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{
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"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter4 - Wave propagation in cylindrical waveguides"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 4.1 : Page 70"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
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{
"name": "stdout",
"output_type": "stream",
"text": [
"part (a)\n",
"normalised frequency parameter = 3.01\n",
"part (b)\n",
"propogation constants are Bo1 = 5.911e+06 and B11 = 5.885e+06\n",
"part (c)\n",
"phase velocity are (Vp)01 = 2.06e+08 ms**-1 and (Vp)11 = 2.07e+08 ms**-1 \n"
]
}
],
"source": [
"from __future__ import division\n",
"from math import pi, sqrt\n",
"#normalised frequency,propagation constants and phase velocity\n",
"print \"part (a)\"\n",
"n1=1.46#core refrative index\n",
"di=7.2#core diameter \n",
"n=1.46#core refrative index\n",
"d=1#relative differnce\n",
"h=1.55 # in micro meter\n",
"v=((2*pi*(di*10**-6)/2)*n*sqrt(2*(d/100)))/(h*10**-6)#normalised frequency parameter\n",
"print \"normalised frequency parameter = %0.2f\"%v\n",
"print \"part (b)\"\n",
"b1=(2*pi*n1)/(h*10**-6)# in m**-1\n",
"n2=n1-(d/100)#cladding refrative index\n",
"b2=(2*pi*n2)/(h*10**-6)# in m**-1\n",
"bo1=0.82#\n",
"b11=0.18#\n",
"B01=(b2**2+(bo1*(b1**2-b2**2)))**(1/2)#\n",
"B11=(b2**2+(b11*(b1**2-b2**2)))**(1/2)#\n",
"print \"propogation constants are Bo1 = %0.3e\"%(B01),\" and B11 = %0.3e\"%(B11)\n",
"#propogation constants are calculated wrong in the text bOOK\n",
"print \"part (c)\"\n",
"c=3*10**8# in ms**-1\n",
"vp1=(2*pi*c)/(h*10**-6*B01)#IN MS**-1\n",
"vp2=(2*pi*c)/(h*10**-6*B11)#IN MS**-1\n",
"print \"phase velocity are (Vp)01 = %0.2e \"%(vp1),\" ms**-1 and (Vp)11 = %0.2e\"%(vp2),\" ms**-1 \""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 4.2 : Page 73"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"power for LP01 mode is = 11 %\n",
"power for LP11 mode is = 35 %\n"
]
}
],
"source": [
"#frational power\n",
"p01=0.11#from the graph\n",
"p11=0.347#from the graph\n",
"print \"power for LP01 mode is = %0.f %%\"%(p01*100)\n",
"print \"power for LP11 mode is = %0.f %%\" %(p11*100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 4.3 : Page 76"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of modes : 1974\n"
]
}
],
"source": [
"#Number of the modes\n",
"h= 0.85# Wavelenght in micrometers\n",
"a= 50# Core radius in micrometers\n",
"NA=0.17#\n",
"v1=(2*pi*a*NA)/h#\n",
"m2= round((v1**2)/2)#\n",
"print \"Number of modes : %d\"%m2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 4.4 : Page 76"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"core diameter = 62 micro meter\n"
]
}
],
"source": [
"#core diameter\n",
"d=0.02#difference\n",
"n1=1.5#core refrative index\n",
"m=1000# number of modes\n",
"h= 1.3# Wavelenght in micrometers\n",
"a=((h/(pi*n1))*(m/d)**(1/2))#core diamter in micro meter\n",
"print \"core diameter = %0.f micro meter\"%a"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 4.5 : Page 76"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"maximum core diameter = 4.82 micro meter\n"
]
}
],
"source": [
"#core diameter\n",
"d=0.02#difference\n",
"a1=75#in micro meter\n",
"n1=1.45#core refrative index\n",
"m=700# number of modes\n",
"v=sqrt(4*m)#\n",
"h=((2*pi*(a1/2)*n1*sqrt(2*(d/100)))/v)#in micro meter\n",
"vc=2.405*sqrt(2)#for single mode fiber\n",
"a=((vc*h)/(pi*n1*sqrt(2*(d/100))))#core diamter in micro meter\n",
"print \"maximum core diameter = %0.2f micro meter\"%a"
]
}
],
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|
