Coupled cavity model based on the mode matching technique

TL;DR

This paper introduces a coupled cavity model based on mode matching that uses eigenmodes to accurately analyze nonuniform disc-loaded waveguides, providing precise circuit parameters with clear physical interpretation.

Contribution

The paper presents a novel coupled cavity model utilizing eigenmodes for improved analysis of nonuniform waveguides, with exact equations and interpretable parameters.

Findings

Exact infinite systems of coupled equations derived

More precise equivalent circuit parameters obtained

Parameters depend on geometry and frequency

Abstract

We have developed the mode matching technique that is based on the using the eigenmodes of circular cavities and the eigenwaves of circular waveguides as the basic functions for calculation the properties of nonuniform disc-loaded waveguides. We have obtained exact infinite systems of coupled equations which can be reduced by making some assumptions. Under such procedure we can receive more exact parameters of nonuniform equivalent circuits by solving the appropriative algebraic systems. These parameters of equivalent circuits are functions both geometric sizes and frequency. Moreover, under such approach all used values have interpretation. We called this approach as coupled cavity model.