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Fourier transform of a polygonal shape function and its application in electromagnetics

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2 Author(s)
Shung-Wu Lee ; Dept. of Electrical Eng., Univ. of Illinois, Urbana, IL USA ; Mittra, R.

The shape functions(x, y)of a planar apertureSigmais defined ashaving value one insideSigmaand zero outside. The two-dimensional Fourier transform ofs(x, y)whenSigmais anN-sided polygon is considered, and a closed-form exact solution is presented. Applications of these results are described for 1) the calculation of the secondary pattern of a reflector antenna with a noncircular aperture, and 2) high-frequency transmission through a periodic frequency selective surface.

Published in:

Antennas and Propagation, IEEE Transactions on  (Volume:31 ,  Issue: 1 )

Date of Publication:

Jan 1983

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