Analysis of two-dimensional waveguides with misaligned or curved gratings

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Abstract
Periodic corrugated waveguides with wave confinement in both transverse dimensions are analyzed. The description includes the cases of grating misalignment (tilt) and curvature; for a tilt angle θ, the resonant wavelengths vary as(\cos \theta)^{-1}. Coefficients for intramode coupling (identical contradirectional modes) and hybrid (intermode) coupling are calculated as functions of θ. Numerical results for a GaAlAs waveguide, of the type employed in distributed Bragg reflector (DBR) lasers, are included.

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