Fourier Transform of a Linear Distribution with Triangular Support and Its Applications in Electromagnetics

Bijan Houshmand, Weng Cho Chew, Shung Wu Lee

Research output: Contribution to journalArticlepeer-review

Abstract

Any surface, no matter how irregular, can be well approximated by a union of triangles. Hence, triangles can be used as the elemental shape (a simplex) for a two-dimensional (2-D) surface. A twodimensional linear distribution over each triangle can be used to obtain a piecewise-linear approximation of a function defined over a twodimensional surface. The Fourier transform of the current distribution is needed in many applications, for example, in radar cross section (RCS) calculation, radiation and diffraction in reflector antennas, and spectral Galerkin's method. In this communication, a three-dimensional (3-D) Fourier transform (FT) of a linear function with triangular support is derived in its coordinate free representation.

Original languageEnglish (US)
Pages (from-to)252-254
Number of pages3
JournalIEEE Transactions on Antennas and Propagation
Volume39
Issue number2
DOIs
StatePublished - Feb 1991

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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