Design of planar arrays to obtain efficient footprint patterns with an arbitrary footprint boundary

Alternative formulation and applications aspects of the generalized projection method for array antenna synthesis

“…The transformation method [14] for planar array synthesis executes more rapidly than other contoured beam synthesis methods, even for large arrays for which we have found the application of alternative methods to be unfeasible in practice. One valid criticism [15] of the transformation method is that certain aspects inherent in its formulation force one to use an element number that is larger than is really necessary. This example shows how its patterns can be used synergistically with the present method to provide a starting point that avoids traps and without the disadvantage of unreasonably sized arrays.…”

Improved results for planar arrays in space communication applications

“…That technique involves stretching a pure real-continuous aperture and minimizing a cost function, and is applicable to planar arrays of a wide variety of grid structures, nonuniformly spaced arrays, and even arrays made up of nonidentical elements, and always results in pure real excitations-for designing resonantly spaced waveguide slot arrays, for instance. It has been demonstrated that the elimination of the elements with small currents from the planar array results in a minor degradation in the pattern [2]. Botha formation to achieve the required footprint contours.…”

“…This information is important in the areas of both radar cross section (RCS) investigation and target identification. Recently Potter, Chiang, Carriere, and Gerry proposed a new approach to scattering center extraction based on a scattering model derived from the geometrical theory of diffraction (GTD) [2]. According to the coherent stepped frequency far-field scattering measurements, their model may be used to obtain not only the one-dimensional imaging of the object, but also the frequency-dependent scattering information, allowing partial identification of scattering center geometry.…”

Synthesis of Very Large Planar Arrays for Prescribed Footprint Illumination

“…The method has been generalized to axisymmetric planar apertures (and hence, by sampling, to axisymmetric planar arrays) starting from uniform distributions [12]. Moreover, an angle-dependent deformation may be enforced over the resulting axisymmetric aperture distribution before its sampling: the sampled excitations may undergo direct optimization by using Fletcher-Powell method; and finally irregular footprints can be synthesized [13]. The main limitations of this method are, among others, that it is incapable of synthesizing arrays radiating very oblong footprints; that it does not provide direct control over the regularity of the excitation distribution; and, as with all local optimization techniques, there is little guarantee that the attained solution is a global rather than a local optimum.…”