Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations

Abstract

We review time-domain formulations of radiation boundary conditions for Maxwell's equations, focusing on methods which can deliver arbitrary accuracy at acceptable computational cost. Examples include fast evaluations of nonlocal conditions on symmetric and general boundaries, methods based on identifying and evaluating equivalent sources, and local approximations such as the perfectly matched layer and sequences of local boundary conditions. Complexity estimates are derived to assess work and storage requirements as a function of wavelength and simulation time.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA470448

Entities

People

  • Stephen Lau
  • Thomas Hagstrom

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Differential Equations
  • Electromagnetic Scattering
  • Equations
  • Frequency
  • Frequency Domain
  • Mathematics
  • Partial Differential Equations
  • Radiation
  • Sequences
  • Spherical Harmonics
  • Time Domain
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

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