Global Generalized Shannon Functions for the Scattering of 3D Polyhedral Surfaces
M. Casaletti (1), S. Maci * (1), and G. Vecchi (2)
(1) Department of Information Engineering, University of Siena, Siena, Italy. (2) LACE Department of Electronics, Politecnico di Torino, Torino, Italy.
The Integral Equation (IE) -Method of the Moment (MoM) approach is widely used in the prediction of the electromagnetic scattering. Typically this approach uses triangles to model the geometry and Rao–Wilton–Glisson (RWG) basis functions [1] to represent the surface current. This standard formulation has wellknown limits such as large memory occupation and complexity, that prevent its application to electrically large structures. Iterative approaches exploiting fast factorization methods and the family of methods that employ an “iteration free” approach are common choices to overcome these limitations. This family includes the Synthetic Basis Function method [2] and the Characteristic Basis Function method (SFX) [3]. While following the same general approach, at difference with the aforementioned methods we have recently introduced a complete set of analytical entire domain basis functions. These are linear-phase basis functions set based on an extension of Shannon sampling theorem, called Generalized Shannon functions (GSF) [4]; they are able to reconstruct the scattered field from a flat plate with a number of functions equal to the degree of freedom of the scatterer [5]. The GSF constitute a complete, discrete basis for any kind of equivalent currents on a flat finite surface; they are in a non redundant way by an (analytical) Gram-Smith orthogonalization process, so that the selection process does not require any Singular Value Decomposition (SVD) procedure. The aim of the present paper is to generalize the GSF in [4] to the generation of synthetic functions on large 3D polyhedral structures by the use of linear-phase spatial dependences. Our extension here is not based on a mere superposition of GSF of individual faces; instead, it defines global GSF with domain on the entire surface of the scatterer (Global Generalized Shannon function-G2SF).
IEEE Antennas and Propagation Society International Symposium (APSURSI)
2010
July
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