Computation of Nonlinear Backscattering Using a High-Order Numerical Method

Abstract

The nonlinear Schrodinger equation (NLS) is the standard model for propagation of intense laser beams in Kerr media. The NLS is derived from the nonlinear Helmholtz equation (NLH) by employing the paraxial approximation and neglecting the backscattered waves. In this study we use a fourth-order finite-difference method supplemented by special two-way artificial boundary conditions (ABCs) to solve the NLH as a boundary value problem. Our numerical methodology allows for a direct comparison of the NLH and NLS models and for an accurate quantitative assessment of the backscattered signal.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADA393639

Entities

People

  • B. Ilan
  • G. Fibich
  • S. Tsynkov

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computational Science
  • Computations
  • Difference Equations
  • Differential Equations
  • Diffraction
  • Electric Fields
  • Equations
  • Helmholtz Equations
  • Laser Beams
  • North Carolina
  • Optical Properties
  • Radiation
  • Refractive Index
  • Simulations
  • Traveling Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Directed Energy