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High-Order Mixed Current Basis Functions for Electromagnetic Scattering of Curved Surfaces

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Abstract

We construct high-order mixed current vector basis (unctions on an arbitrary curved surface which can be subdivided as a union of curved triangles and quadrilaterals. The objective is to construct vector basis (a) which consists of high-order polynomials of the surface parameterization variables on triangles and quadrilaterals, (b) part of the basis will have vanishing moments on the triangles and quadrilaterals. The first property will enable us to represent the current distribution over scatter surface with much less number of unknowns and larger patches of either triangular or quadrilateral shapes. The second property will achieve what wavelet basis does on an interval, but on a more general domain, namely, a sparse matrix representation for some integral operators.

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Authors and Affiliations

  1. Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina, 28223

    Wei Cai

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  1. Wei Cai
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Cai, W. High-Order Mixed Current Basis Functions for Electromagnetic Scattering of Curved Surfaces. Journal of Scientific Computing 14, 73–105 (1999). https://doi.org/10.1023/A:1025624822162

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  • DOI: https://doi.org/10.1023/A:1025624822162

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