Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions

Author

Hadley, G. Ronald ; Smith, R.E.

Author_Institution

Sandia Nat. Labs., Albuquerque, NM, USA

Volume

13

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

465

Lastpage

469

Abstract

We describe a finite difference solution technique for the full-vector waveguide equation based upon the alternating-direction-implicit (ADI) iterative method. Our technique accurately treats dielectric boundaries (including corners), requires minimal computer resources, and executes faster (by factors of 3-10) than other iterative approaches. In addition, we employ a transparent boundary condition that effectively removes the sensitivity of the calculated results to the size of the computational domain. This feature greatly facilitates the examination of modes near cutoff

Keywords

boundary-value problems; finite difference methods; iterative methods; modelling; optical waveguide theory; sensitivity; transparency; vectors; alternating-direction-implicit iterative method; computational domain; computer resources; corners; dielectric boundaries; finite difference solution technique; full-vector waveguide equation; full-vector waveguide modeling; iterative finite-difference method; near cutoff modes; sensitivity; transparent boundary condition; transparent boundary conditions; waveguide optics numerical modelling; Boundary conditions; Dielectric constant; Equations; Finite difference methods; Iterative methods; Numerical models; Optical design; Optical devices; Optical sensors; Optical waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.372444

Filename

372444