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An amplitude finite element formulation for electromagnetic radiation and scattering

Nandy, Arup and Jog, CS (2016) An amplitude finite element formulation for electromagnetic radiation and scattering. In: COMPUTERS & MATHEMATICS WITH APPLICATIONS, 71 (7). pp. 1364-1391.

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Official URL: http://dx.doi.org/10.1016/j.camwa.2016.02.013

Abstract

Electromagnetic radiation and scattering in an exterior domain within the context of a finite element method has traditionally involved imposing a suitable absorbing boundary condition on the truncation boundary of the numerical domain to inhibit reflection from it. In this work, based on the Wilcox asymptotic expansion of the electric far-field, we propose an amplitude formulation within the framework of the nodal finite element method, whereby the highly oscillatory radial part of the field is separated out a-priori so that the standard Lagrange interpolation functions that are used have to capture a relatively gently varying function. Since these elements can be used in the immediate vicinity of the radiator or scatterer (with few exceptions which we enumerate), it is more effective compared to methods that impose absorbing boundary conditions at the truncation boundary, especially for high-frequency problems. The proposed method is based on the standard Galerkin finite element formulation, and uses standard Lagrange interpolation functions, standard Gaussian quadrature and the same degrees of freedom as a conventional formulation. We show the effectiveness of the proposed formulation on a wide variety of radiation and scattering problems involving both conducting and dielectric bodies, and involving both convex and non-convex domains with sharp corners. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Keywords: Electromagnetic radiation and scattering; Amplitude formulation; Nodal finite elements; High frequency
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 11 Jun 2016 07:30
Last Modified: 11 Jun 2016 07:30
URI: http://eprints.iisc.ac.in/id/eprint/53903

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