\",int(theta_accp), \"degrees\"\n" + ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": "Numerical aperture for step index fibre is 0.2482\nThe acceptance angle of step index fibre is 22 degrees\n" + "text": [ + "Numerical aperture for step index fibre is 0.2482\n", + "The acceptance angle of step index fibre is 22 degrees\n" + ] } ], "prompt_number": 5 @@ -80,25 +173,48 @@ "cell_type": "heading", "level": 2, "metadata": {}, - "source": "Example number 12.4, Page number 271 Theoritical proof" + "source": [ + "Example number 12.4, Page number 271 Theoritical proof" + ] }, { "cell_type": "heading", "level": 2, "metadata": {}, - "source": "Example number 12.5, Page number 272" + "source": [ + "Example number 12.5, Page number 272" + ] }, { "cell_type": "code", "collapsed": false, - "input": "#To calculate the numerical aperture and acceptance angle\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nalpha = 2; #Power loss through optical fibre(dB/km)\nP_in = 500; #Poer input of optical fibre(micro-watt)\nz = 10; #Length of the optical fibre(km)\n\n#Calculation\n#As alpha = 10/z*log10(P_in/P_out), solving for P_out\nP_out = P_in/10**(alpha*z/10); #Output power in fibre optic communication(micro-Watt)\n\n#Result\nprint \"The output power in fibre optic communication is\",P_out, \"micro-Watt\"", + "input": [ + " \n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "alpha = 2; #Power loss through optical fibre(dB/km)\n", + "P_in = 500; #Poer input of optical fibre(micro-watt)\n", + "z = 10; #Length of the optical fibre(km)\n", + "\n", + "#Calculation\n", + "#As alpha = 10/z*log10(P_in/P_out), solving for P_out\n", + "P_out = P_in/10**(alpha*z/10); #Output power in fibre optic communication(micro-Watt)\n", + "\n", + "#Result\n", + "print \"The output power in fibre optic communication is\",P_out, \"micro-Watt\"" + ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": "The output power in fibre optic communication is 5.0 micro-Watt\n" + "text": [ + "The output power in fibre optic communication is 5.0 micro-Watt\n" + ] } ], "prompt_number": 6 @@ -106,7 +222,7 @@ { "cell_type": "code", "collapsed": false, - "input": "", + "input": [], "language": "python", "metadata": {}, "outputs": [] |