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A Complete Set of Linear-Phase Basis Functions for Scatterers With Flat Faces and for Planar Apertures

A Complete Set of Linear-Phase Basis Functions for Scatterers With Flat Faces and for Planar Apertures,10.1109/TAP.2010.2096178,IEEE Transactions on A

A Complete Set of Linear-Phase Basis Functions for Scatterers With Flat Faces and for Planar Apertures   (Citations: 1)
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Entire-domain basis functions are introduced for the analysis of scattering from bodies with flat portions, and of ra- diation from planar apertures; they are defined via the applica- tion of the sampling theorem of Shannon. These basis functions are particularly convenient for polygonal contours; however, arbi- trary contours can be treated in the same framework with a very minor pre-processing time. A non-redundant set of basis functions is determined a priori by explicit approximate formulas either for currents and for radiated field. Numerical results are presented to shown the accuracy of the method. Index Terms—Aperture antennas, integral equation methods, method of moments (MoM), physical optics, radiation, scattering.
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    • ...These functions, called Linear-Phase Basis Functions (LPF) have been introduced in [2] for flat surfaces and are able to reconstruct the scattered field from a flat plate with a number of functions equal to the degrees of freedom of the scatterer...
    • ...In this paper we present a generalization of the LPF introduced in [2] to curvilinear basis function able to represent any current on a curved surface...
    • ...The representation in (2) implies that any current in the parametric space can be represented exactly in terms of a discrete set of spatially windowed (compactly supported) plane-wave basis functions that we call LPF according to [2]...
    • ...We note that the coefficients in (5) are all expressed in a closed form [2]...

    Massimiliano Casalettiet al. A large domain complete basis functions for curved surfaces

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