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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 18 — Sep. 4, 2006
  • pp: 8305–8310

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

Jethro H. Greene and Allen Taflove  »View Author Affiliations

Optics Express, Vol. 14, Issue 18, pp. 8305-8310 (2006)

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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.

© 2006 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5650) Nonlinear optics : Raman effect

ToC Category:
Nonlinear Optics

Original Manuscript: June 26, 2006
Revised Manuscript: August 22, 2006
Manuscript Accepted: August 24, 2006
Published: September 1, 2006

Jethro H. Greene and Allen Taflove, "General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics," Opt. Express 14, 8305-8310 (2006)

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