3D Collapse Phenomena in Dispersive Nonlinear Media: A Critique of Envelope Models

Abstract

The main goal of the research was to perform a systematic investigation and evaluation of the utility of envelope equations. In particular, the nonlinear Schroedinger equation (NLS) and its generalizations, for modeling self-focusing (SF) collapse phenomena in transparent dielectric media. The work was successfully carried to completion. We (1) developed a theory of critical collapse for pulses in the presence of normal GVD, (2) developed reliable models for ultrashort pulse propagation in water as a model for propagation in the vitreous humor, specifically for propagation in water which accounts for self-focusing collapse, normal GVD, multi-photon absorption and avalanche breakdown and (3) investigated nonlinear reflection properties and have discovered a new phenomenon. the Nonlinear Optical Skin Effect (NOSE) in which a short pulse reflected from the nonlinear absorber suffers a Doppler shift resulting from a moving boundary induced in the medium.

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Document Details

Document Type
Technical Report
Publication Date
Jun 09, 1997
Accession Number
ADA332387

Entities

People

  • A. C. Newell
  • E. Wright
  • Jerome V. Moloney

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Diffraction
  • Doppler Effect
  • Electromagnetic Fields
  • Electromagnetic Metamaterials
  • Electromagnetic Scattering
  • Electromagnetic Shielding
  • Frequency
  • Laser Pulses
  • Lasers
  • Light Pulses
  • Metamaterial Absorbers
  • Optical Properties
  • Optics
  • Polaritons
  • Refractive Index
  • Two Dimensional

Fields of Study

  • Physics

Readers

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