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V: Voltage at port
ZL: Load at port
Z0: Reference Impedance(Characteristic Impedance)
I: Current at port (one port)
I1: Current at port1 (two ports)
I2: Current at port2 (two ports)
Zin: antenna Input Impedance
S11:Reflection Coefficient at port
ZS: Source Impedance(=Z0)
Zin=V/I-ZL-ZS
S11=(ZL+Zin-Z0)/(ZL+Zin+Z0)
Symmetric two port network:
S21=S12=-(1 - S11)*I2/I1
Example1: one port
frequency=75E6(Hertz), half-wavelength dipole, ZS=Z0=50(Ohm), ZL=81.9004-j46.3553(Ohm), V=1(Volt), Segment length=0.01(m), Wire segment radius=0.001(m)
Result solved by FEKO
I= 4.67725191*10^-03 + j*2.32167091*10^-10(Ampere)
S11=5.32274783*10^-01 - j*2.32167103*10^-08
Verify Zin=V/I-ZS-ZL=81.9004+j46.3553(Ohm), S11=(ZL+Zin-Z0)/(ZL+Zin+Z0)
Example2: two ports
frequency=75E6(Hertz), two identical half-wavelength dipole, spacing=lambda/2, ZS=Z0=50(Ohm), ZL=0, V1=1(Volt), Segment length=0.1(m), Wire segment radius=0.01(m)
Result solved by FEKO
I1 = 7.05323089*10^-03 + j*-2.12397124*10^-03(Ampere)
I2 = -2.63709167* 10^-04 + j*-2.68102041*10^-04(Ampere)
S12 = 2.63709165*10^-02 + j*2.68102027*10^-02
S22 = 2.94676900*10^-01 + j*2.12397128*10^-01
Verify S11=(ZL+Zin-Z0)/(ZL+Zin+Z0) and S21=S12=-(1 - S11)*I2/I1
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