Computer-aided determination of existence and stability of optical patterns

G.K. Harkness, W.J. Firth, G.-L. Oppo

Research output: Contribution to conferencePaperpeer-review

Abstract

A computer-aided technique for determining the existence and stability of optical patterns is described. The technique is able to find the stationary solutions of a model by using a Newton-type method and a Fourier transform to evaluate the spatial derivatives. The Newton method automatically gives the linearization around the solutions found and therefore can be extended to find their eigenspectrum and hence stability.
Original languageEnglish
Publication statusPublished - 15 Sept 2000
Event2000 International Quantum Electronics Conference (IQEC 2000) - Nice, France
Duration: 10 Sept 200015 Sept 2000

Conference

Conference2000 International Quantum Electronics Conference (IQEC 2000)
CityNice, France
Period10/09/0015/09/00

Keywords

  • computer aided analysis
  • Fourier transforms
  • linearization
  • mathematical models
  • system stability
  • Busse balloon
  • Newton method
  • optical patterns
  • nonlinear optics

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