Time-Reversal Symmetry Bounds in Temporal Coupled-Mode Theory
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910540020842496 |
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| author | Wang, Ken X. |
| author_facet | Wang, Ken X. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-Reversal Symmetry Bounds in Temporal Coupled-Mode Theory Wang, Ken X. Applied Physics 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. |
| title | Time-Reversal Symmetry Bounds in Temporal Coupled-Mode Theory |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2407.17000 |