Title :
New method to evaluate the Fourier transform of a two-dimensional window function with piecewise continuous boundaries. Application in antenna theory
Author_Institution :
Eindhoven University of Technology, Department of Electrical Engineering, Electromagnetics Group, Eindhoven, Netherlands
fDate :
8/1/1986 12:00:00 AM
Abstract :
Two-dimensional window functions and their Fourier transforms are widely used in electromagnetics and optics. It is shown that the two-dimensional Fourier transform of a window function can be written as a line integral along the boundary contour of that window function. This reduction of the two-dimensional Fourier integral to a one-dimensional line integral is attractive for both the closed-form and numerical evaluation of the Fourier transform of complex shaped window functions. Some applications of this new evaluation method are discussed.
Keywords :
Fourier transforms; antenna theory; 2D window function; Fourier transforms; antenna theory; boundary contour; line integral; piecewise continuous boundaries;
Journal_Title :
Microwaves, Antennas and Propagation, IEE Proceedings H
DOI :
10.1049/ip-h-2.1986.0051