A four-port network has the scattering matrix shown as follows.
(a) Is this network lossless?
(b) Is this network reciprocal? (c) What is the return loss at port 1 when all other ports are terminated with matched loads?
(d) What is the insertion loss and phase delay between ports 2 and 4 when all other ports are terminated with matched loads?
(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 terminated with matched loads?