research-article

Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves

Author:

Jean-Pierre BerengerAuthors Info & Claims

Journal of Computational Physics, Volume 127, Issue 2

Pages 363 - 379

https://doi.org/10.1006/jcph.1996.0181

Published: 01 September 1996 Publication History

Abstract

The perfectly matched layer is a technique of free-space simulation developed for solving unbounded electromagnetic problems with the finite-difference time-domain method. Referred to as PML, this technique has been described in a previous paper for two-dimensional problems. The present paper is devoted to the three-dimensional case. The theory of the perfectly matched layer is generalized to three dimensions and some numerical experiments are shown to illustrate the efficiency of this new method of free-space simulation.

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Cited By

Yao ZJambunathan RZeng YNonaka A(2022)A massively parallel time-domain coupled electrodynamics–micromagnetics solverInternational Journal of High Performance Computing Applications10.1177/1094342021105790636:2(167-181)Online publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1177/10943420211057906
Antoine XLorin EZhang Y(2021)Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layersNumerical Algorithms10.1007/s11075-020-00972-z87:1(409-444)Online publication date: 1-May-2021
https://dl.acm.org/doi/10.1007/s11075-020-00972-z
Calatayud RNavarro-Modesto ENavarro-Camba ESangary Nde Castro APinto JChagas do Nascimento RFelici-Castell SSamper Zapater J(2020)Nvidia CUDA parallel processing of large FDTD meshes in a desktop computerProceedings of the 10th Euro-American Conference on Telematics and Information Systems10.1145/3401895.3401934(1-7)Online publication date: 25-Nov-2020
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Index Terms

Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves
1. Applied computing
  1. Physical sciences and engineering
    1. Physics
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Computations in finite fields
      2. Numerical differentiation

Recommendations

A perfectly matched layer for the absorption of electromagnetic waves

A new technique of free-space simulation has been developed for solving unbounded electromagnetic problems with the finite-difference time-domain method. Referred to as PML, the new technique is based on the use of an absorbing layer especially designed ...
Asymmetric perfectly matched layer for the absorption of waves

The perfectly matched layer (PML) has become a standard for comparison in the techniques that have been developed to close the system of Maxwell equations (more generally, wave equations) when simulating an open system. The original Berenger PML ...
A reflectionless discrete perfectly matched layer
Abstract
Perfectly Matched Layer (PML) is a widely adopted non-reflecting boundary treatment for wave simulations. Reducing numerical reflections from a discretized PML has been a long lasting challenge. This paper presents a new discrete PML ...
Highlights
- Perfectly Matched Layers can also be made reflectionless at the discrete level.

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 127, Issue 2

Sept. 1996

258 pages

ISSN:0021-9991

Editor:
J. U. Brackbill
Los Alamos National Lab, Los Alamos, NM

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Copyright © Academic Press.

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Academic Press Professional, Inc.

United States

Publication History

Published: 01 September 1996

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Cited By

Yao ZJambunathan RZeng YNonaka A(2022)A massively parallel time-domain coupled electrodynamics–micromagnetics solverInternational Journal of High Performance Computing Applications10.1177/1094342021105790636:2(167-181)Online publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1177/10943420211057906
Antoine XLorin EZhang Y(2021)Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layersNumerical Algorithms10.1007/s11075-020-00972-z87:1(409-444)Online publication date: 1-May-2021
https://dl.acm.org/doi/10.1007/s11075-020-00972-z
Calatayud RNavarro-Modesto ENavarro-Camba ESangary Nde Castro APinto JChagas do Nascimento RFelici-Castell SSamper Zapater J(2020)Nvidia CUDA parallel processing of large FDTD meshes in a desktop computerProceedings of the 10th Euro-American Conference on Telematics and Information Systems10.1145/3401895.3401934(1-7)Online publication date: 25-Nov-2020
https://dl.acm.org/doi/10.1145/3401895.3401934
Balsara DTaflove AGarain SMontecinos G(2017)Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution Part I, second-order FVTD schemesJournal of Computational Physics10.1016/j.jcp.2017.07.024349:C(604-635)Online publication date: 15-Nov-2017
https://dl.acm.org/doi/10.1016/j.jcp.2017.07.024
Belonosov MDmitriev MKostin VNeklyudov DTcheverda V(2017)An iterative solver for the 3D Helmholtz equationJournal of Computational Physics10.1016/j.jcp.2017.05.026345:C(330-344)Online publication date: 15-Sep-2017
https://dl.acm.org/doi/10.1016/j.jcp.2017.05.026
Jaros JVaverka FTreeby B(2016)Spectral Domain Decomposition Using Local Fourier BasisSupercomputing Frontiers and Innovations: an International Journal10.14529/jsfi1603053:3(40-55)Online publication date: 15-Sep-2016
https://dl.acm.org/doi/10.14529/jsfi160305
Jaros JRendell ATreeby B(2016)Full-wave nonlinear ultrasound simulation on distributed clusters with applications in high-intensity focused ultrasoundInternational Journal of High Performance Computing Applications10.1177/109434201558102430:2(137-155)Online publication date: 1-May-2016
https://dl.acm.org/doi/10.1177/1094342015581024
Nandy AJog C(2016)An amplitude finite element formulation for electromagnetic radiation and scatteringComputers & Mathematics with Applications10.1016/j.camwa.2016.02.01371:7(1364-1391)Online publication date: 1-Apr-2016
https://dl.acm.org/doi/10.1016/j.camwa.2016.02.013
Di Cesare NChamoret DDomaszewski M(2016)Optimum topological design of negative permeability dielectric metamaterial using a new binary particle swarm algorithmAdvances in Engineering Software10.1016/j.advengsoft.2015.10.011101:C(149-159)Online publication date: 1-Nov-2016
https://dl.acm.org/doi/10.1016/j.advengsoft.2015.10.011
Apaydin GSevgi L(2016)Three-dimensional split-step-fourier and finite difference time domain-based rectangular waveguide filter simulatorsInternational Journal of RF and Microwave Computer-Aided Engineering10.1002/mmce.2101426:8(660-667)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.1002/mmce.21014
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