Telegraph equations for the case of a waveguide with moving boundary

2016/02/17 by V.G. Baryshevsky, V. G. Baryshevsky, Baryshevsky, V. G.
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Particle Accelerators and Free-Electron Lasers #Plasma Physics (physics.plasm-ph) #Pulsed Power Technology Applications #physics.class-ph #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1602.05417

9 pages, 2 eps figures

arxiv created 2016/02/17 · openalex publication_date 2016/02/17 · arxiv updated 2016/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Radiation of a point charge uniformly moving along the axis of the circular disc-loaded waveguide
• Modeling of radiating curved cables via coupled telegrapher's and Maxwell's equations
• Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition
• Electrodynamical properties of a "grid" volume resonator for travelling wave tube and backward wave oscillator
• The missing elements in the telegraph equations