Implementation and analysis of the perfectly matched layer with auxiliary differential equation for the multiresolution time-domain method

A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In the paper, the reflected coefficients calculated by ADE-FDTD method and the exact theoretical result are better agreement.

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Perfectly Matched Layer for the Wave Equation Finite Difference Time Domain Method

Japanese Journal of Applied Physics ◽

10.7567/jjap.51.07gb02 ◽

2012 ◽

Vol 51 (7S) ◽

pp. 07GB02

Author(s):

Yutaka Miyazaki ◽

Takao Tsuchiya

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Perfectly Matched Layer ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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A Memory-efficient Implementation of Perfectly Matched Layer with Smoothly-varying Coefficients in Discontinuous Galerkin Time-Domain Method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2020.3037651 ◽

2020 ◽

pp. 1-1

Author(s):

Liang Chen ◽

Mehmet Burak Ozakin ◽

Shehab Ahmed ◽

Hakan Bagci

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Perfectly Matched Layer ◽

Efficient Implementation ◽

Time Domain Method ◽

Varying Coefficients ◽

Domain Method ◽

Memory Efficient

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Auxiliary differential equation: efficient implementation in the finite-difference time-domain method

Optics Letters ◽

10.1364/ol.22.001586 ◽

1997 ◽

Vol 22 (21) ◽

pp. 1586 ◽

Cited By ~ 14

Author(s):

T. O. Körner ◽

W. Fichtner

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Efficient Implementation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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An anisotropic perfectly matched layer-absorbing medium in finite element time domain method for Maxwell's equations

IEEE Antennas and Propagation Society International Symposium 1997. Digest ◽

10.1109/aps.1997.631552 ◽

2002 ◽

Cited By ~ 2

Author(s):

V. Mathis

Keyword(s):

Finite Element ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Perfectly Matched Layer ◽

Time Domain Method ◽

Absorbing Medium ◽

Domain Method ◽

Anisotropic Perfectly Matched Layer

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Propagation of 2D Electromagnetic Wave in Lossy Lorentz Media Based on Auxiliary Differential Equation of Finite-Difference Time-Domain Method

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.568-570.1749 ◽

2014 ◽

Vol 568-570 ◽

pp. 1749-1752

Author(s):

Bing Kang Chen ◽

Feng Guo

Keyword(s):

Differential Equation ◽

Wave Propagation ◽

Electromagnetic Wave ◽

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Fdtd Method ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

In order to study the reflection of electromagnetic wave in Lorentz media, A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In 1-D case, the reflected coefficients calculated by ADE-FDTD method and exact theoretical result are excellent agreement. This expresses that the 2-D formulas of electromagnetic wave propagation in lossy Lorentz media are right. Furthermore, Plane wave reflected by Lorentz media layer is calculated and simulated. Results display that reflected effect is evident.

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