Abstract

A bi-boundary finite element method (FEM)-boundary element method (BEM) approach that can accelerate the analysis of the nonsymmetrical matrix equations obtained by the hybrid FEM-BEM for optical waveguides is presented. An extra auxiliary boundary is adopted to separate the large order nonsymmetrical matrix into a small order nonsymmetrical part and a large order sparse symmetrical part. Subsequently, an iterative solution is introduced to incorporate the two parts. The efficiency of the approach is nearly 2.5 times faster than that of the conventional hybrid FEM-BEM system.

© 2009 IEEE

A coupled finite element-boundary element method for modeling Diffusion equation in 3D multi-modality optical imaging

Subhadra Srinivasan, Hamid R. Ghadyani, Brian W. Pogue, and Keith D. Paulsen
Biomed. Opt. Express 1(2) 398-413 (2010)

Accelerated boundary element method for diffuse optical imaging

J. Elisee, M. Bonnet, and S. Arridge
Opt. Lett. 36(20) 4101-4103 (2011)

Fourier finite element modeling of light emission in waveguides: 2.5-dimensional FEM approach

Yangxin Ou, David Pardo, and Yuntian Chen
Opt. Express 23(23) 30259-30269 (2015)

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)

Modeling considerations for rigorous boundary element method analysis of diffractive optical elements

Jon M. Bendickson, Elias N. Glytsis, Thomas K. Gaylord, and Andrew F. Peterson
J. Opt. Soc. Am. A 18(7) 1495-1506 (2001)