Exact numerical solution of Helmholtz's equation in dielectric gratings with arbitrary profiles

Hossein Mossallaei; Mohammad H. Rahnavard; Habibollah Abiri

doi:10.1117/12.187994

30 September 1994 Exact numerical solution of Helmholtz's equation in dielectric gratings with arbitrary profiles

Hossein Mossallaei, Mohammad H. Rahnavard, Habibollah Abiri

Proceedings Volume 2263, Current Developments in Optical Design and Optical Engineering IV; (1994) https://doi.org/10.1117/12.187994
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

Based on an exact solution of the pertinent boundary-value problem, a method is presented for finding the electromagnetic fields scattered or guided by dielectric gratings having arbitrary profiles. This method unifies the treatment of both perpendicular (TE) and parallel (TM) polarization by using the Boundary Element Method (BEM). To illustrate the method, the results are presented for a four layer waveguide with trapezoidal grating.

Citation Download Citation

Hossein Mossallaei, Mohammad H. Rahnavard, and Habibollah Abiri "Exact numerical solution of Helmholtz's equation in dielectric gratings with arbitrary profiles", Proc. SPIE 2263, Current Developments in Optical Design and Optical Engineering IV, (30 September 1994); https://doi.org/10.1117/12.187994

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