Question

A microwave circuit includes a source, transmission line and a load. The S-parameters of the network are:

S₁₁= 0.37∡ - 25.9, S₁₂= S₂₁= 0.6, S₂₂= 0.4 - j0.6
(a) Is the network reciprocal? Why?

Answer 1

The network is reciprocal because S₁₂ equals S₂₁, indicating that the transmission characteristics are the same in both directions between any pair of ports.

Step-by-step explanation:

A microwave circuit including a source, transmission line, and a load can be analyzed using S-parameters. The question asks whether the network is reciprocal given the S-parameters S₁₁= 0.37∠ - 25.9, S₁₂= S₂₁= 0.6, S₂₂= 0.4 - j0.6.

Reciprocity in a network means that the transmission characteristics are the same in both directions between any pair of ports. For a two-port network to be considered reciprocal, S₁₂ must equal S₂₁. As the given S-parameters show that S₁₂ equals S₂₁, we can infer that the network is indeed reciprocal.