General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics

Jethro H. Greene*, Allen Taflove

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

The auxiliary differential equation finite-difference time-domain method for modeling electromagnetic wave propagation in dispersive nonlinear materials is applied to problems where the electric field is not constrained to a single vector component. A full-vector Maxwell's equations solution incorporating multiple-pole linear Lorentz, nonlinear Kerr, and nonlinear Raman polarizations is presented. The application is illustrated by modeling a spatial soliton having two orthogonal electric field components. To the best of our knowledge, the numerical technique presented here is the first to model electromagnetic wave propagation with two or three orthogonal vector components in dispersive nonlinear materials. This technique offers the possibility of modeling sub-wavelength interactions of vector spatial solitons.

Original languageEnglish (US)
Pages (from-to)8305-8310
Number of pages6
JournalOptics Express
Volume14
Issue number18
DOIs
StatePublished - 2006

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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