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{
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter2 - Ray propagation in optical fiber"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2.1 : Page 21"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"part (a)\n",
"numerical aperture is 0.244\n",
"part (b)\n",
"angle αm = 14.13 degree\n",
"angle Om = 9.37 degree\n",
"angle Φc = 80.63 degree\n",
"part (c)\n",
"pulse broadning per unit length = 6.76e-11 sm**-1\n"
]
}
],
"source": [
"from math import degrees, asin, sqrt\n",
"#NA ,angles and pulse broadning\n",
"print \"part (a)\"\n",
"n1=1.5##core refrative index\n",
"n2=1.48##claddin refractive index\n",
"a=100/2##radius in micro meter\n",
"na=1##air refrative index\n",
"NA=sqrt(n1**2-n2**2)##numerical aperture\n",
"print \"numerical aperture is %0.3f\"%NA\n",
"print \"part (b)\"\n",
"am=(asin(NA))##\n",
"tm=asin(NA/n1)##\n",
"tc=asin(n2/n1)##\n",
"print \"angle αm = %0.2f degree\"%degrees(am)\n",
"print \"angle Om = %0.2f degree\"%degrees(tm)\n",
"print \"angle Φc = %0.2f degree\"%degrees(tc)\n",
"print \"part (c)\"\n",
"c=3*10**8##speed of light in m/s\n",
"dtl=((n1/n2)*(n1-n2)/c)##pulse broadning per unit length\n",
"print \"pulse broadning per unit length = %0.2e sm**-1\"%dtl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2.2 : Page 22"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"all other rays will suffer reflections between these two extremes of : 0 and 1650.0 m**-1\n"
]
}
],
"source": [
"from math import tan\n",
"#minimum and maximum number of reflections\n",
"n1=1.5##core refrative index\n",
"n2=1.48##claddin refractive index\n",
"a=100/2##radius in micro meter\n",
"na=1##air refrative index\n",
"NA=sqrt(n1**2-n2**2)##numerical aperture\n",
"am=(asin(NA))##\n",
"tm=asin(NA/n1)##\n",
"tc=asin(n2/n1)##\n",
"L=((a*10**-6)/(tan(tm)))##length in meter\n",
"x=(1/(2*L))##maximum number of reflections per meter\n",
"print \"all other rays will suffer reflections between these two extremes of :\",(0),\" and \",round(x),\" m**-1\"\n",
"#answer is wrong in the textbook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2.3 : Page 27"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pulse broadning = 2.45 ns km**-1\n"
]
}
],
"source": [
"#pulse broadning\n",
"h=0.85##WAVELENGTH IN MICRO METER\n",
"y=0.035##spectral width\n",
"c=0.021##constant\n",
"cl=3##speed of light in m/s\n",
"dtl=(y/cl)*c##\n",
"print \"pulse broadning = %0.2f ns km**-1\"%(dtl*10**4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2.4 : Page 27"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"part (a)\n",
"material dispersion = 253.20 ns when h=850nm\n",
"part (b)\n",
"material dispersion = 6.72 ns when h=1300nm\n"
]
}
],
"source": [
"#pulse broadning\n",
"print \"part (a)\"\n",
"h=850##WAVELENGTH IN NANO METER\n",
"l=80##fiber length in Km\n",
"dh=30##in Nano Meter\n",
"m1=105.5##material dispersion for h=850nm in ps/nm-Km\n",
"m2=2.8##material dispersion for h=1300nm in ps/nm-Km\n",
"t=m1*l*dh*10**-3##material dispersion in ns when h=850nm\n",
"print \"material dispersion = %0.2f ns when h=850nm\"%t\n",
"print \"part (b)\"\n",
"h=1300##WAVELENGTH IN NANO METER\n",
"l=80##fiber length in Km\n",
"dh=30##in Nano Meter\n",
"m1=105.5##material dispersion for h=850nm in ps/nm-Km\n",
"m2=2.8##material dispersion for h=1300nm in ps/nm-Km\n",
"t=m2*l*dh*10**-3##material dispersion in ns when h=850nm\n",
"print \"material dispersion = %0.2f ns when h=1300nm\"%t"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 2.5 : Page 28"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"part (a)\n",
"material dispersion = 16.88 ns when h=850nm\n",
"part (b)\n",
"material dispersion = 0.448 ns when h=1300nm\n"
]
}
],
"source": [
"# pulse broadning\n",
"print \"part (a)\"\n",
"h=850##WAVELENGTH IN NANO METER\n",
"l=80##fiber length in Km\n",
"dh=2##in Nano Meter\n",
"m1=105.5##material dispersion for h=850nm in ps/nm-Km\n",
"m2=2.8##material dispersion for h=1300nm in ps/nm-Km\n",
"t=m1*l*dh*10**-3##material dispersion in ns when h=850nm\n",
"print \"material dispersion = %0.2f ns when h=850nm\"%t\n",
"print \"part (b)\"\n",
"h=1300##WAVELENGTH IN NANO METER\n",
"l=80##fiber length in Km\n",
"dh=2##in Nano Meter\n",
"m1=105.5##material dispersion for h=850nm in ps/nm-Km\n",
"m2=2.8##material dispersion for h=1300nm in ps/nm-Km\n",
"t=m2*l*dh*10**-3##material dispersion in ns when h=850nm\n",
"print \"material dispersion = %0.3f ns when h=1300nm\"%t"
]
}
],
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|
