Nonlinear Wave Propagation

Abstract

The objective of this basic research project is to derive and interrogate mathematical models of the propagation of ultrashort pulses in mode locked lasers (particularly Ti:sapphire), the nonlinear propagation of light in certain optical waveguides and photonic lattices, and the nonlinear propagation of light in "chi(2)" media. The PI and his research team will study the nonlinear partial differential equations that arise from the full nonlinear Maxwell equations under various asymptotic limits. He will also employ elements of soliton theory as well as the inverse spectral transform. In addition he will pursue numerical approaches. The AF would be able to exploit mode locked lasers to speed up the calculation of cross-correlations between reference and backscattered signals in radars and would be able to exploit the optical switching promised by lattices and chi(2) materials to field circuitless computers.

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Document Details

Document Type
Technical Report
Publication Date
Feb 12, 2009
Accession Number
ADA495287

Entities

People

  • Mark J. Ablowitz

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computational Science
  • Crystal Structure
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Fluid Dynamics
  • Frequency Combs
  • Laser Beams
  • Laser Pulses
  • Lasers
  • Materials
  • Nonlinear Optics
  • Optical Materials
  • Partial Differential Equations
  • Solitons
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Optical Physics and Photonics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Directed Energy