Finite element analysis of electromagnetic scattering from a cavity

Van, Tri; Wood, Aihua W.

doi:10.1109/tap.2003.808517

Cited by 35 publications

(10 citation statements)

References 4 publications

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“…Finite element and finite difference methods of low order of accuracy have been used extensively over the last decade [2,3,4,12,20,33,36,37]. As is well known, finite element and finite difference methods lead to sparse linear systems.…”

Section: Introductionmentioning

confidence: 99%

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

Pérez‐Arancibia

Bruno

2014

J. Opt. Soc. Am. A

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This paper presents high-order integral equation methods for the evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced in this paper apply to eight classical scattering problems, namely, scattering by a dielectric bump on a perfectly conducting or a dielectric half-plane, and scattering by a filled, overfilled, or void dielectric cavity on a perfectly conducting or a dielectric half-plane. In all cases field representations based on single-layer potentials for appropriately chosen Green functions are used. The numerical far fields and near fields exhibit excellent convergence as discretizations are refined-even at and around points where singular fields and infinite currents exist.

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Section: Introductionmentioning

confidence: 99%

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

Pérez‐Arancibia

Bruno

2014

J. Opt. Soc. Am. A

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“…A well known application is the electromagnetic scattering from a large open cavity embedded in an infinite ground plane, which has attracted much attention because of its significant industrial and military applications [3,26,37]. Since the upper-half space usually is homogeneous, a transparent boundary condition can be introduced on the aperture of cavity by using either Green's function method (i.e., Hankel's function) or the method of Fourier's transform.…”

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confidence: 99%

A numerical study on the stability of a class of Helmholtz problems

Du¹,

Sun

2015

Journal of Computational Physics

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“…nonlocal Dirichlet-to-Neumann maps (e.g. [5,25,41]); local absorbing boundary conditions as approximations to nonlocal Dirichlet-to-Neumann maps (e.g. [21,26,27]); perfectly matched layer techniques (e.g.…”

Section: ð1:6þmentioning

confidence: 99%

Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium

2010

Journal of Computational Physics

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Finite element analysis of electromagnetic scattering from a cavity

Cited by 35 publications

References 4 publications

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

A numerical study on the stability of a class of Helmholtz problems

Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium

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