Skip to main content
Article
Simulation of Two-Dimensional Nonlinear Envelope Pulse Dynamics by a Two-Step Spatiotemporal Angular Spectrum Method
Journal of the Optical Society of America B
  • H. K. Sim, University of Iowa
  • Adrianus Korpel, University of Iowa
  • Karl E. Lonngren, University of Iowa
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
9-1-1988
Abstract
We present an extension of our previous nonlinear beam-simulation method to the propagation and interaction of pulse envelopes. The extra time dimension is applied in the context of a dispersive nonlinear medium that is described by a Klein–Gordon equation with an added cubically nonlinear, self-focusing term. Pulse propagation in this medium is modeled as the evolution of a spatiotemporal spectrum—i.e., the frequency-dependent angular spectrum of the pulse envelope—traversing a sequence of self-induced, thin, weak phase filters. Preliminary simulation experiments show agreement with known behavior in the absence of nonlinearity, confirm the existence of an (apparently unstable) stationary solution, and demonstrate mutual pulse attraction with subsequent destruction, initial survival following oblique collision, and mutual repulsion of out-of-phase pulses.
Inclusive pages
1900-1909
ISBN/ISSN
0030-3941
Comments

Permission documentation is on file.

Publisher
Optical Society of America
Peer Reviewed
Yes
Citation Information
H. K. Sim, Adrianus Korpel, Karl E. Lonngren and Partha P. Banerjee. "Simulation of Two-Dimensional Nonlinear Envelope Pulse Dynamics by a Two-Step Spatiotemporal Angular Spectrum Method" Journal of the Optical Society of America B Vol. 5 Iss. 9 (1988)
Available at: http://works.bepress.com/partha_banerjee/112/