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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 3: Antenna Terminology"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.10: Calculate_front_to_back_ratio.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.10\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"P1=30;//in KW\n",
+"P1=P1*1000;//in W\n",
+"P2=5000;//in W\n",
+"Gdb=10*log10(P1/P2);//unitless\n",
+"disp(Gdb,'Front to back ratio = Gdb = ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.11: Determine_Gain_for_received_power.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.11\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"f=10;//in GHz\n",
+"f=f*10^9;//in Hz\n",
+"Gt=40;//in dB\n",
+"Gr=40;//in dB\n",
+"disp(Gt,'Gain = Gt = Gr : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.12: Find_out_Efficiency_of_Antenna_and_power_gain.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.12\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"L=10;//in m\n",
+"f=1.5;//in MHz\n",
+"f=f*10^6;//in Hz\n",
+"X=350;//in Ohm\n",
+"Q=100;//Coil parameter\n",
+"c=3*10^8;//speed of light in m/s\n",
+"lambda=c/f;//in Meter\n",
+"l_eff=2*L/2;//in m\n",
+"Re=2*X/Q;//in Ohm\n",
+"Rr=40*%pi^2*(l_eff/lambda)^2;//in hm\n",
+"Gd=(3/2)*(lambda^2/(4*%pi));//unitless\n",
+"ETA=Rr/(Rr+Re);//Efficiency unitless\n",
+"Gp=Gd*ETA;////unitless\n",
+"disp(ETA*100,'Antenna Efficiency in % : ');\n",
+"disp(Gp,'Power gain : ');\n",
+"//Note : Answer of Gp is wrong in the book."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.13: Determine_Quality_factor.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.13\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"delf=600;//in KHz\n",
+"fr=50;//in MHz\n",
+"Q=(fr*10^6)/(delf*10^3);//unitless\n",
+"disp(Q,'Quality Factor : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.14: Calculate_Directivity_of_Isotropic_Antenna.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.14\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"OmegaA=4*%pi;//For isotropic Antenna\n",
+"D=4*%pi/OmegaA;//Directivity : Unitless\n",
+"disp(D,'Directivity of Isotropic Antenna : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.15: Calculate_Maximum_effective_aperture.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.15\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"D=500;//Directivity : Unitless\n",
+"format('v',6)\n",
+"disp('D = (4*%pi/lambda^2)*Aem');\n",
+"disp('Aem = D*lambda^2/(4*%pi)');\n",
+"disp('Aem ='+string(D/(4*%pi))+'lambda^2');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.16: Find_Effective_Noise_Temperature.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.16\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data\n",
+"Fn_dB=1.1;//in dB\n",
+"Fn=10^(Fn_dB/10);//unitless\n",
+"To=290;//in Kelvin\n",
+"Te=To*(Fn-1);//in Kelvin\n",
+"disp(Te,'Effective Noise Temperature in Kelvin : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.19: Find_Gain_Beamwidth_and_Capture_area.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.19\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data\n",
+"format('v',9);\n",
+"D=6;//in meter\n",
+"f=10;//in GHz\n",
+"f=f*10^9;//in Hz\n",
+"Aactual=%pi*D^2/4;//in m^2\n",
+"Ae=0.6*Aactual;//in m^2\n",
+"c=3*10^8;//speed of light in m/s\n",
+"lambda=c/f;//in Meter\n",
+"G=4*%pi*Ae/lambda^2;//Unitless\n",
+"Gdb=10*log10(G);//gain in dB\n",
+"BWFN=140*lambda/D;//in degree\n",
+"disp(G,'Gain : ');\n",
+"disp(Gdb,'Gain in dB : ');\n",
+"disp(BWFN,'Beamwidth in degree : ');\n",
+"disp(Ae,'Capture Area in m^2 : ');\n",
+"//Note : Answer in the book is not accurate."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.1: Calculate_strength_of_magnetic_field.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.1\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"E=10;//in V/m\n",
+"ETA_o=120*%pi;//Constant\n",
+"H=E/ETA_o;//in A/m\n",
+"disp(H,'The Magnetic Field Strength in A/m : ');\n",
+"//Note : Answer is wrong in the book."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.20: Find_Beamwidth.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.20\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data\n",
+"Gdb=44;//gain in dB\n",
+"G=10^(Gdb/10);//gain unitless\n",
+"OmegaB=4*%pi/G;//n steradian\n",
+"THETA3db=sqrt(4*OmegaB/%pi);//in Radian\n",
+"disp(THETA3db,'Beamwidth THETA3db in degree : ');\n",
+"//Note : Answer in the book is not accurate."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.2: Calculate_field_strength_at_receiver.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.2\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"W=25;//in KW\n",
+"W=W*10^3;//in W\n",
+"r=3;//in Km\n",
+"r=r*10^3;//in m\n",
+"Erms=sqrt(90*W)/r;//in V/m\n",
+"disp(Erms,'Field strength at reciever in V/m :');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.3: Calculate_radiation_resistance_power_radiated_and_antenna_efficiency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.3\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"le=125;//in m\n",
+"Irms=5;//in A\n",
+"lambda=1.25;//in Km\n",
+"lambda=lambda*10^3;//in m\n",
+"Rl=10;//in Ohm\n",
+"//radiation Resistance\n",
+"Rr=(80*%pi^2)*(le/lambda)^2;//in Ohm\n",
+"Rr=round(Rr);//in Ohm : approx\n",
+"disp(Rr,'Radiation resistance in Ohm : ');\n",
+"//Power radiated\n",
+"W=(Irms^2)*Rr;//in \n",
+"disp(W,'Power radiated in W : ')\n",
+"//Antenna efficiency \n",
+"ETA=Rr/(Rr+Rl)\n",
+"disp(ETA*100,'Antenna efficiency in % : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.4: Determine_E_and_H_field.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.4\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"r=1;//in Km\n",
+"r=r*10^3;//in m\n",
+"I=0.5;//in A\n",
+"//For theta = 45 degree\n",
+"theta=45 ;//in degree\n",
+"E=(60*I/r)*((cos(%pi*cos(theta*%pi/180)/2))/sin(theta*%pi/180));\n",
+"disp(E*10^3,'E-Field for 45 degree angle in mV/m :');\n",
+"ETA_o=120*%pi;//constant\n",
+"H=E/ETA_o;//in A/m\n",
+"disp(H*10^3,'H-Field for 45 degree angle in mV/m :');\n",
+"\n",
+"//For theta = 90 degree\n",
+"theta=90 ;//in degree\n",
+"E=(60*I/r)*((cos(%pi*cos(theta*%pi/180)/2))/sin(theta*%pi/180));\n",
+"disp(E*10^3,'E-Field for 90 degree angle in mV/m :');\n",
+"ETA_o=120*%pi;//constant\n",
+"H=E/ETA_o;//in A/m\n",
+"disp(H*10^3,'H-Field for 90 degree angle in mV/m :');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.5: Find_Radiation_Resistance.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.5\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"//l=lambda/10 meter\n",
+"//Assume %pi^2 = 10\n",
+"Rl=2;//in Ohm\n",
+"disp('Rr=80*%pi^2*(dl/lambda)^2');\n",
+"disp('dl/lambda = 1/10 : as l=lambda/10 ');\n",
+"Rr=80*10*(1/10)^2;//in Ohm\n",
+"disp(Rr,'Radiation Resistance in Ohm : ');\n",
+"ETA=Rr/(Rr+Rl);//in Ohm\n",
+"disp(ETA*100,' Efficiency inn % : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.6: Directivity_gain_effective_aperture_beam_solid_angle.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.6\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"//l=lambda/15 meter\n",
+"//Assume %pi^2 = 10\n",
+"Rl=2;//in Ohm\n",
+"//Gain : \n",
+"Gain=5.33/4;//Unitless\n",
+"//Directivity\n",
+"Rr=80*10*(1/15)^2;//in Ohm\n",
+"ETA=Rr/(Rr+Rl);//Unitless\n",
+"Directivity=Gain/ETA;//unitless\n",
+"//Beam solid angle \n",
+"BSA=4*%pi/Directivity;//in steradian\n",
+"disp(Directivity,'Directivity : ');\n",
+"disp(Gain,'Gain = Pt/Pr = ');\n",
+"//Effective aperture\n",
+"disp('Effective aperture = G*lambda^2/(4*%pi) ');\n",
+"disp(string(Gain/(4*%pi))+'lambda^2');\n",
+"disp(BSA,'Beam Solid Angle in steradian : ');\n",
+"disp('Radiation Resistance :')\n",
+"disp('Rr=80*%pi^2*(dl/lambda)^2 in Ohm');\n",
+"disp('dl/lambda = 1/15 : as l=lambda/10 ');\n",
+"Rr=80*10*(1/15)^2;//in Ohm\n",
+"disp(Rr,'Radiation Resistance in Ohm : ');\n",
+"disp('Pt = Area of sphere * (E^2/(120*%pi))');\n",
+"disp('Pt = ((4*%pi^2)/(120*%pi))*((60*%pi*I/r)*(dl/lambda)^2)');\n",
+"disp('Pt=120*%pi^2*(lambda*15/lambda)*I^2');\n",
+"disp('Pt = '+string(120*10/225)+'I^2');\n",
+"disp('Pr = I^2*Rr = 4*I^2');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.7: calculate_Gain_and_Bandwidth.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.7\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"D=30;//in m\n",
+"k=0.55;//illumination efficiency\n",
+"f=4;//in GHz\n",
+"f=f*10^9;//in Hz\n",
+"c=3*10^8;//speed of light in m/s\n",
+"lambda=c/f;//in Meter\n",
+"r=D/2;//in m\n",
+"A=%pi*(r^2);//in m^2\n",
+"G=(4*%pi/lambda^2)*k*A;//Unitless\n",
+"disp(G,'Gain : ');\n",
+"HPBW=70*lambda/D;//in Degree\n",
+"disp(HPBW,'HPBW in Degree : ');\n",
+"BWFN=2*70*lambda/D;//in Degree\n",
+"disp(BWFN,'BWFN in Degree : ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.8: Calculate_Directivity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.8\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Rl=20;//in Ohm\n",
+"Rr=100;//in Ohm\n",
+"Gp=25;//power gain \n",
+"ETA=Rr/(Rr+Rl);//Unitless\n",
+"D=Gp/ETA;//unitless\n",
+"disp(D,'Directivity : ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.9: Calculate_Maximum_effective_aperture.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Exa 3.9\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"lambda=10;//in m\n",
+"D=80;//unitless\n",
+"Aem=D*lambda^2/(4*%pi);//in m^2\n",
+"disp(Aem,'Maximum effective aperture in m^2 : ');"
+ ]
+ }
+],
+"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
+}
generated by cgit (git 2.34.1) at 2025-03-12 22:25:48 +0000