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New method to evaluate the Fourier transform of a two-dimensional window function with piecewise continuous boundaries. Application in antenna theory

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1 Author(s)
Beeckman, P.A. ; Eindhoven University of Technology, Department of Electrical Engineering, Electromagnetics Group, Eindhoven, Netherlands

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.

Published in:

Microwaves, Antennas and Propagation, IEE Proceedings H  (Volume:133 ,  Issue: 4 )