Pade´ boundary conditions for the finite-element modeling of arbitrary planar junctions

Author

Rubio-Mercedes, Cosme E. ; Hernández-Figueroa, Hugo E.

Author_Institution

Dept. of Microwaves & Opt., Univ. of Campinas, Brazil

Volume

22

Issue

2

fYear

2004

Firstpage

669

Lastpage

676

Abstract

Novel boundary conditions based on Pade´ approximations for the frequency domain two-dimensional/finite element (2-D/FE) simulation of planar optical junctions of arbitrary geometry and number of accessing waveguides are presented and described in detail. This efficient formulation is straightforwardly implemented within the 2-D/FE framework and also can easily be used in finite difference schemes. Three examples show the applicability and reliability of the present method: a waveguide step discontinuity, waveguide transverse displacement and T-shaped beam splitter.

Keywords

boundary-value problems; finite element analysis; frequency-domain analysis; optical planar waveguides; optical waveguide theory; waveguide junctions; 2-D/FE framework; Fade boundary conditions; T-shaped beam splitter; finite element simulation; frequency domain two-dimensional simulation; planar optical junctions; waveguide step discontinuity; waveguide transverse displacement; waveguides; Boundary conditions; Finite element methods; Frequency domain analysis; Geometrical optics; Optical planar waveguides; Optical waveguides; Solid modeling; Two dimensional displays; Waveguide discontinuities; Waveguide junctions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2003.822549

Filename

1278514