Frequency-domain formulation of signal propagation in multistrip Resistive Plate Chambers and its low-loss, weak-coupling analytical approximation

TL;DR

This paper develops an exact frequency-domain model for signal propagation in multistrip Resistive Plate Chambers, including losses, and provides a simplified analytical approximation for weak coupling and low-loss scenarios.

Contribution

It introduces a frequency-domain formulation and a low-loss, weak-coupling analytical approximation for signal propagation in multistrip Resistive Plate Chambers.

Findings

Exact frequency-domain formulation including losses.

Analytical expressions for weak coupling and low losses.

Estimation of modal dispersion effects.

Abstract

In this study the signal propagation in multistrip Resistive Plate Chambers is formulated exactly in the framework of the multiconductor transmission line theory in the frequency domain, allowing losses to be incorporated. For the case of weak coupling and low losses a first-order expansion yields simple, fully analytical, expressions that include reflections. In this approximation the modal spectrum can be calculated analytically as well, allowing to estimate easily the strength of the modal dispersion phenomenon.