Extension of the PML absorbing boundary condition to 3D spherical coordinates: scalar case

F. L. Teixeira; W. C. Chew

doi:10.1109/20.717621

Extension of the PML absorbing boundary condition to 3D spherical coordinates: scalar case

F. L. Teixeira, W. C. Chew

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

Abstract

The Perfectly Matched Layer (PML) absorbing boundary condition has shown to be an extremely efficient way to truncate the computational domain in finite-difference time-domain (FDTD) simulation of scattering and radiation problems in open regions. In this work we extend the PML concept to spherical coordinates by using an analytic continuation of the Helmholtz equation to complex coordinates (complex coordinate stretching). A 3D PMLFDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space.

Original language	English (US)
Pages (from-to)	2680-2683
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	34
Issue number	5 PART 1
DOIs	https://doi.org/10.1109/20.717621
State	Published - 1998
Externally published	Yes

Keywords

Differential equations
Pdtd methods
Transient propagation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

Online availability

10.1109/20.717621

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title = "Extension of the PML absorbing boundary condition to 3D spherical coordinates: scalar case",

abstract = "The Perfectly Matched Layer (PML) absorbing boundary condition has shown to be an extremely efficient way to truncate the computational domain in finite-difference time-domain (FDTD) simulation of scattering and radiation problems in open regions. In this work we extend the PML concept to spherical coordinates by using an analytic continuation of the Helmholtz equation to complex coordinates (complex coordinate stretching). A 3D PMLFDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space.",

keywords = "Differential equations, Pdtd methods, Transient propagation",

author = "Teixeira, {F. L.} and Chew, {W. C.}",

note = "Funding Information: This work is supported by Air Force Office of Scientific Research under MURI grant F49620-96-1-0025, Office of Naval Research under grant NO0014 -95-1-0872, National Science Foundation under grant ECS93-02145 and by a CAPES Graduate Fellowship.",

year = "1998",

doi = "10.1109/20.717621",

language = "English (US)",

volume = "34",

pages = "2680--2683",

journal = "IEEE Transactions on Magnetics",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Extension of the PML absorbing boundary condition to 3D spherical coordinates

T2 - scalar case

AU - Teixeira, F. L.

AU - Chew, W. C.

N1 - Funding Information: This work is supported by Air Force Office of Scientific Research under MURI grant F49620-96-1-0025, Office of Naval Research under grant NO0014 -95-1-0872, National Science Foundation under grant ECS93-02145 and by a CAPES Graduate Fellowship.

PY - 1998

Y1 - 1998

N2 - The Perfectly Matched Layer (PML) absorbing boundary condition has shown to be an extremely efficient way to truncate the computational domain in finite-difference time-domain (FDTD) simulation of scattering and radiation problems in open regions. In this work we extend the PML concept to spherical coordinates by using an analytic continuation of the Helmholtz equation to complex coordinates (complex coordinate stretching). A 3D PMLFDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space.

AB - The Perfectly Matched Layer (PML) absorbing boundary condition has shown to be an extremely efficient way to truncate the computational domain in finite-difference time-domain (FDTD) simulation of scattering and radiation problems in open regions. In this work we extend the PML concept to spherical coordinates by using an analytic continuation of the Helmholtz equation to complex coordinates (complex coordinate stretching). A 3D PMLFDTD code is written on a spherical grid to validate the formulation against results from pseudo-analytical solutions in free-space.

KW - Differential equations

KW - Pdtd methods

KW - Transient propagation

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IS - 5 PART 1

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Extension of the PML absorbing boundary condition to 3D spherical coordinates: scalar case

Abstract

Keywords

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