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

Abstract

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.

arXiv comment13 pages, 6 figures

References in corpus (3)

• Nonlinear transmission and light localization in photonic crystal waveguides
• Coupled mode theory for photonic crystal cavity-waveguide interaction
• Cuspons, peakons and regular gap solitons between three dispersion curves

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