mwavepy.network.Network.passivity¶

Network.passivity¶

passivity metric for a multi-port network.

This returns a matrix who’s diagonals are equal to the total power received at all ports, normalized to the power at a single excitement port.

mathmatically, this is a test for unitary-ness of the s-parameter matrix [1].

for two port this is

$( |S_{11}|^2 + |S_{21}|^2 \, , \, |S_{22}|^2+|S_{12}|^2)$

in general it is

$S^H \cdot S$

where $H$ is conjugate transpose of S, and $\cdot$ is dot product.

Returns :	passivity : numpy.ndarray of shape fxnxn

References

[1]	http://en.wikipedia.org/wiki/Scattering_parameters#Lossless_networks