Design and analysis of a gallium nitride-on-sapphire tunable photonic crystal directional coupler

Engin, Erman; O’Brien, Jeremy L; Cryan, Martin J

doi:10.1364/josab.29.001157

Cited by 5 publications

(1 citation statement)

References 41 publications

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“…The optical propagation in the coupled PCWs has been extensively analyzed using the plane wave expansion method [5][6][7][8], the finitedifference time-domain method [5,[7][8][9][10][11], the scattering matrix method combined with the lattice sums technique [12,13], and the coupled-mode theory [5,6,9,10]. Among others, the coupled-mode theory is an analytical method based on a perturbation theory and gives an approximate solution, which enables us to get a clear picture on the power transfer between two PCWs.…”

Section: Introductionmentioning

confidence: 99%

Coupled-mode analysis of contra-directional coupling between two asymmetric photonic crystal waveguides

2014

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A self-contained coupled-mode theory for the coupled two asymmetric photonic crystal waveguides (PCWs) is presented. The first-order coupled-mode equations are derived under a weak coupling assumption. The coupling coefficients are obtained systematically by a matrix calculus using the modal solutions of each PCW in isolation. The coupled-mode equations are solved for contra-directional coupling between two asymmetric PCWs formed by a hexagonal lattice of circular air holes in a dielectric medium. The power transmission spectra at different output ports of the coupled PCWs are investigated. It is shown that the self-contained coupled-mode analysis is useful to characterize a peculiar feature of the contra-directionally coupled PCWs as a drop filter.

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