Temporal Coupled Mode Theory for a Single Floquet-Sheet Resonator
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910029295124480 |
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| author | Wang, Yao-Ting Chou, Hsu-Huei |
| author_facet | Wang, Yao-Ting Chou, Hsu-Huei |
| contents | We develop a rigorous Temporal Coupled-Mode Theory (TCMT) specifically tailored for a single Floquet-sheet resonator governed by time-modulated conductivities. By invoking photon-number conservation during frequency conversion, we derive characteristic radiative decay rates and coupling coefficients that account for the frequency ratio between channels. We establish a systematic bridge to the Floquet Transfer Matrix Method (TMM), providing closed-form analytical expressions that map scattering parameters to the Drude-type physics of the sheet. Our model explicitly captures the resonant coupling between the 0th-order propagating channel and the -1st-order surface-mode channel. Validated by COMSOL numerical simulations, the theory remains robust even when intrinsic material loss is incorporated. This framework offers an intuitive pole-expansion representation for designing time-varying photonic interfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19228 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Temporal Coupled Mode Theory for a Single Floquet-Sheet Resonator Wang, Yao-Ting Chou, Hsu-Huei Optics We develop a rigorous Temporal Coupled-Mode Theory (TCMT) specifically tailored for a single Floquet-sheet resonator governed by time-modulated conductivities. By invoking photon-number conservation during frequency conversion, we derive characteristic radiative decay rates and coupling coefficients that account for the frequency ratio between channels. We establish a systematic bridge to the Floquet Transfer Matrix Method (TMM), providing closed-form analytical expressions that map scattering parameters to the Drude-type physics of the sheet. Our model explicitly captures the resonant coupling between the 0th-order propagating channel and the -1st-order surface-mode channel. Validated by COMSOL numerical simulations, the theory remains robust even when intrinsic material loss is incorporated. This framework offers an intuitive pole-expansion representation for designing time-varying photonic interfaces. |
| title | Temporal Coupled Mode Theory for a Single Floquet-Sheet Resonator |
| topic | Optics |
| url | https://arxiv.org/abs/2602.19228 |