Statistics of Impedance and Scattering Matrices of Chaotic Microwave Cavities with Multiple Ports

TL;DR

This paper extends a statistical model to multiport chaotic microwave cavities, validating it with simulations and deriving formulas for transmission and reflection based on impedance, enhancing understanding of complex scattering systems.

Contribution

It generalizes a statistical model to multiport systems and derives new formulas for scattering parameters, validated through numerical simulations.

Findings

Model is consistent with Random Matrix Theory.

Derived formulas for average transmission and reflection.

Validated predictions with numerical simulations.

Abstract

The statistical model proposed in an accompanying paper is generalized to treat multiport scattering problems. Attention is first focused on two-port lossless systems and the model is shown to be consistent with Random Matrix Theory. The predictions are then tested by direct numerical simulation for a specific two-port cavity. Formula are derived for the average transmission and reflection coefficients in terms of the port radiation impedance. The cases of cavity with multiple ports, and with a single port and distributed losses are compared.