Time-Reversal Symmetry Bounds in Temporal Coupled-Mode Theory
Applied Physics
2024-07-25 v1
Abstract
We provide a general treatment for the temporal coupled-mode theory with arbitrary numbers of modes and ports, and derive tight bounds for the coupling phases in addition to coupling strengths under time-reversal symmetry. We report trade-offs between the cardinalities of the reciprocal regions of the resonant coupling strengths versus phases. We discover that time-reversal symmetry enforces projected generalized reflections in the background to cancel out completely. In double-port systems, the reciprocal regions of the coupling phases span a quarter of the nonreciprocal regions for any non-hidden mode.
Keywords
Cite
@article{arxiv.2407.17000,
title = {Time-Reversal Symmetry Bounds in Temporal Coupled-Mode Theory},
author = {Ken X. Wang},
journal= {arXiv preprint arXiv:2407.17000},
year = {2024}
}