Fourier transform of a linear distribution with triangular support and its applications in electromagnetics
Abstract
A threedimensional (3D) Fourier transform (FT) of a linear function with triangular support is derived in its coordinatefree representation. The Fourier transform of this distribution is derived in three steps. First, the 2D FT of a constant (top hat) function is obtained. Next, the distribution is generalized to a linearly varying function. Finally, the formulation is extended to a coordinatefree representation which is the 3D FT of the 2D function defined over a surface. This formulation is applied to the nearfield computation, yielding accurate numerical solutions.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 February 1991
 DOI:
 10.1109/8.68191
 Bibcode:
 1991ITAP...39..252H
 Keywords:

 Computational Grids;
 Electromagnetic Surface Waves;
 Fourier Transformation;
 Linear Equations;
 Reflector Antennas;
 Two Dimensional Models;
 Antenna Radiation Patterns;
 Current Distribution;
 Galerkin Method;
 Radar Cross Sections;
 Communications and Radar