Coupled-mode theory for periodic side-coupled microcavity and photonic crystal structures

We use a phenomenological Hamiltonian approach to derive a set of coupled mode equations that describe light propagation in waveguides that are periodically side-coupled to microcavities. The structure exhibits both Bragg gap and (polariton like) resonator gap in the dispersion relation. The origin...

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Bibliographic Details
Published in:arXiv.org 2005-06
Main Authors: Chak, Philip, Pereira, Suresh, Sipe, J E
Format: Article
Language:English
Subjects:
Coupled modes
Crystal structure
Mathematical analysis
Microcavities
Photonic crystals
Polaritons
Quantum theory
Resonators
Wave propagation
Waveguides
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Summary:We use a phenomenological Hamiltonian approach to derive a set of coupled mode equations that describe light propagation in waveguides that are periodically side-coupled to microcavities. The structure exhibits both Bragg gap and (polariton like) resonator gap in the dispersion relation. The origin and physical significance of the two types of gaps are discussed. The coupled-mode equations derived from the effective field formalism are valid deep within the Bragg gaps and resonator gaps.
ISSN:2331-8422
DOI:10.48550/arxiv.0506102