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Two-dimensional coupled-mode theory for modeling leaky-mode arrays

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Abstract

The use of a two-dimensional coupled-mode theory for modeling buried-ridge-waveguide index-guided arrays in general and leaky-mode arrays in particular is described. This formalism provides a framework for understanding the complicated modal structure of leaky-mode arrays by expressing their modes as linear combinations of the two-dimensional modes of the buried-ridge waveguides and the active-region confinement structure. As a result, the inherently large parameter space of these devices may be collapsed dramatically so that the device behavior is describable in terms of only the propagation constant mismatch between the buried-ridge modes and the active-region modes and their coupling coefficient.

© 1990 Optical Society of America

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