A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling

Author

Van, Vien ; Chaudhuri, Sujeet K.

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

47

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

540

Lastpage

545

Abstract

A hybrid implicit-explicit finite-difference time-domain (FDTD) method for solving the wave equation in nonlinear optical waveguiding structures is proposed. The new scheme combines the computational simplicity of the explicit scheme in linear medium regions with the superior stability property of the partially implicit scheme in regions of nonlinear materials, thus eliminating potential problems of instability associated with nonlinearity. Simulation results for Kerr-type nonlinear slab waveguides and corrugated waveguides are presented and compared with those obtained using the conventional noniterative FDTD scheme

Keywords

finite difference time-domain analysis; nonlinear optics; optical Kerr effect; optical waveguide theory; Kerr-type nonlinear slab waveguides; computational simplicity; corrugated waveguides; hybrid implicit-explicit FDTD scheme; linear medium regions; nonlinear materials; nonlinear optical waveguide modeling; nonlinear optical waveguiding structures; partially implicit scheme; superior stability property; wave equation; Finite difference methods; Maxwell equations; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Optical signal processing; Optical waveguides; Permittivity; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.763152

Filename

763152