PROP-I: An Efficient Implicit Algorithm for Calculating Nonlinear Scalar Wave Propagation in the Fresnel Approximation.

Abstract

An algorithm has been developed to advance rapidly the solution of the parabolic equation which describes the problem of propagation of intense laser beams in absorbing media. The method uses an alternating-direction implicit (ADI) technique together with either central differencing or a Galerkin method with linear spline basis to represent the transverse Laplacian in the partial differential equation. A guide to the code, a listing of the FORTRAN program, and a flow-chart are provided. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 29, 1974
Accession Number
AD0781877

Entities

People

  • Peter B. Ulrich

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Equations
  • Galerkin Method
  • Laser Beams
  • Lasers
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Transverse
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Computer Science.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Optical Physics and Photonics.

Technology Areas

  • Directed Energy