Coupling cavity model for circular cylindrical waveguide with uniform cross section

TL;DR

This paper introduces a general method for calculating coupling coefficients in resonator chains, demonstrated on a uniform circular cylindrical waveguide, simplifying analysis without extensive eigenfunction calculations.

Contribution

The paper presents a novel approach to compute coupling coefficients efficiently for arbitrary resonator chains, reducing reliance on numerous eigenfunctions.

Findings

Method successfully applied to a circular cylindrical waveguide with analytical solutions

Allows control over accuracy of coupling coefficient calculations

Simplifies analysis of resonator chains without extensive eigenfunction use

Abstract

We developed the general approach that gives possibility to calculate the coupling coefficients for arbitrary chain of resonators without using the great number of eigen functions. For understanding this method and having possibility to control the accuracy of obtained results, we applied this procedure for simplest structure that has the analytical solutions - a circular cylindrical waveguide with uniform cross section.