Novel boundary condition for the finite-element solution of arbitrary planar junctions

Author

Davanço, M.I. ; Rubio-Mercedes, C.E. ; Hernández-Figueroa, H.E.

Author_Institution

Sch. of Electr. & Comput. Eng., Univ. Estadual de Campinas, Sao Paulo, Brazil

Volume

13

Issue

1

fYear

2001

Firstpage

46

Lastpage

48

Abstract

A novel boundary condition for a two-dimensional finite-element method (2D-FEM) is developed to simulate accessing waveguides to planar optical junctions. This new boundary condition is based on a paraxial approximation to the field´s derivatives over the junction´s ports. The formulation is very easily adapted within the 2D-FEM framework while providing good simulation results. Two examples are provided to show the applicability and reliability of the present method: a waveguide step discontinuity and a sharp waveguide bend.

Keywords

finite element analysis; mode matching; optical planar waveguides; optical waveguide theory; reliability; 2D-FEM framework; accessing waveguides; applicability; arbitrary planar junctions; field derivatives; finite-element solution; junction ports; novel boundary condition; paraxial approximation; planar optical junctions; reliability; sharp waveguide bend; simulation results; two-dimensional finite-element method; waveguide step discontinuity; Boundary conditions; Finite element methods; Integral equations; Optical planar waveguides; Optical scattering; Optical waveguides; Perfectly matched layers; Planar waveguides; Waveguide discontinuities; Waveguide junctions;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.903216

Filename

903216