DocumentCode
1261820
Title
The Fourier transform of linearly varying functions with polygonal support
Author
Mcinturff, Kim ; Simon, Peter S.
Author_Institution
Raytheon Co., Goleta, CA, USA
Volume
39
Issue
9
fYear
1991
fDate
9/1/1991 12:00:00 AM
Firstpage
1441
Lastpage
1443
Abstract
New formulas for the two-dimensional Fourier transform of functions with polygonal support and linear amplitude variation are derived from the corresponding formula for a constant function. These expressions, valid for all nonzero values of the transform variable k , are superior to those previously reported, which fail when k is perpendicular or parallel to any edge of the polygon. These transforms have applications in diffraction theory and computational electromagnetics
Keywords
Fourier transforms; electromagnetic field theory; electromagnetic wave diffraction; Fourier transform; computational electromagnetics; electromagnetic diffraction; linear amplitude variation; linearly varying functions; polygonal support; two dimensional transforms; Antenna measurements; Antennas and propagation; Apertures; Fourier transforms; Microwave antennas; Microwave propagation; Optical surface waves; Phased arrays; Probes; Shape;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.99058
Filename
99058
Link To Document