diff options
Diffstat (limited to 'sample_notebooks/VarunSakpal')
| -rw-r--r-- | sample_notebooks/VarunSakpal/chapter_2.ipynb | 600 |
1 files changed, 600 insertions, 0 deletions
diff --git a/sample_notebooks/VarunSakpal/chapter_2.ipynb b/sample_notebooks/VarunSakpal/chapter_2.ipynb new file mode 100644 index 00000000..0a847bfb --- /dev/null +++ b/sample_notebooks/VarunSakpal/chapter_2.ipynb @@ -0,0 +1,600 @@ +{
+ "metadata": {
+ "name": "chapter 2.ipynb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 2: Fundamental Parameters of Antennas"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.1, Page 37"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from scipy.integrate import quad,dblquad\n",
+ "\n",
+ "#formula for beam solid angle theta_a=double_integration of d_omega\n",
+ "theta_a=quad(lambda x:1,0,2*pi)[0]*quad(lambda x:sin(x),0,pi/6)[0]\n",
+ "print 'Exact Beam Solid Angle:',theta_a,'steradians'\n",
+ "\n",
+ "#formula for approx angle=delta1*delta2\n",
+ "delta1=pi/3\n",
+ "delta2=pi/3\n",
+ "theta_a1=delta1*delta2\n",
+ "theta_a1=delta1**2\n",
+ "print 'Approximate Beam Solid Angle:',theta_a1,'steradians'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Exact Beam Solid Angle: 0.841787214477 steradians\n",
+ "Approximate Beam Solid Angle: 1.09662271123 steradians\n"
+ ]
+ }
+ ],
+ "prompt_number": 31
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.7, Page 52"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#The half power point of the pattern occurs at 60 degrees. Therefore theta_1r=2*pi/3\n",
+ "theta_1r=(2*pi)/3\n",
+ "theta_2r=(2*pi)/3\n",
+ "\n",
+ "#Given U=B0*cos(theta)\n",
+ "exact_theta_a=dblquad(lambda x,y:cos(x)*sin(x), 0, (2*pi), lambda x:0, lambda x:(pi/2))\n",
+ "print 'Exact Beam Solid Angle:',exact_theta_a[0],'steradians'\n",
+ "\n",
+ "#Formula for approx theta = theta_1r*theta_2r\n",
+ "approx_theta_a=theta_1r*theta_2r\n",
+ "print 'Approximate Beam Solid Angle:',approx_theta_a,'steradians'\n",
+ "\n",
+ "#formula for exact directivity=4*pi/exact_beam_angle\n",
+ "exact_direct=((4*pi)/(exact_theta_a[0]))\n",
+ "\n",
+ "#formula for approx directivity=4*pi/approx_beam_angle\n",
+ "approx_direct=((4*pi)/(approx_theta_a))\n",
+ "\n",
+ "#exact directivity in dB\n",
+ "exact_direct_db=10*log10(exact_direct)\n",
+ "\n",
+ "#approx directivity in dB\n",
+ "approx_direct_db=10*log10(approx_direct)\n",
+ "\n",
+ "print 'Exact directivity:',exact_direct_db,'dB'\n",
+ "print 'Approx. directivity:',approx_direct_db,'dB'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Exact Beam Solid Angle: 3.14159265359 steradians\n",
+ "Approximate Beam Solid Angle: 4.38649084493 steradians\n",
+ "Exact directivity: 6.02059991328 dB\n",
+ "Approx. directivity: 4.57092636745 dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.8, Page 58"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#Maximum intensity\n",
+ "u_max=1\n",
+ "\n",
+ "#Calculation of radiated power\n",
+ "p_rad=dblquad(lambda x,y:(sin(x)**2)*sin(x),0,2*pi,lambda x:0,lambda x:pi)\n",
+ "print 'Radiated Power:',p_rad[0],'W'\n",
+ "\n",
+ "#Calulation of maximum directivity\n",
+ "D0=(4*pi)/(p_rad[0])\n",
+ "\n",
+ "#Directivity in dB\n",
+ "D0_db=10*log10(D0)\n",
+ "print 'Directivity:',D0_db,'dB'\n",
+ "\n",
+ "deg=90\n",
+ "\n",
+ "#Calculation od directivity\n",
+ "D0_1=101/(deg-0.0027*deg**2)\n",
+ "D0_1_db=10*log10(D0_1)\n",
+ "print 'Directivity:',D0_1_db,'dB'\n",
+ "\n",
+ "#Calculation of directivity\n",
+ "D0_2=(-172.4)+(191*sqrt((0.818+(1/deg))))\n",
+ "D0_2_db=10*log10(D0_2)\n",
+ "print 'Directivity:',D0_2,'dB'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radiated Power: 8.37758040957 W\n",
+ "Directivity: 1.76091259056 dB\n",
+ "Directivity: 1.70982984843 dB\n",
+ "Directivity: 0.346803154212 dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 34
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.9(a), Page 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "B0=1\n",
+ "#Maximum intensity\n",
+ "u_max=1\n",
+ "\n",
+ "#Array containing angles in radians\n",
+ "a=sin(array([10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180])*pi/180)**2\n",
+ "\n",
+ "#Calculation of radiated power\n",
+ "p_rad1=B0*((pi/18)**2)*sum(a)*sum(a)\n",
+ "print 'Power Radiated:',p_rad1,'W'\n",
+ "\n",
+ "#Calculation of directivity\n",
+ "D0=(4*pi)/(p_rad1)\n",
+ "\n",
+ "print 'Directivity using numerical techniques:',D0\n",
+ "\n",
+ "#Calu=culation of radiated power\n",
+ "a=quad(lambda x:sin(x)**2,0,pi)\n",
+ "b=quad(lambda x:sin(x)**2,0,pi)\n",
+ "p_rad2=a[0]*b[0]\n",
+ "\n",
+ "#Directivity\n",
+ "D01=(4*pi)/(p_rad2)\n",
+ "\n",
+ "print 'Directivity:',D01"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Power Radiated: 2.46740110027 W\n",
+ "Directivity using numerical techniques: 5.09295817894\n",
+ "Directivity: 5.09295817894\n"
+ ]
+ }
+ ],
+ "prompt_number": 33
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.9(b), Page 63"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "\n",
+ "B0=1\n",
+ "\n",
+ "#Maximum intensity\n",
+ "u_max=1\n",
+ "\n",
+ "#Arrays containing angles in radians\n",
+ "a=sin(array([5,15,25,35,45,55,65,75,85])*pi/180)**2\n",
+ "b=sin(array([5,15,25,35,45,55,65,75,85])*pi/180)**2\n",
+ "\n",
+ "#Calculation of radiated power\n",
+ "p_rad=B0*((pi/18)**2)*(2*sum(a))*(2*sum(b))\n",
+ "\n",
+ "#Calculation of directivity\n",
+ "D0=(4*pi*u_max)/(p_rad)\n",
+ "\n",
+ "print 'Directivity using 18 divisions:',D0"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Directivity using 18 divisions: 5.09295817894\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.10, Page 68"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#maximum intensuty\n",
+ "u_max=1\n",
+ "B0=1\n",
+ "\n",
+ "#Input impedance in Ohms\n",
+ "inp_imp=73\n",
+ "#Characteristic impedance in Ohms\n",
+ "char_imp=50\n",
+ "\n",
+ "#Calculation of radiated power\n",
+ "p_rad=B0*quad(lambda x:1,0,2*pi)[0]*quad(lambda x:sin(x)**4,0,pi)[0]\n",
+ "\n",
+ "#Calulation of directivity\n",
+ "D0=(4*pi*u_max)/(p_rad)\n",
+ "\n",
+ "#conduction & dielectric efficiency ecd=1 since antenna is loseless\n",
+ "ecd=1\n",
+ "\n",
+ "#Maximum Gain\n",
+ "G0=ecd*D0\n",
+ "G0_db=10*log10(G0)\n",
+ "\n",
+ "#Reflection Coefficient Tau\n",
+ "tau=float(inp_imp-char_imp)/float(inp_imp+char_imp)\n",
+ "\n",
+ "#Reflection efficiency=1-tau**2\n",
+ "er=1-tau**2\n",
+ "er_db=10*log10(er)\n",
+ "\n",
+ "#Total efficiency\n",
+ "e0=er*ecd\n",
+ "e0_db=10*log10(e0)\n",
+ "\n",
+ "#Absolute Gain\n",
+ "G0_abs=e0*D0\n",
+ "G0abs_db=10*log10(G0_abs)\n",
+ "\n",
+ "print 'Maximum Gain:',G0_db\n",
+ "\n",
+ "print 'Reflection efficiency:',er_db\n",
+ "\n",
+ "print 'Total efficiency:',e0_db\n",
+ "\n",
+ "print 'Absolute Gain:',G0abs_db"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum Gain: 2.29848855242\n",
+ "Reflection efficiency: -0.154573670944\n",
+ "Total efficiency: -0.154573670944\n",
+ "Absolute Gain: 2.14391488148\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.11, Page 77"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#unit vector of the wave\n",
+ "rho_w=array([1,0])\n",
+ "\n",
+ "#unit vector of the electric field\n",
+ "rho_a=array([1/sqrt(2),1/sqrt(2)])\n",
+ "\n",
+ "#Polarization factor\n",
+ "PLF=abs(dot(rho_w,rho_a))**2\n",
+ "print 'Polarization Factor:',PLF"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "0.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 56
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.12, Page 78"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#unit vector of the wave\n",
+ "rho_w=array([1/sqrt(2),1/sqrt(2)])\n",
+ "\n",
+ "#unit vector of the electric field\n",
+ "rho_a=array([1/sqrt(2),-1/sqrt(2)])\n",
+ "\n",
+ "#Polarization Factor\n",
+ "PLF=abs(dot(rho_w,rho_a))**2\n",
+ "\n",
+ "print 'Polarization Factor:',PLF"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "0.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 57
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.13, Page 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#Radiation Resistance\n",
+ "rad_res=73\n",
+ "\n",
+ "#Frequency of antenna\n",
+ "f=10**8\n",
+ "\n",
+ "#Velocity\n",
+ "v=3*10**8\n",
+ "\n",
+ "#Wavelength\n",
+ "lamda=v/f\n",
+ "\n",
+ "#Length of antenna\n",
+ "l=lamda/2\n",
+ "\n",
+ "#Perimeter of the antenna\n",
+ "b=(3*10**-4)*lamda\n",
+ "C=2*pi*b\n",
+ "\n",
+ "#value of omega\n",
+ "w=2*pi*f\n",
+ "\n",
+ "#Constant\n",
+ "mu0=4*pi*10**-7\n",
+ "\n",
+ "#Conductivity\n",
+ "sigma=5.7*10**7\n",
+ "\n",
+ "#High frequency resistance\n",
+ "Rhf=(l/C)*(sqrt((w*mu0)/(2*sigma)))\n",
+ "\n",
+ "#Load resistance\n",
+ "Rl=Rhf/2\n",
+ "\n",
+ "#calculation of conduction & dielectric efficiency\n",
+ "ecd=(rad_res)/(rad_res+Rl)\n",
+ "ecd_db=10*log10(ecd)\n",
+ "\n",
+ "print 'Conduction-dielectric efficiency:',ecd_db"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Conduction-dielectric efficiency: -0.0138216614754\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.16, Page 98 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "lamda=1\n",
+ "\n",
+ "#Maximum directivity of transmitter\n",
+ "D0_t_db=16\n",
+ "D0_t=10**(float(D0_t_db)/10)\n",
+ "\n",
+ "#Maximum directivity of receiver\n",
+ "D0_r_db=20\n",
+ "D0_r=10**(D0_r_db/10)\n",
+ "\n",
+ "#Reflection coeficients of transmitter and receiver\n",
+ "tau_r=0.1\n",
+ "tau_t=0.2\n",
+ "\n",
+ "#Power at transmitter\n",
+ "P_t=2\n",
+ "\n",
+ "#Calculation of Power to the receiver\n",
+ "P_r=(1-tau_r**2)*(1-tau_t**2)*((lamda/(4*pi*100*lamda))**2)*D0_t*D0_r*P_t\n",
+ "print 'Power delivered to the load of receiver:',P_r,'W'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Power delivered to the load of receiver: 0.00479199874075 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.18, Page 108"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import scipy\n",
+ "\n",
+ "#antenna temp at receiver terminals\n",
+ "Ta=150\n",
+ "\n",
+ "#physical temp of transmission line\n",
+ "T0=300\n",
+ "\n",
+ "#thermal efficiency of the antennna\n",
+ "eA=0.99\n",
+ "\n",
+ "#antenna physical temperature\n",
+ "Tp=300\n",
+ "l=1\n",
+ "\n",
+ "#antenna temp at antenna terminals due to physical temperature\n",
+ "T_ap=Tp*(1/eA-1)\n",
+ "\n",
+ "#Loss of waveguide in dB/m\n",
+ "alpha_db=0.13\n",
+ "\n",
+ "#Loss of waveguide in Np/m\n",
+ "alpha_np=alpha_db/0.868\n",
+ "\n",
+ "#Calulation of effective temperature\n",
+ "T_A=Ta*exp(-l*alpha_np*2)+T_ap*exp(-l*alpha_np*2)+T0*(1-exp(-l*alpha_np*2))\n",
+ "print 'Effective temperature:',T_A,'K'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Effective temperature: 191.071984919 K\n"
+ ]
+ }
+ ],
+ "prompt_number": 23
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |