{ "metadata": { "name": "raju Chapter 5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": "Chapter 5: FACTORS AFFECTING RADAR OPERATION AND RADAR LOSSES" }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Example 1,Page No:162" }, { "cell_type": "code", "collapsed": false, "input": "import math\n\n#variable declaration\nprint'mathematically ellipsoid is represented by \\n((x/a)**2)+((y/b)**2)+((z/c)**2) = 1\\n ';\nprint'\\nThe approximate expression for ellipsoid backscattered RCS is given by\\n ';\nprint'\\n\u03c3 =(\u03c0*a**2 b**2 c**2)/[ a**2 (sin\u03b8)**2 (cos\u0278)**+ b**2 (sin\u03b8)**2 (sin\u0278)^2+c**2 (cos\u03b8)**2 ]**2\\n';\nprint'\\nif a = b ,the ellipsoid becomes Roll symmetric,above eqn becomes\\n';\nprint'\\n\u03c3 = (\u03c0* b**4 c**2)/[ a**2 (sin\u03b8)**2 + c**2 (cos\u03b8)**2 ]**2\\n';", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "mathematically ellipsoid is represented by \n((x/a)**2)+((y/b)**2)+((z/c)**2) = 1\n \n\nThe approximate expression for ellipsoid backscattered RCS is given by\n \n\n\u03c3 =(\u03c0*a**2 b**2 c**2)/[ a**2 (sin\u03b8)**2 (cos\u0278)**+ b**2 (sin\u03b8)**2 (sin\u0278)^2+c**2 (cos\u03b8)**2 ]**2\n\n\nif a = b ,the ellipsoid becomes Roll symmetric,above eqn becomes\n\n\n\u03c3 = (\u03c0* b**4 c**2)/[ a**2 (sin\u03b8)**2 + c**2 (cos\u03b8)**2 ]**2\n\n" } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Example 2,Page No:162" }, { "cell_type": "code", "collapsed": false, "input": "import math\n\n#variable declaration\nprint'mathematically ellipsoid is represented by \\n((x/a)**2)+((y/b)**2)+((z/c)**2) = 1\\n ';\nprint'\\nThe approximate expression for ellipsoid backscattered RCS is given by\\n ';\nprint'\\n\u03c3 =(\u03c0*a**2 b**2 c**2)/[ a**2 (sin\u03b8)**2 (cos\u0278)**2+ b**2 (sin\u03b8)**2 (sin\u0278)**+c**2 (cos\u03b8)**2 ]**2\\n';\nprint'\\nif a = b = c ,the ellipsoid becomes a sphere,above eqn becomes\\n';\nprint'\\n\u03c3 = (\u03c0* a**6)/[ a**2 (sin\u03b8)**2 + a**2 (cos\u03b8)**2 ]**2\\n';\nprint'\\n\u03c3 = (\u03c0* a**6)/[ a**4]\\n';\nprint'\\n\u03c3 of sphere is \u03c0*a**2 ' ;", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "mathematically ellipsoid is represented by \n((x/a)**2)+((y/b)**2)+((z/c)**2) = 1\n \n\nThe approximate expression for ellipsoid backscattered RCS is given by\n \n\n\u03c3 =(\u03c0*a**2 b**2 c**2)/[ a**2 (sin\u03b8)**2 (cos\u0278)**2+ b**2 (sin\u03b8)**2 (sin\u0278)**+c**2 (cos\u03b8)**2 ]**2\n\n\nif a = b = c ,the ellipsoid becomes a sphere,above eqn becomes\n\n\n\u03c3 = (\u03c0* a**6)/[ a**2 (sin\u03b8)**2 + a**2 (cos\u03b8)**2 ]**2\n\n\n\u03c3 = (\u03c0* a**6)/[ a**4]\n\n\n\u03c3 of sphere is \u03c0*a**2 \n" } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Example 3,Page No:163" }, { "cell_type": "code", "collapsed": false, "input": "import math\n\n#variable declaration\nprint'As it has Circular symmetry ,RCS of circular flat plate is independent \\n of \u0278 ,RCS depends on aspect angle.\\n';\nprint'\\nFor normal incidence \u03b8 = 0,then\\n';\nprint'\\n\u03c3 = (4*\u03c0**3*r**4)/(\u03bb**2)\\n';\nprint'\\nif r = 1 m then\\n';\nprint'\u03c3 = (4*\u03c0**3)/(\u03bb**2)' ;", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "As it has Circular symmetry ,RCS of circular flat plate is independent \n of \u0278 ,RCS depends on aspect angle.\n\n\nFor normal incidence \u03b8 = 0,then\n\n\n\u03c3 = (4*\u03c0**3*r**4)/(\u03bb**2)\n\n\nif r = 1 m then\n\n\u03c3 = (4*\u03c0**3)/(\u03bb**2)\n" } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Example 4, Page No:163" }, { "cell_type": "code", "collapsed": false, "input": "import math\n\n# Variable Declaration\n\nlamda = 0.03; # wavelength in m\nPt = 250*10**3; # transmitter power\nG = 2000; # antenna gain\nR = 50*10**3; # maximum range\nPr = 10*10**-12; # minimum detectable power\n\n# Calculations\nAe = (lamda*lamda*G)/(4*math.pi); # effective aperture area\nRCS = (Pr*(4*math.pi*R*R)**2)/(Pt*G*Ae); # Radar cross section of the target\n\n# Output\nprint 'Radar cross section of the target is %3.2f'%RCS,'m^2';\n", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Radar cross section of the target is 137.81 m^2\n" } ], "prompt_number": 6 } ], "metadata": {} } ] }