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authorPrashant S2020-04-14 10:25:32 +0530
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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 37: Diffraction"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 37.1: Sample_Problem_1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"exec('degree_rad.sci', -1)\n",
+"\n",
+"//Given that\n",
+"lambda = 650*10^-9 //in meter\n",
+"theta = dtor(15) //in radians\n",
+"\n",
+"//Sample Problem 37-1a\n",
+"printf('**Sample Problem 37-1a**\n')\n",
+"//We know that [a*sin(theta) = m*lambda] for m=Integer\n",
+"m = 1\n",
+"a = m*lambda/sin(theta)\n",
+"printf('The slit width is equal to %fnm\n', a*10^9)\n",
+"\n",
+"//Sample Problem 37-1b\n",
+"printf('\n**Sample Problem 37-1b**\n')\n",
+"m = 3/2 //for first side maxima\n",
+"lambdaDESH = a*sin(theta)/ m\n",
+"printf('The wavelength of the light is equal to %fnm', lambdaDESH*10^9)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 37.2: Sample_Problem_2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Sample Problem 37-2\n",
+"printf('**Sample Problem 37-2**\n')\n",
+"I = [];\n",
+"for m = 1:3\n",
+" theta = (m+.5)*%pi\n",
+" I = [I, (sin(theta)/theta)^2]\n",
+"end\n",
+"printf('The intensities of secondary maximas relative to intensity of CBF is-\n')\n",
+"printf('\tI1/Im = %.4f\n', I(1))\n",
+"printf('\tI2/Im = %.4f\n', I(2))\n",
+"printf('\tI3/Im = %.4f', I(3))"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 37.3: Sample_Problem_3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"d = 32*10^-3 //in meter\n",
+"f= 24*10^-2 //in meter\n",
+"lam = 550*10^-9 //in meter\n",
+"\n",
+"//Sample Problem 37-3a\n",
+"printf('**Sample Problem 37-3a**\n')\n",
+"theta = 1.22*lam/d\n",
+"printf('Angular sepration should be equal to %erad\n', theta)\n",
+"\n",
+"//Sample Problem 37-3b\n",
+"printf('\n**Sample Problem 37-3b**\n')\n",
+"deltaX = f*theta\n",
+"printf('The sepration between the two images is %em', deltaX)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 37.4: Sample_Problem_4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"l = 405*10^-9 //in meter\n",
+"d = 19.44*10^-6 //in meter\n",
+"a = 4.050*10^-6 //in meter\n",
+"\n",
+"//Sample Problem 37-4a\n",
+"printf('**Sample Problem 37-4a**\n')\n",
+"n = floor(d/a)\n",
+"printf('The number of bright fringes are %d\n', 2*n+1)\n",
+"\n",
+"//Sample Problem 37-4b\n",
+"printf('\n**Sample Problem 37-4b**\n')\n",
+"num = ceil(2*d/a)\n",
+"printf('The number of bright fringes within either of the first side peak is %d', num/2 - 1)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 37.5: Sample_Problem_5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"exec('degree_rad.sci', -1)\n",
+"\n",
+"//Given that\n",
+"N = 1.26*10^4\n",
+"w = 25.4*10^-3 //in meter\n",
+"l1 = 589*10^-9 //in meter\n",
+"l2 = 589.59*10^-9 //in meter\n",
+"\n",
+"//Sample Problem 37-5a\n",
+"printf('**Sample Problem 37-5a**\n')\n",
+"d = w/N\n",
+"m = 1\n",
+"theta = asin(m*l1/d)\n",
+"theta = rtod(theta)\n",
+"printf('The first order maxima occurs at an angle of %fdegree from the center\n', theta)\n",
+"\n",
+"//Sample Problem 37-5b\n",
+"printf('\n**Sample Problem 37-5b**\n')\n",
+"theta = rtod(theta)\n",
+"D = m/(d*cos(theta))\n",
+"deltaL = l2-l1\n",
+"deltaTHETA = D*deltaL\n",
+"printf('The anglar sepration between the two first orderlines is %erad\n', deltaTHETA)\n",
+"\n",
+"//Sample Problem 37-5c\n",
+"printf('\n**Sample Problem 37-5c**\n')\n",
+"Lavg = (l1+l2)/2\n",
+"R = Lavg/(m*deltaL)\n",
+"N = R/m\n",
+"printf('The least number of rulings a grating can have is %d', N)"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}