{
"metadata": {
"name": "chapter 3(s)"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": "Chapter 3: Fibre Optics And Applications"
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Example 1, Page No: 3.40"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Numerical aperture\n\nimport math;\n\n# Variable Declaration\nn1 = 1.6; # Refractive index of core\nn2 = 1.5; # Refractive index of cladding\n\n# Calculations\nNA = math.sqrt(n1**2 - n2**2); # Numerical Aperture of optical fiber\n\n# Result\nprint 'Numerical Aperture of the optical fiber = %3.4f' %NA;",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Numerical Aperture of the optical fiber = 0.5568\n"
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Example 2, Page No: 3.40"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Numerical aperture and acceptance Angle\n\nimport math;\n\n# Variable declaration\nn1 = 1.55; # Refractive index of core\nn2 = 1.5; # Refractive index of cladding\n\n# Calculations\nNA = math.sqrt(n1**2 - n2**2); # Numerical Aperture of optical fiber\nim = math.asin(NA); # Acceptance angle\nim_d = im*180/math.pi # radian to degree conversion\n\n# Result\nprint 'Numerical Aperture of the optical fiber = %3.4f'%NA,' Acceptance angle = %3.2f' %im_d,'degrees ';\n",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Numerical Aperture of the optical fiber = 0.3905 Acceptance angle = 22.99 degrees \n"
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": " Example 3, Page No: 3.41"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Refractive index of cladding\n\nimport math;\n\n# Variable declaration\nNA = 0.26; # Numerical aperture \nn1 = 1.5 ; # Refractive index of core\nd = 100*10^-6; # diameter of the core in m\n\n# Calculations\nn2 = math.sqrt( n1**2 - NA**2); # Refractive index of cladding\n\n# Result\nprint 'Refractive index of cladding = %3.4f' %n2;",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Refractive index of cladding = 1.4773\n"
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Example 4, Page No: 3.41"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Numerical aperture\n\nimport math;\n\n# variable Declaration\nn1 = 1.54; # Refractive index of core\nn2 = 1.5; # Refractive index of cladding\n\n# Calculations\nNA = math.sqrt(n1**2 - n2**2); # Numerical Aperture of optical fiber\n\n# Result\nprint 'Numerical Aperture of the optical fiber = %3.4f' %NA",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Numerical Aperture of the optical fiber = 0.3487\n"
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Addl_Example 1, Page No: 3.42"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Refractive index, Acceptance angle, Maximum number of modes that fibre allows\n\nimport math;\n\n# Variable Declaration\nn1 = 1.5; # Refractive index of core\nNA = float(0.26); # Numerical aperture \nd = 100*10**-6 # core diameter\nlamda = float(10**-6); # wavelength in m\n\n# Calculations\nn2 = math.sqrt( n1**2 - NA**2); # Refractive index of cladding\nim = math.asin(NA); # Acceptance angle\nim_d = im*180/math.pi # radian to degree conversion\nN = 4.9*(d*NA/lamda)**2; # maximum no of modes\n\n# Result\nprint ' Refractive index of cladding n2 = %3.4f' %n2,'\\n Acceptance angle = %3.2f' %im_d, 'degrees','\\n Maximum number of modes that fibre allows = %d '%N;\n",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": " Refractive index of cladding n2 = 1.4773 \n Acceptance angle = 15.07 degrees \n Maximum number of modes that fibre allows = 3312 \n"
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Addl_Example 2, Page No: 3.43"
},
{
"cell_type": "code",
"collapsed": false,
"input": " # Finding Numerical aperture and Critical angle\n\nimport math;\n\n# Varible Declaration\ndelta = 0.02; # relative refractive index\nn1 = 1.48; # refractive index of core\n\n# Calculations\nNA = n1*(2*delta)**0.5; # Numerical aperture\nn2 = math.sqrt( n1**2 - NA**2); # Refractive index of cladding\ncri_ang = math.asin(n2/n1); # critical angle\ncri_ang_d = cri_ang*180/math.pi; # critical angle in degrees\n\n# Result\nprint ' Numerical Aperture = %3.3f'%NA,'\\n The Critical angle = %3.2f' %cri_ang_d,' degrees';",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": " Numerical Aperture = 0.296 \n The Critical angle = 78.46 degrees\n"
}
],
"prompt_number": 22
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Addl_Example 3, Page No: 3.43"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding Refractive Index\n\nimport math\n\n# Variable declaration\ndelta = 0.015; # relative refractive index\nNA = 0.27; # Numerical aperture\n\n# Calculations\n# we know that NA = n1*sqrt(2*\u0394)\nn1 = NA/math.sqrt(2*delta) # refractive index of core\nn2 = math.sqrt( n1**2 - NA**2); # Refractive index of cladding\n\n# Result\nprint ' Refractive index of the core = %3.3f' %n1,'\\n Refractive index of the cladding = %3.3f\\n' %n2;",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": " Refractive index of the core = 1.559 \n Refractive index of the cladding = 1.535\n\n"
}
],
"prompt_number": 24
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Addl_Example 4, Page No: 3.44"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# No. of total modes propagating in a multimode step index fibre\n\nimport math;\n\n# variable Declaration\nNA = 0.25; # Numerical aperture \nd = 60*10**-6 # core diameter\nlamda = 2.7*10**-6; # wavelength in m\n\n# calculations\nN = 4.9*(d*NA/lamda)**2; # no of modes for step index fibre\n\n# Result\nprint 'No. of total modes propagating in a multimode step index fibre = %d' %N;",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "No. of total modes propagating in a multimode step index fibre = 151\n"
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": "Addl_Example 5, Page No: 3.44"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Finding No. of total modes propagating in the fibre\nimport math;\n\n# Variable Declaration\nNA = 0.25; # Numerical aperture \nd = 6*10**-6 # core diameter\nlamda = 1.5*10**-6; # wavelength of laser source\nn1 = 1.47; # refractive index of core\nn2 = 1.43 # refractive index of cladding\n\n# calculations\nNA = math.sqrt( n1**2 - n2**2); # Numerical Aperture\nN = 4.9*(d*NA/lamda)**2; # no of modes for step index fibre\n\n# Result\nprint 'No. of total modes propagating in the fibre = %d' %N;",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "No. of total modes propagating in the fibre = 9\n"
}
],
"prompt_number": 30
}
],
"metadata": {}
}
]
}