Cited by 2,565Electromagnetic Simulation and Numerical MethodsElectromagnetic Scattering and AnalysisAdvanced Numerical Methods in Computational Mathematics

Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations

Mur, Gerrit·1981·IEEE Transactions on Electromagnetic Compatibility

Abstract

When time-domain electromagnetic-field equations are solved using finite-difference techniques in unbounded space, there must be a method limiting the domain in which the field is computed. This is achieved by truncating the mesh and using absorbing boundary conditions at its artificial boundaries to simulate the unbounded surroundings. This paper presents highly absorbing boundary conditions for electromagnetic-field equations that can be used for both two-and three-dimensional configurations. Numerical results are given that clearly exhibit the accuracy and limits of applicability of highly absorbing boundary conditions. A simplified, but equally accurate, absorbing condition is derived for two- dimensional time-domain electromagnetic-field problems.

Integrity signals

Registry

Crossref · 10.1109/temc.1981.303970

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The azimuthal electric field drives a current, which, when combined with the magnetic field, generates second harmonics of the current radial and azimuthal components via the Lorentz force.

    “The azimuthal electric field drives a current, which, when combined with the magnetic field, generates second harmonics of the current radial and azimuthal components via the Lorentz force 133,148,149 .”

    From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [149]

Cited by

Sorted by citations

Authors
Mur, G.
Affiliations
Delft University of Technology (NL)
Corresponding author
Mur, Gerrit
Venue
IEEE Transactions on Electromagnetic Compatibility
Published
1981-11
Volume
EMC-23
Issue
4
Pages
377-382
ISSN
  • 0018-9375 (ISSN-L)
  • 1558-187X
OpenAlex
W1990792968
Cited by
2,565
References
0
Citations by year
2026: 26 · 2025: 38 · 2024: 39 · 2023: 35 · 2022: 57 · 2021: 32 · 2020: 46 · 2019: 76 · 2018: 64 · 2017: 48 · 2016: 53 · 2015: 68 · 2014: 62 · 2013: 58 · 2012: 66
FWCI
1.68
Type
journal article
Language
en
Open access
closed
Locations
IEEE Transactions on Electromagnetic Compatibility (publishedVersion)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Electromagnetic Simulation and Numerical Methods
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Electromagnetic Scattering and Analysis
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
Keywords
absorbing boundary conditions, finite-difference time-domain simulation, unbounded domains, mesh truncation, artificial boundary, two-dimensional electromagnetic problems, three-dimensional electromagnetic problems

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review