A four-port network has the scattering matrix shown below. a. Is this network lossless? b. Is this network reciprocal? c. What is the return loss at port 1 when all the other ports are matched? d. What is the scattering matrix between ports 2 and 4 when all other ports are matched? e. What is the reflection coefficient seen at port 1 if a short circuit is placed at the terminal plane of port 3 and all other ports are matched? 0.7074–45° 0.1290° 0.70745 0.7072-45 0.707445 [s] = 0.7072–45 %3D 0.7072–45° 0.707245 0.7072–45

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Introduction to Microwave Engineering question.

OA four-port network has the scattering matrix shown below.
a. Is this network lossless?
b. Is this network reciprocal?
c. What is the return loss at port 1 when all the other ports are matched?
d. What is the scattering matrix between ports 2 and 4 when all other ports
are matched?
e. What is the reflection coefficient seen at port 1 if a short circuit is placed
at the terminal plane of port 3 and all other ports are matched?
0.1290
0.7072-45
0.707445
0.7072-45°
0.707445°
[s]:
0.7072-45
0.7072-45
0.70745°
0.7072-45°
Transcribed Image Text:OA four-port network has the scattering matrix shown below. a. Is this network lossless? b. Is this network reciprocal? c. What is the return loss at port 1 when all the other ports are matched? d. What is the scattering matrix between ports 2 and 4 when all other ports are matched? e. What is the reflection coefficient seen at port 1 if a short circuit is placed at the terminal plane of port 3 and all other ports are matched? 0.1290 0.7072-45 0.707445 0.7072-45° 0.707445° [s]: 0.7072-45 0.7072-45 0.70745° 0.7072-45°
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