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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 15 : Fibre Optics Sensors And Instrumentation"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example15_1,pg 470"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find increamental phase\n",
"\n",
"import math\n",
"#variable declaration\n",
"n1=1.48 #refractive index of fibre\n",
"mu=0.2 #poisson's ratio\n",
"p=2.2*10**2 #pressure applied\n",
"lam=690.0*10**-9 #laser beam wavelength\n",
"Y=2.2*10**11 #young's modulus\n",
"\n",
"#Calcaulation\n",
"delphi=((4*math.pi*n1*mu*p)/(lam*Y))\n",
"\n",
"#Result\n",
"print(\"increamental phase:\")\n",
"print(\"delphi = %.6f rad\"%delphi)\n",
"#Answer is slightly different"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"increamental phase:\n",
"delphi = 0.005391 rad\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example15_2,pg 474"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find additional length travelled\n",
"\n",
"import math\n",
"#Variable declartion\n",
"r= 9 #radius of fibre loop\n",
"a=math.pi*((r/2)**2) #area of fibre loop\n",
"Q=1.0 #linear velocity(cm/s)\n",
"Co=3*10**8 #velocity of light(cm/s)\n",
"\n",
"#Calculations\n",
"delL=((4*a*Q)/(Co)) #additional length travelled\n",
"\n",
"#Results\n",
"print(\"additional length travelled:\")\n",
"print(\"delL = %.1f * 10^-8 cm\"%(delL*10**8))\n",
"#Answer is not matching with book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"additional length travelled:\n",
"delL = 67.0 * 10^-8 cm\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example15_3,pg 512\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find interacting length\n",
"\n",
"import math\n",
"#Variable declaration\n",
"#(Po1/Po2)=1/2 and Po1+Po2=3Po2=Pi\n",
"Po2byPi=1.0/3.0 #(Po2/Pi)\n",
"\n",
"#Calculations\n",
"kL=math.acos(math.sqrt(Po2byPi)) #k->coupling coefficient\n",
"L=kL #L=kL/k L->interacting length\n",
"\n",
"#Result\n",
"print(\"interacting length:\")\n",
"print(\"L = %.4f/k\"%L)\n",
"# answer is slightly different than book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"interacting length:\n",
"L = 0.9553/k\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example15_4,pg 512\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# wavelength suitable for laser light\n",
"\n",
"import math\n",
"#Variable declaration\n",
"We=7.6*10**-5 #speed od gyro\n",
"L=490.0 #length\n",
"c=3*10**8 #speed of light \n",
"delphi=7.69*10**-5 #phase shift\n",
"d=0.094 \n",
"\n",
"#Calculations\n",
"lam=((2*math.pi*L*d*We)/(c*delphi)) #wavelength of laser light\n",
"\n",
"#Result\n",
"print(\"wavelength of laser light:\")\n",
"print(\"lam = %.f *10^-9 m\"%(lam*10**9))\n",
"#Answer isslightly different than book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"wavelength of laser light:\n",
"lam = 953 *10^-9 m\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example15_5,pg 513"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find rate of change of RI wrt T\n",
"\n",
"import math\n",
"#Variable declaration\n",
"#(delphi/delT)=(2pi/lam)(n*(delL/delT)+L*(deln/delT))=(deln/delT)\n",
"lam=635.0*10**-9 #wavelength of light beam\n",
"delphi=139.0 #phase angle\n",
"delL=0.49*10**-6 #change in length\n",
"n=1.48 #R.I of fibre\n",
"\n",
"#Calculations\n",
"k=((lam*delphi)/(2*math.pi))-(delL*n) #//k=(deln/delT), rate of change of R.I w.r.t T\n",
"\n",
"#Result\n",
"print(\"rate of change of R.I w.r.t T:\")\n",
"print(\"k = %.2f * 10^-6/\u00b0C\"%(k*10**6))\n",
"# Answer is nnot matching to book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"rate of change of R.I w.r.t T:\n",
"k = 13.32 * 10^-6/\u00b0C\n"
]
}
],
"prompt_number": 32
}
],
"metadata": {}
}
]
}
|
