FD-TD simulation of optical soliton propagation and scattering in 2-D waveguides

Peter M. Goorjian, Allen Taflove, Rose M. Joseph

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new algorithm has been developed that permits the direct time integration of Maxwell's equations in 2-D for material media having linear and nonlinear instantaneous and Lorentz-dispersive effects in the electric polarization. The optical carrier is retained in this approach. The fundamental innovation is the treatment of the linear and nonlinear convolution integrals which describe the dispersion as new dependent variables. By differentiating these convolutions in the time domain, an equivalent system of coupled, nonlinear, second-order ordinary differential equations is derived. These equations together with Maxwell's equations form the system that is solved to determine the electromagnetic fields in nonlinear dispersive media. The nonlinear modeling takes into account such quantum effects as the Kerr and Raman interactions. The new approach is robust and permits modeling optical soliton propagation, scattering, and switching directly from the full-vector, nonlinear Maxwell's equations for integrated optical structures.

Original languageEnglish (US)
Title of host publication1992 Joint Symposia
Subtitle of host publicationIEEE Antennas and Propagation Society International Symposium - 1992 Digest, AP-S 1992
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages262-265
Number of pages4
ISBN (Electronic)0780307305
DOIs
StatePublished - Jan 1 1992
Event1992 Joint Symposia Digest: IEEE Antennas and Propagation Society International Symposium, AP-S 1992 - Chicago, United States
Duration: Jun 18 1992Jun 25 1992

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume1992-June
ISSN (Print)1522-3965

Conference

Conference1992 Joint Symposia Digest: IEEE Antennas and Propagation Society International Symposium, AP-S 1992
CountryUnited States
CityChicago
Period6/18/926/25/92

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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