Paper
30 September 1994 Exact numerical solution of Helmholtz's equation in dielectric gratings with arbitrary profiles
Hossein Mossallaei, Mohammad H. Rahnavard, Habibollah Abiri
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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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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KEYWORDS
Dielectrics

Chemical elements

Waveguides

Numerical analysis

Electromagnetism

Wave propagation

Radio propagation

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