Self-Focussed and Self-Trapped Beams in Nonlinear Optics.

Abstract

Self-focussing and self-trapping of light rays are studied in a classical two-dimensional nonlinear model both in the geometrical optics approximation and when retaining higher dispersion terms. The paraxial ray approximation of Akhmanov that leads to the nonlinear Schrodinger equation is specifically avoided. It is found that in the geometrical optics approximation, focussing must eventually occur once convergence of rays begins. When both diffraction and nonlinearity are present, however, focussing may or may not occur. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068938

Entities

People

  • Mohamed N. Y. Anwar
  • Robert D. Small

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Classification
  • Coefficients
  • Consistency
  • Convergence
  • Diffraction
  • Dispersions
  • Equations
  • Frequency
  • Mathematics
  • Nonlinear Dynamics
  • Nonlinear Optics
  • North Carolina
  • Optics
  • Phase Velocity
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.