Nonlinear FDTD formulations using Z transforms

Author

Sullivan, Dennis M.

Author_Institution

Dept. of Electr. Eng., Idaho Univ., Moscow, ID, USA

Volume

43

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

676

Lastpage

682

Abstract

An implementation of the FDTD method for nonlinear optical simulation is described. This method draws on ideas from digital filtering theory by formulating the nonlinearities using Z transforms. This provides a means of directly calculating the nonlinear polarizations in a straightforward manner. Further, an analytic expression for the reflection coefficient from a nonlinear dielectric is described and used to confirm the accuracy of the nonlinear FDTD formulation. Finally, a one-dimensional nonlinear FDTD simulation is used to calculate soliton propagation in nonlinear media

Keywords

Z transforms; finite difference time-domain analysis; light polarisation; nonlinear optics; simulation; Z transforms; nonlinear FDTD formulations; nonlinear dielectric; nonlinear media; nonlinear optical simulation; nonlinear polarizations; reflection coefficient; soliton propagation; Dielectrics; Filtering theory; Finite difference methods; Frequency dependence; Optical propagation; Optical reflection; Optical waveguides; Polarization; Solitons; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.372115

Filename

372115