Title :
The Fourier transform of linearly varying functions with polygonal support
Author :
Mcinturff, Kim ; Simon, Peter S.
Author_Institution :
Raytheon Co., Goleta, CA, USA
fDate :
9/1/1991 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
