Conformal PML-FDTD schemes for electromagnetic field simulations: A dynamic stability study

F. L. Teixeira; K. P. Hwang; W. C. Chew; J. M. Jin

doi:10.1109/8.931147

Conformal PML-FDTD schemes for electromagnetic field simulations: A dynamic stability study

F. L. Teixeira, K. P. Hwang, W. C. Chew, J. M. Jin

Research output: Contribution to journal › Article › peer-review

Abstract

We present a study on the dynamic stability of the perfectly matched layer (PML) absorbing boundary condition for finite-difference time-domain (FDTD) simulations of electromagnetic radiation and scattering problems in body-conformal orthogonal grids. This work extends a previous dynamic stability analysis of Cartesian, cylindrical and spherical PMLs to the case of a conformal PML. It is shown that the conformal PML defined over surface terminations with positive local radii of curvature (concave surfaces as viewed from inside the computational domain) is dynamically stable, while the conformal PML defined over surface terminations with a negative local radius (convex surfaces as viewed from inside the computational domain) is dynamically unstable. Numerical results illustrate the analysis.

Original language	English (US)
Pages (from-to)	902-907
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	49
Issue number	6
DOIs	https://doi.org/10.1109/8.931147
State	Published - Jun 2001

Keywords

Absorbing boundary condition
Curvilinear grids
Dynamic stability
FDTD methods

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/8.931147

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title = "Conformal PML-FDTD schemes for electromagnetic field simulations: A dynamic stability study",

abstract = "We present a study on the dynamic stability of the perfectly matched layer (PML) absorbing boundary condition for finite-difference time-domain (FDTD) simulations of electromagnetic radiation and scattering problems in body-conformal orthogonal grids. This work extends a previous dynamic stability analysis of Cartesian, cylindrical and spherical PMLs to the case of a conformal PML. It is shown that the conformal PML defined over surface terminations with positive local radii of curvature (concave surfaces as viewed from inside the computational domain) is dynamically stable, while the conformal PML defined over surface terminations with a negative local radius (convex surfaces as viewed from inside the computational domain) is dynamically unstable. Numerical results illustrate the analysis.",

keywords = "Absorbing boundary condition, Curvilinear grids, Dynamic stability, FDTD methods",

author = "Teixeira, {F. L.} and Hwang, {K. P.} and Chew, {W. C.} and Jin, {J. M.}",

note = "Funding Information: Manuscript received December 21, 1999; revised November 27, 2000. This work was supported in part by the Air Force Office of Scientific Research (AFOSR) under MURI Grant F49620-96-1-0025.",

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AU - Teixeira, F. L.

AU - Hwang, K. P.

AU - Chew, W. C.

AU - Jin, J. M.

N1 - Funding Information: Manuscript received December 21, 1999; revised November 27, 2000. This work was supported in part by the Air Force Office of Scientific Research (AFOSR) under MURI Grant F49620-96-1-0025.

PY - 2001/6

Y1 - 2001/6

N2 - We present a study on the dynamic stability of the perfectly matched layer (PML) absorbing boundary condition for finite-difference time-domain (FDTD) simulations of electromagnetic radiation and scattering problems in body-conformal orthogonal grids. This work extends a previous dynamic stability analysis of Cartesian, cylindrical and spherical PMLs to the case of a conformal PML. It is shown that the conformal PML defined over surface terminations with positive local radii of curvature (concave surfaces as viewed from inside the computational domain) is dynamically stable, while the conformal PML defined over surface terminations with a negative local radius (convex surfaces as viewed from inside the computational domain) is dynamically unstable. Numerical results illustrate the analysis.

AB - We present a study on the dynamic stability of the perfectly matched layer (PML) absorbing boundary condition for finite-difference time-domain (FDTD) simulations of electromagnetic radiation and scattering problems in body-conformal orthogonal grids. This work extends a previous dynamic stability analysis of Cartesian, cylindrical and spherical PMLs to the case of a conformal PML. It is shown that the conformal PML defined over surface terminations with positive local radii of curvature (concave surfaces as viewed from inside the computational domain) is dynamically stable, while the conformal PML defined over surface terminations with a negative local radius (convex surfaces as viewed from inside the computational domain) is dynamically unstable. Numerical results illustrate the analysis.

KW - Absorbing boundary condition

KW - Curvilinear grids

KW - Dynamic stability

KW - FDTD methods

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Conformal PML-FDTD schemes for electromagnetic field simulations: A dynamic stability study

Abstract

Keywords

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