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{
"metadata": {
"name": "",
"signature": "sha256:cf0df6ad8ed22fd758025ea5993932acd38bbb0ea0e95c0a8bdc6e4a7c75be59"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"4: Fiber Optics"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 4.1, Page number 126"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"mew = 1.5; #refractive angle for glass\n",
"\n",
"#Calculation\n",
"ip = math.atan(mew); #brewster's angle(radian)\n",
"ip = ip*180/math.pi; #brewster's angle(degree)\n",
"ip = math.ceil(ip*100)/100; #rounding off to 2 decimals\n",
"r = 90-ip; #angle of refraction(degree)\n",
"r = math.ceil(r*10)/10; #rounding off to 1 decimal\n",
"\n",
"#Result\n",
"print \"brewster's angle is\",ip,\"degrees\"\n",
"print \"angle of refraction is\",r,\"degrees\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"brewster's angle is 56.31 degrees\n",
"angle of refraction is 33.7 degrees\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 4.2, Page number 126"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"mew0 = 1.658; #refractive index of calcite\n",
"mew_layer = 1.550; #refractive index of canada balsam\n",
"\n",
"#Calculation\n",
"sinC = mew_layer/mew0; \n",
"C = math.asin(sinC); #critical angle(radian)\n",
"C = C*180/math.pi; #critical angle(degrees)\n",
"i = 90-C; #maximum possible inclination(degrees)\n",
"i = math.ceil(i*10)/10; #rounding off to 1 decimal\n",
"\n",
"#Result\n",
"print \"maximum possible inclination is\",i,\"degrees\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"maximum possible inclination is 20.8 degrees\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 4.3, Page number 126"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"mew0 = 1.544; #refractive index of calcite\n",
"mewe = 1.533; #refractive index of canada balsam\n",
"lamda = 5000; #wavelength(angstrom)\n",
"\n",
"#Calculation\n",
"lamda = lamda*10**-10; #wavelength(m)\n",
"t = lamda/(2*(mew0-mewe)); #thickness of half wave plate(m)\n",
"t = t*10**4;\n",
"t = math.ceil(t*10**4)/10**4; #rounding off to 4 decimals\n",
"\n",
"#Result\n",
"print \"thickness of half wave plate is\",t,\"*10**-4 m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"thickness of half wave plate is 0.2273 *10**-4 m\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 4.4, Page number 126"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"l = 20; #length of glass tube(cm)\n",
"theta = 26.2; #polarisation angle(degrees)\n",
"s = 20; #weight of sugar(gm)\n",
"w = 100; #quantity of water(ml)\n",
"\n",
"#Calculation\n",
"l = l/10; #length of glass tube(dm)\n",
"C = s/w; #concentration(gm/cc)\n",
"S = theta/(l*C); #specific rotation(degrees per dm per(gm/cc))\n",
"\n",
"#Result\n",
"print \"specific rotation of sugar is\",S,\"degrees per dm per(gm/cc)\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"specific rotation of sugar is 65.5 degrees per dm per(gm/cc)\n"
]
}
],
"prompt_number": 16
}
],
"metadata": {}
}
]
}
|
