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Temporal coupled-mode theory for the Fano resonance in optical resonators
Abstract
We present a theory of the Fano resonance for optical resonators, based on a temporal coupled-mode formalism. This theory is applicable to the general scheme of a single optical resonance coupled with multiple input and output ports. We show that the coupling constants in such a theory are strongly constrained by energy-conservation and time-reversal symmetry considerations. In particular, for a two-port symmetric structure, Fano-resonant line shape can be derived by using only these symmetry considerations. We validate the analysis by comparing the theoretical predictions with three-dimensional finite-difference time-domain simulations of guided resonance in photonic crystal slabs. Such a theory may prove to be useful for response-function synthesis in filter and sensor applications.
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Metadata
- Authors
- Fan, S., Suh, W., & Joannopoulos, J. D.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2003-03-01
- Volume
- 20
- Issue
- 3
- Pages
- 569
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2140144416
- Cited by
- 1,692
- References
- 0
- FWCI
- 7.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fan, S., Suh, W., & Joannopoulos, J. D. (2003). Temporal coupled-mode theory for the Fano resonance in optical resonators. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.20.000569
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