Lightwave Interaction In Space-Time Periodic Anisotropic Media

Katsu Rokushima; Jiro Yamakita; Shizuo Mori

doi:10.1117/12.967162

1 January 1987 Lightwave Interaction In Space-Time Periodic Anisotropic Media

Katsu Rokushima, Jiro Yamakita, Shizuo Mori

Proceedings Volume 0813, Optics and the Information Age; (1987) https://doi.org/10.1117/12.967162
Event: 14th Congress of the International Commission for Optics, 1987, Quebec, Canada

Abstract

Periodic dielectric structures play an important role in applications such as deflectors, filters, switches, modulators and many other devices in integrated optics. A rigorous analysis of wave interaction in an anisotropic medium with tensor permittivity which is modulated periodically with respect to space and time is presented as an electromagnetic boundary value problem. Such a type of structures exist in a birefringent crystal traversed by a traveling acoustic wave. Similar space-periodic structures are also induced in an anisotropic slab waveguide by a voltage applied to interdigitated electrodes over the waveguide. Because of the complexity of the problem, the general periodic anisotropic media have been analyzed only by approximate methodsl),2) that often require a priori accurate result against which the approximation can be judged. The present method applies to any anisotropic lossy or lossless media, any polarization of the wave and any orientation of the grating vector in three dimensions. The wave propagation in such media is described by coupled-wave equations in a unified matrix form and the general wave characteristics can be obtained straightforwardly by systematic matrix calculations in any arbitrary level of accuracy. Numerical examples of both scattering and guiding properties peculiar to anisotropic waveguides are given.

Citation Download Citation

Katsu Rokushima, Jiro Yamakita, and Shizuo Mori "Lightwave Interaction In Space-Time Periodic Anisotropic Media", Proc. SPIE 0813, Optics and the Information Age, (1 January 1987); https://doi.org/10.1117/12.967162

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