Series-Expansion-Beam-Propagation-Method for the Vector Wave Equation,

Abstract

Recently, there has been much interest in solving the vector wave equation by beam-propagation-method-type algorithms. Most of the proposed algorithms are based on scalar propagation algorithms which suffer from accuracy limitations for large propagation steps. Implicit formulations involving a Crank-Nicholson scheme or similar methods become more complex in a two-dimensional cross-section. In this work it is shown, that a recently proposed beam propagation method using a rigorous Taylor-series expansion can be used to solve the vector wave equation with high accuracy and without major changes in calculation effort.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1992
Accession Number
ADP008195

Entities

People

  • A. Splett
  • D. Uhlendorf
  • K. Petermann
  • M. Bothe

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Photonics
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics