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path: root/Satellite_Communications/Chapter_6.ipynb
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 6: Antennas"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.1, Page 137"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "from pylab import *\n",
      "%matplotlib inline\n",
      "#Variable Decalration\n",
      "a=3\n",
      "b=2\n",
      "dB=1\n",
      "\n",
      "#Calculation\n",
      "#Initializations\n",
      "tita=arange(-90,92,2)\n",
      "tita[45]=1\n",
      "tita1=arange(-90,92,2)\n",
      "Y=linspace(0,0,91)\n",
      "E=linspace(0,0,91)\n",
      "gE=linspace(0,0,91)\n",
      "GE=linspace(0,0,91)\n",
      "X=linspace(0,0,91)\n",
      "E1=linspace(0,0,91)\n",
      "gH=linspace(0,0,91)\n",
      "GH=linspace(0,0,91)\n",
      "for i in range(0,size(Y)-1):\n",
      "   Y[i]=math.pi*b*math.sin(tita[i]*3.142/180)\n",
      "   X[i]=math.pi*a*math.sin(tita[i]*3.142/180)\n",
      "   E[i]=(math.sin(Y[i]))/Y[i]   \n",
      "   E1[i]=math.cos(tita1[i]*3.142/180)*(math.sin(X[i]))/X[i]\n",
      "   gE[i]=(E[i])**2   #Raiation pattern in E-Plane\n",
      "   gH[i]=E1[i]**2    #Raiation pattern in H-Plane\n",
      "   GE[i]=10*math.log10(gE[i])  #Raiation pattern in E-Plane(dB)\n",
      "   GH[i]=10*math.log10(gH[i])  #Raiation pattern in H-Plane(dB)\n",
      "\n",
      "#Results\n",
      "\n",
      "figure(0)\n",
      "plot(tita,GE)   #Plotting E-Plane radiation pattern\n",
      "ylim([-30,0])\n",
      "xlim([-90,90])\n",
      "xlabel('tita degrees')\n",
      "ylabel('GE(tita)')\n",
      "figure(1)\n",
      "plot(tita1,GH)  #Plotting H-Plane radiation pattern\n",
      "ylim([-30,0])\n",
      "xlim([-90,90])\n",
      "xlabel('tita degrees')\n",
      "ylabel('GH(tita)')\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HJQMFuHKFbSL1+uu8IzGesaUiGhnIg7EjA6V2EpU3dSorFRnyRip3lAwU4Ouv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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x321d450>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9qB7MgVpFykDJgEiOKgPlaaoyMFeLiEfTS5WB2kREcuasDGjMQJimKgNzJwOq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\nAkoGhBBCAPx/Kt27827mDS4AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x423ebd0>"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.2, Page 159"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "from pylab import *\n",
      "%matplotlib inline\n",
      "#Varable Declaration\n",
      "\n",
      "N=5   #Number of elements of dipole\n",
      "s=0.25 #Space between dipole elements(wavelengths)\n",
      "phi0=0#Angle between array factor and array(degrees)\n",
      "\n",
      "#Calculation\n",
      "\n",
      "alpha=-2*3.142*s*math.cos(phi0)  #Current phase(radians)\n",
      "phi=arange(-180,182,2)\n",
      "Si=linspace(0,0,181)\n",
      "for k in range(0,180):\n",
      "    Si[k]=alpha+2*3.142*s*math.cos(phi[k]*3.142/180)\n",
      "AFR=linspace(0,0,181)\n",
      "AFI=linspace(0,0,181)\n",
      "for i in range(0,180):\n",
      "  for j in range(0,N-1):\n",
      "     AFR[i]=AFR[i]+math.cos(j*Si[i])  #Real part of Array factor\n",
      "     AFI[i]=AFI[i]+math.sin(j*Si[i])#Imaginary part of Array factor\n",
      "\n",
      "teta=linspace(-3.142,3.142,181)\n",
      "AF=linspace(0,0,181)\n",
      "for k in range(0,180):\n",
      "   AF[k]=AF[k]+(AFR[k]**2+AFI[k]**2)**0.5\n",
      "\n",
      "#Result\n",
      "\n",
      "polar(teta,AF)\n",
      "title('Polar plot of Array Factor')\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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RHjx4gLGxsWpr71VDFUbrxsZG3LNnT5vPGAwGkVE4NzcXraysmPHx8eOwC7w7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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x35677d0>"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.3, Page 160"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "from pylab import *\n",
      "%matplotlib inline\n",
      "#Varable Declaration\n",
      "\n",
      "N=5   #Number of elements of dipole\n",
      "s=0.25 #Space between dipole elements(wavelengths)\n",
      "phi0=90*math.pi/180 #Angle between array factor and array(radians)\n",
      "\n",
      "#Calculation\n",
      "\n",
      "alpha=-2*math.pi*s*math.cos(phi0)  #Current phase(radians)\n",
      "phi=arange(-180,185,5)\n",
      "Si=linspace(0,0,73)\n",
      "for k in range(0,73):\n",
      "    Si[k]=alpha+2*math.pi*s*math.cos(phi[k]*math.pi/180)\n",
      "\n",
      "AFR=linspace(0,0,73)\n",
      "AFI=linspace(0,0,73)\n",
      "\n",
      "for i in range(0,73):\n",
      "  for j in range(0,N):\n",
      "     AFR[i]=AFR[i]+math.cos(j*Si[i])  #Real part of Array factor\n",
      "     AFI[i]=AFI[i]+math.sin(j*Si[i])#Imaginary part of Array factor\n",
      "\n",
      "teta=phi*math.pi/180\n",
      "AF=linspace(0,0,73)\n",
      "for k in range(0,73):\n",
      "   AF[k]=AF[k]+(AFR[k]**2+AFI[k]**2)**0.5\n",
      "\n",
      "#Result\n",
      "\n",
      "polar(teta,AF)\n",
      "title('Polar plot of Array Factor')\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SkpIgOjq6/ljZOZuMDAAfH7qs0j58fQFevFBNB0VRcPLkSfFfTw1w5swZqKmp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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3489950>"
       ]
      }
     ],
     "prompt_number": 2
    }
   ],
   "metadata": {}
  }
 ]
}