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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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-rw-r--r--3773/CH12/EX12.1/Ex12_1.sce38
-rw-r--r--3773/CH12/EX12.2/Ex12_2.sce32
-rw-r--r--3773/CH12/EX12.3/Ex12_3.sce21
3 files changed, 91 insertions, 0 deletions
diff --git a/3773/CH12/EX12.1/Ex12_1.sce b/3773/CH12/EX12.1/Ex12_1.sce
new file mode 100644
index 000000000..d3a61f962
--- /dev/null
+++ b/3773/CH12/EX12.1/Ex12_1.sce
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+//Chapter 12: The Cylindrical Antenna and the Moment Method
+//Example 12-12.1
+clc;
+
+//Variable Initialization
+N = 3 //Piecewise sinusoidal dipole modes (unitless)
+l = 1/10.0 //Dipole length (lambda)
+z11_exact = 0.4935 - 3454*%i //Exact impedance vector(ohm)
+z11_apprx = 0.4944 - 3426*%i //Approximate impedance vector(ohm)
+z12_exact = 0.4935 + 1753*%i //Exact impedance vector(ohm)
+z12_apprx = 0.4945 + 1576*%i //Approximate impedance vector(ohm)
+z13_exact = 0.4935 + 129.9*%i //Exact impedance vector(ohm)
+z13_apprx = 0.4885 + 132.2*%i //Approximate impedance vector(ohm)
+
+//Calculations
+N2 = N + 1 //Number of equal segments (unitless)
+d = l/4 //Length of each segment (lambda)
+Rmn = 20*(2*%pi*d)**2 //Real part of elements of Z-matrix, Zmn (VA)
+zmat_apprx=([z11_apprx+z13_apprx,z12_apprx;2*z12_apprx,z11_apprx])//matrix(unitless)
+vmat = ([0;1]) //Voltage matrix (unitless)
+[i1]=linsolve(zmat_apprx,vmat) //Current matrix (unitless)
+i1=i1*-1
+i_ratio = i1(2)/i1(1) //Current ratio (unitless)
+zin = vmat(2)/i1(2) //Input impedance (ohm)
+
+
+zmat_exact =([z11_exact+z13_exact,z12_exact;2*z12_exact,z11_exact])
+[i1_e] = linsolve(zmat_exact,vmat) //Current matrix (unitless)
+i1_e=i1_e*-1
+i_ratio_exact = i1_e(2)/i1_e(1) //Current ratio (unitless)
+zin_exact = vmat(2)/i1_e(2) //Input impedance (ohm)
+
+
+//Result
+mprintf("The current ratio is %.2f+%.4f j",real(i_ratio),imag(i_ratio))
+mprintf("\nThis is nearly equal to 1.9 indicating a nearly triangular current distribution")
+mprintf("\nThe input impedance is %.3f%.3fj ohm using approximate values", real(zin),imag(zin))
+mprintf("\nThe input impedance is %.3f%.3fj ohm using exact values", real(zin_exact),imag(zin_exact))
diff --git a/3773/CH12/EX12.2/Ex12_2.sce b/3773/CH12/EX12.2/Ex12_2.sce
new file mode 100644
index 000000000..ab3113674
--- /dev/null
+++ b/3773/CH12/EX12.2/Ex12_2.sce
@@ -0,0 +1,32 @@
+//Chapter 12: The Cylindrical Antenna and the Moment Method
+//Example 12-12.2
+clc;
+
+//Variable Initialization
+z_load = 2.083 + 1605*%i //Conjugate matched load (ohm)
+e0 = 1.0 //Electric field magnitude (unitless)
+l = 1/10.0 //Length of dipole (lambda)
+ima = 0+1*%i //Imaginary number
+
+z11_exact = 0.4935 - 3454*%i //Exact impedance vector(ohm)
+z11_apprx = 0.4944 - 3426*%i //Approximate impedance vector(ohm)
+z12_exact = 0.4935 + 1753*%i //Exact impedance vector(ohm)
+z12_apprx = 0.4945 + 1576*%i //Approximate impedance vector(ohm)
+z13_exact = 0.4935 + 129.9*%i //Exact impedance vector(ohm)
+z13_apprx = 0.4885 + 132.2*%i //Approximate impedance vector(ohm)
+
+//Calculation
+d = l/4 //Length of each segment (lambda)
+vm = (2*e0/(2*%pi))*tan(2*%pi*d/2) //Voltage vector (VA)
+z22 = z11_exact + z_load //Impedance matrix for loaded dipole (VA)
+zmat_exact =([z11_exact+z13_exact,z12_exact;2*z12_exact,z22])//Z(impedance) matrix (unitless)
+vmat = ([vm;vm]) //Voltage matrix (unitless)
+[i1]= linsolve(zmat_exact,vmat) //Current matrix (unitless)
+i1=i1*-1
+i3 = i1(1) //Current vector (unitless)
+e_zn = (60*tan(2*%pi*d/2))*ima //Free space electric field (V/m)
+e_s = i1(1)*e_zn + i1(2)*e_zn + i3*e_zn //Scattered field (V/m)
+sigma = 4*%pi*(abs(e_s)**2)/(abs(e0)**2) //Radar Cross section (lambda**2)
+
+//Result
+mprintf("The radar cross section using exact values of Z matrix is %.4f lambda square",sigma(1))
diff --git a/3773/CH12/EX12.3/Ex12_3.sce b/3773/CH12/EX12.3/Ex12_3.sce
new file mode 100644
index 000000000..180c7bee2
--- /dev/null
+++ b/3773/CH12/EX12.3/Ex12_3.sce
@@ -0,0 +1,21 @@
+//Chapter 12: The Cylindrical Antenna and the Moment Method
+//Example 12-12.3
+clc;
+
+//Variable Initialization
+z11_exact = 2-1921*%i //Exact impedance vector (ohm)
+z12_exact = 1.9971-325.1*%i //Exact impedance vector (ohm)
+
+z11_apprx = 1.9739-1992*%i //Approximate impedance vector (ohm)
+z12_apprx = 1.9739-232.8*%i //Approximate impedance vector (ohm)
+
+vmat =([1;0])
+
+//Calculations
+zmat_exact =([z11_apprx,z12_apprx;z12_apprx, z11_apprx]) //Impedance matrix (unitless)
+[i1] = linsolve(zmat_exact,vmat) //Current matrix (unitless)
+i1=i1*-1
+zin = 1/i1(1)
+
+//Result
+mprintf("The input impedance for order N = 2 is %.3f%.3fi ohm",real(zin),imag(zin))