A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media

Wei Cai; Xia Ji; Jiguang Sun; Sihong Shao

doi:10.1016/j.jcp.2008.08.012

A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media

Wei Cai^*, Xia Ji, Jiguang Sun, Sihong Shao

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper, we propose a parallel Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D complex Helmholtz equations in high frequency wave scattering in dispersive inhomogeneous media. This method is based on the spectral expansion of complex generalized eigen-oscillations for the electromagnetic fields and the Schwarz non-overlapping domain decomposition iteration method. The GeSEM takes advantages of a special real orthogonality property of the complex eigen-oscillations and a new radiation interface condition for the system of equations for the spectral expansion coefficients. Numerical results validate the high resolution and the flexibility of the method for various materials.

Original language	English
Pages (from-to)	9933-9954
Number of pages	22
Journal	Journal of Computational Physics
Volume	227
Issue number	23
DOIs	https://doi.org/10.1016/j.jcp.2008.08.012
Publication status	Published - 1 Dec 2008
Externally published	Yes

Keywords

Complex Helmholtz equations
Dispersive inhomogeneous media
Eigen-oscillations
High frequency scattering
Phase shift mask
Radiation interface condition
Schwarz domain decomposition method
Spectral methods

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10.1016/j.jcp.2008.08.012

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title = "A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media",

abstract = "In this paper, we propose a parallel Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D complex Helmholtz equations in high frequency wave scattering in dispersive inhomogeneous media. This method is based on the spectral expansion of complex generalized eigen-oscillations for the electromagnetic fields and the Schwarz non-overlapping domain decomposition iteration method. The GeSEM takes advantages of a special real orthogonality property of the complex eigen-oscillations and a new radiation interface condition for the system of equations for the spectral expansion coefficients. Numerical results validate the high resolution and the flexibility of the method for various materials.",

keywords = "Complex Helmholtz equations, Dispersive inhomogeneous media, Eigen-oscillations, High frequency scattering, Phase shift mask, Radiation interface condition, Schwarz domain decomposition method, Spectral methods",

author = "Wei Cai and Xia Ji and Jiguang Sun and Sihong Shao",

year = "2008",

month = dec,

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doi = "10.1016/j.jcp.2008.08.012",

language = "English",

volume = "227",

pages = "9933--9954",

journal = "Journal of Computational Physics",

issn = "0021-9991",

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TY - JOUR

T1 - A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media

AU - Cai, Wei

AU - Ji, Xia

AU - Sun, Jiguang

AU - Shao, Sihong

PY - 2008/12/1

Y1 - 2008/12/1

N2 - In this paper, we propose a parallel Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D complex Helmholtz equations in high frequency wave scattering in dispersive inhomogeneous media. This method is based on the spectral expansion of complex generalized eigen-oscillations for the electromagnetic fields and the Schwarz non-overlapping domain decomposition iteration method. The GeSEM takes advantages of a special real orthogonality property of the complex eigen-oscillations and a new radiation interface condition for the system of equations for the spectral expansion coefficients. Numerical results validate the high resolution and the flexibility of the method for various materials.

AB - In this paper, we propose a parallel Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D complex Helmholtz equations in high frequency wave scattering in dispersive inhomogeneous media. This method is based on the spectral expansion of complex generalized eigen-oscillations for the electromagnetic fields and the Schwarz non-overlapping domain decomposition iteration method. The GeSEM takes advantages of a special real orthogonality property of the complex eigen-oscillations and a new radiation interface condition for the system of equations for the spectral expansion coefficients. Numerical results validate the high resolution and the flexibility of the method for various materials.

KW - Complex Helmholtz equations

KW - Dispersive inhomogeneous media

KW - Eigen-oscillations

KW - High frequency scattering

KW - Phase shift mask

KW - Radiation interface condition

KW - Schwarz domain decomposition method

KW - Spectral methods

UR - http://www.scopus.com/inward/record.url?scp=53349096413&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2008.08.012

DO - 10.1016/j.jcp.2008.08.012

M3 - Article

AN - SCOPUS:53349096413

SN - 0021-9991

VL - 227

SP - 9933

EP - 9954

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 23

ER -

A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media

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Keywords

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