DocumentCode :
1026175
Title :
Fourier transform of a polygonal shape function and its application in electromagnetics
Author :
Lee, Shung-wu ; Mittra, Raj
Author_Institution :
Dept. of Electrical Eng., Univ. of Illinois, Urbana, IL USA
Volume :
31
Issue :
1
fYear :
1983
fDate :
1/1/1983 12:00:00 AM
Firstpage :
99
Lastpage :
103
Abstract :
The shape function 
of a planar aperture 
is defined ashaving value one inside and zero outside. The two-dimensional Fourier transform of when is an 
-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.
of a planar aperture is defined ashaving value one inside and zero outside. The two-dimensional Fourier transform of when is an -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.Keywords :
Apertures; Electromagnetic propagation in nonhomogeneous media; Fourier transforms; Periodic structures; Reflector antennas; Aperture antennas; Closed-form solution; Electromagnetics; Fourier transforms; Frequency selective surfaces; Helium; Optical scattering; Reflector antennas; Shape; Transmitting antennas;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1983.1142981
Filename :
1142981
Link To Document :
