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
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(130.0130) Integrated optics : Integrated optics
(220.0220) Optical design and fabrication : Optical design and fabrication
(230.0230) Optical devices : Optical devices
Tao Lu and David O. Yevick, "Boundary element analysis of dielectric waveguides," J. Opt. Soc. Am. A 19, 1197-1206 (2002)