Abstract

We apply the boundary element method to the analysis of optical waveguides. After summarizing constant and linear element algorithms for both two- and three-dimensional simulations, we introduce a new recursive series procedure for constructing the diagonal matrix elements. We then demonstrate that our method can be employed to minimize the reflectivity of optical waveguide antireflection coatings with both straight and angled facets.

© 2002 Optical Society of America

Accurate analysis of power coupling between two arbitrarily ended dielectric slab waveguides by the boundary-element method

Dao Ngoc Chien, Kazuo Tanaka, and Masahiro Tanaka
J. Opt. Soc. Am. A 20(8) 1608-1616 (2003)

Computer-aided design of dielectric optical waveguide bends by the boundary-element method based on guided-mode extracted integral equations

Kazuo Tanaka and Masahiro Tanaka
J. Opt. Soc. Am. A 13(7) 1362-1368 (1996)

Boundary-element analysis of plane-wave diffraction from groove-type dielectric and metallic gratings

Yasunori Nakata and Masanori Koshiba
J. Opt. Soc. Am. A 7(8) 1494-1502 (1990)

Efficient analysis of periodic dielectric waveguides using Dirichlet-to-Neumann maps

Johannes Tausch and Jerome Butler
J. Opt. Soc. Am. A 19(6) 1120-1128 (2002)

New boundary integral equations for computer-aided design of dielectric waveguide circuits

Kazuo Tanaka and Masaaki Kojima
J. Opt. Soc. Am. A 6(5) 667-674 (1989)