Beam Dynamics in a Double-Channel Waveguide with Gain and Loss

TL;DR

This paper investigates the complex beam dynamics in a double-channel waveguide with gain and loss, revealing three distinct behaviors and validating the theoretical model with numerical simulations.

Contribution

It introduces a coupled-mode approach to analyze beam dynamics in gain-loss waveguides and identifies three unique dynamical regimes.

Findings

Identification of three dynamical behaviors: amplification, attenuation, and steady state.

Theoretical results align well with numerical simulations.

Provides insights into controlling beam propagation in complex waveguides.

Abstract

A double-channel waveguide with gain and loss is addressed and the corresponding coupled-mode equations are established by employing the coupled mode approach. Based on the coupled-mode equations, the beam dynamics in the double-channel waveguide with gain and loss is investigated, and the results show that there exist three distinct dynamical behaviors, which are amplification, attenuation to zero and tending to a steady value (or equilibrium state), respectively. Finally, it is shown that the theoretical results suggested by the coupled-mode equations agree well with the numerical simulations.