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Optical Nonlinear Wakefield Vortices: Results from Full-Wave Vector Maxwell Equation Simulations in Two Spatial Dimensions and Time

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Abstract

In this paper we report the first multi-dimensional, full-wave, vector Maxwell’s equation solutions to problems describing the interaction of ultra-short, pulsed beams with a nonlinear Kerr material having a finite response time. These solutions have been obtained with a nonlinear finite difference time domain (NL-FDTD) method which combines a nonlinear generalization of a standard, FDTD, full-wave, vector, linear Maxwell’s equation solver with a currently used phenomenological time relaxation (Debye) model of a nonlinear Kerr material.

© 1992 Optical Society of America

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