Propagation of 3-D Beams Using a Finite-Difference Algorithm: Practical Considerations

Abstract

We discuss practical aspects of the use of the finite-difference, alternating-direction implicit (ADI), numerical solution of the paraxial wave equation, for the free-space propagation of light beams. Results of calculations solving the finite-difference equations are compared with fresnal-integral solutions. Calculations are for round beams, but the field is represented in cartesian coordinates. Modes for empty unstable resonators are also obtained using the finite-difference algorithm and are compared with fresnal-difference.

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Document Details

Document Type
Technical Report
Publication Date
May 22, 2011
Accession Number
ADA544032

Entities

People

  • Alan H. Paxton

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Cartesian Coordinates
  • Difference Equations
  • Equations
  • Fresnel Integrals
  • Fresnel Zones
  • Government Procurement
  • Governments
  • Integrals
  • Laser Beams
  • Lasers
  • Military Research
  • Resonators
  • Three Dimensional
  • Wave Equations

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space