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{
"metadata": {
"name": "",
"signature": "sha256:b663d37f11172deb3563f162b70ebad3fa6ba55d33d2460355cbcd711fb7c2ba"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 7 Thin Lens, Coaxial Systems and Aberrations "
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.1 Page no 114"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"f1=-12.0 #Focal length of a converging lens in cm\n",
"f2=25.0 #Focal length of a diverging lens in cm\n",
"d=8 #Distance between the lens in cm\n",
"\n",
"#Calculations\n",
"C=(1/f1)+(1/f2)+(d/(f1*f2))\n",
"D=(d/f2)+1\n",
"A=(d/f1)+1\n",
"O1F1=(-D/C)\n",
"O2F2=(A/C)\n",
"O1H1=(1-D)/C\n",
"O2H2=(A-1)/C\n",
"\n",
"#Output\n",
"print\"Position of cardinal points are O1F1 = \",round(O1F1,3),\"cm, O2F2 = \",round(O2F2,3),\"cm, O1H1 = \",round(O1H1,3),\"cm, O2H2 = \",round(O2H2,3),\"cm\"\n",
"print\"The system is in air, therfore, nodal points coincide with unit points\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Position of cardinal points are O1F1 = 18.857 cm, O2F2 = -4.762 cm, O1H1 = 4.571 cm, O2H2 = 9.524 cm\n",
"The system is in air, therfore, nodal points coincide with unit points\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.2 Page no 115"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"f=15.0 #Focal length of achromatic doublet made up of crown and flint glasses in cm\n",
"fl=(0.01506,0.02427) #Dispersive power of crown and flint glasses respectively \n",
"\n",
"#Calculations\n",
"#Solving two equations\n",
"#(1/f)=(1/f1)+(1/f2)\n",
"#(f1/f2)=(-0.01506/0.02427)\n",
"fx=(fl[0]/fl[1])\n",
"f2=(-(1/fx)+1)/(1/f)\n",
"f1=(-fx*f2)\n",
"\n",
"#Output\n",
"print\"Focal length of converging lens is \",round(f2,1),\"cm\" \n",
"print\"Focal length of diverging lens is \",round(f1,1),\"cm\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of converging lens is -9.2 cm\n",
"Focal length of diverging lens is 5.7 cm\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.3 Page no 115"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"f=20.0 #Focal length in cm\n",
"fl=(0.015,0.019) #Dispersive powers of crown and flint glasses respectively\n",
"r=(1.495,1.53) #Refractive indices respectively\n",
"\n",
"#Calculations\n",
"fx=-(fl[0]/fl[1])\n",
"#Solving two equations\n",
"#(1/f)=(1/f1)+(1/f2)\n",
"#(f1/f2)=(-0.015/0.019)\n",
"f2=((1/fx)+1)/(1.0/f)\n",
"f1=(fx*f2)\n",
"r2=(r[1]-1)*f2\n",
"r1=1/(((1/f1)/(r[0]-1))+(1/r2))\n",
"\n",
"#Output\n",
"print\"Radius of curvature of converging lens is \",round(r2,1),\"cm\" \n",
"print\"Radius of curvature of diverging lens is \",round(r1,1),\"cm\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radius of curvature of converging lens is -2.8 cm\n",
"Radius of curvature of diverging lens is 7.9 cm\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.4 Page no 116"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"r=1.5 #Refractive index of the material of a thin lens\n",
"f=-20.0 #Focal length of the lens in cm\n",
"rx=-6.0 #Ratio of radii of curvature of lens\n",
"\n",
"#Calculations\n",
"r1=1/((1/f)/((r-1)*(1-(1/rx))))\n",
"r2=(rx*r1)\n",
"\n",
"#Output\n",
"print\"Radii of curvature of lens are \",round(r1,2),\"cm and\",r2,\"cm\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radii of curvature of lens are -11.67 cm and 70.0 cm\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
