A wide angle propagation technique using an explicit finite difference scheme

Author

Chung, Youngchul ; Dagli, Nadir

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Volume

6

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

540

Lastpage

542

Abstract

A wide angle propagation technique is developed by explicitly solving a Taylor-series-expanded form of the scalar Helmholtz wave equation. The wave equation is numerically solved using a central explicit finite difference scheme. In this new wide angle propagation technique only a sparse matrix multiplication is needed to propagate an optical wave at each propagation step. The accuracy of the explicit finite difference wide angle beam propagation method is confirmed by analyzing the guided-wave devices which involve highly tilted waveguides and etched turning mirrors.<>

Keywords

finite difference methods; light propagation; matrix algebra; optical waveguide theory; optical waveguides; Taylor-series; beam propagation method; etched turning mirrors; finite difference scheme; guided-wave devices; optical wave; scalar Helmholtz wave equation; sparse matrix multiplication; tilted waveguides; wide angle propagation technique; Etching; Finite difference methods; Mirrors; Optical propagation; Optical waveguides; Partial differential equations; Photonic integrated circuits; Sparse matrices; Transmission line matrix methods; Turning;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.281820

Filename

281820