Electromagnetic power and momentum in N-body hamiltonian approach to wave-particle dynamics in a periodic structure

TL;DR

This paper develops a Hamiltonian-based N-body model for wave-particle interactions in periodic structures, providing new formulations for electromagnetic power and momentum, enabling efficient simulations of devices like traveling-wave tubes.

Contribution

It introduces a novel Hamiltonian framework for modeling wave-particle dynamics with new formulations for power and momentum exchange.

Findings

Enables fast, accurate time-domain simulations

Provides new formulas for electromagnetic power and momentum

Applicable to nonlinear wave-particle interaction devices

Abstract

To model momentum exchange in nonlinear wave-particle interaction, as in amplification devices like traveling-wave tubes, we use an $N$-body self-consistent hamiltonian description based on Kuznetsov's discrete model, and we provide new formulations for the electromagnetic power and the conserved momentum. This approach leads to fast and accurate numerical simulations in time domain and in one dimensional space.