Physics · Microwave Engineering
The scattering matrix parameters (S-parameters) of a two-port network are given with reference to a characteristic impedance Z0. If two lossless transmission line sections of electrical lengths θ1 = βl1 and θ2 = βl2 are added to the input and output ports respectively, the modified S-parameters matrix [S'] of the resultant network is given by:
- 1S11e-j2θ1S12ej(θ1+θ2)S21ej(θ1+θ2)S22e-j2θ2
- 2S11ej2θ1S12ej(θ1+θ2)S21ej(θ1+θ2)S22ej2θ2
- 3S11ej2θ1S12e-j(θ1+θ2)S21e-j(θ1+θ2)S22ej2θ2
- 4S11e-j2θ1S12e-j(θ1+θ2)S21e-j(θ1+θ2)S22e-j2θ2✓
Correct answer
S11e-j2θ1S12e-j(θ1+θ2)S21e-j(θ1+θ2)S22e-j2θ2
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