Temporal coupled-mode theory for the Fano resonance in optical resonators
Top Cited Papers
- 1 March 2003
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 20 (3) , 569-572
- https://doi.org/10.1364/josaa.20.000569
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.Keywords
This publication has 16 references indexed in Scilit:
- Coupled-mode theory of resonant-grating filtersJournal of the Optical Society of America A, 1997
- Light modulation with resonant grating–waveguide structuresOptics Letters, 1996
- Resonant scattering from two-dimensional gratingsJournal of the Optical Society of America A, 1996
- Electromagnetic resonances in linear and nonlinear optics: phenomenological study of grating behavior through the poles and zeros of the scattering operatorJournal of the Optical Society of America A, 1995
- New principle for optical filtersApplied Physics Letters, 1992
- Guided-mode resonances in planar dielectric-layer diffraction gratingsJournal of the Optical Society of America A, 1990
- Frequency-selective reflection and transmission by a periodic dielectric layerIEEE Transactions on Antennas and Propagation, 1989
- A New Theory of Wood’s Anomalies on Optical GratingsApplied Optics, 1965
- The Theory of Anomalous Diffraction Gratings and of Quasi-Stationary Waves on Metallic Surfaces (Sommerfeld’s Waves)Journal of the Optical Society of America, 1941
- XLII. On a remarkable case of uneven distribution of light in a diffraction grating spectrumJournal of Computers in Education, 1902