Telegraph equations for the case of a waveguide with moving boundary

TL;DR

This paper derives telegraph equations for electromagnetic wave behavior in a waveguide with a moving boundary, revealing how oscillation characteristics depend on resonator parameters and can lead to exponential growth affecting radiation losses.

Contribution

It introduces new telegraph equations for waveguides with moving boundaries and analyzes their impact on electromagnetic oscillations and radiation losses.

Findings

Oscillations depend on resonator parameters.

Under certain conditions, oscillations grow exponentially.

Radiation losses are significantly affected.

Abstract

Telegraph equation describing the compression of electromagnetic waves in a waveguide (resonator) with moving boundary are derived. It is shown that the character of oscillations of the compressed electromagnetic field depends on the parameters of the resonator, and under certain conditions, the oscillations of voltage (current) yield the exponential growth, leading to a noticeable change in the radiation losses.