Mathematical Nonlinear Optics

Abstract

This research concerns the development of the modern mathematical theory of nonlinear dispersive waves focusing on areas relevant for nonlinear optics and developing fundamental understanding which is essential to applications of direct importance to the Air Force. The work has concentrated upon optical turbulence and spatio-temporal chaos, dispersive wave turbulence, and nonlinear optics - culminating in the initiation of a study of reverse saturable absorbers for laser hardening applications. The major findings include: (1) the onset of spatio-temporal chaos occurs with only two instabilities; (2) a new spectra observed for dispersive wave turbulence; (3) the performance of coupled bistable switches and optical arrays; and (4) a classification of polarization instability for coupled nonlinear Schrodinger equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2001
Accession Number
ADA395538

Entities

People

  • David W. Mclaughlin

Organizations

  • New York University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Computational Science
  • Differential Equations
  • Diffraction
  • Equations
  • Laser Hardening
  • Lasers
  • Mathematics
  • Nonlinear Optics
  • Optics
  • Partial Differential Equations
  • Schrodinger Equation
  • Spectra
  • Wave Equations
  • Wave Phenomena
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Optical Physics and Photonics.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Directed Energy