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Synthetic function analysis of large printed structures: the solution space sampling approach

Synthetic function analysis of large printed structures: the solution space sampling approach,10.1109/APS.2001.959787,L. Matekovits,G. Vecchi,G. Dassa

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Synthetic function analysis of large printed structures: the solution space sampling approach   (Citations: 57)
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This work proposes an algorithm based on the numerical definition of entire domain basis functions to be used in the full-wave method of moments (MoM) solution for large printed antennas. After a block partitioning of the structure, entire domain basis functions are generated and then employed in the global solution process. The generation algorithm and a possible selection model is presented in detail. The method permits a strong reduction of memory occupation and computation time. A numerical example for a 4 × 2 array of stacked patches is presented
Conference: Antennas and Propagation Society International Symposium - APSURSI , 2001
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    • ...Because of this, alternative, iteration free approaches [2]–[5] have been presented in recent years...
    • ...A key point in the construction of the synthetic basis functions is the application of a singular value decomposition (SVD) [2], [4], [5] to select the relevant and linearly independent responses...

    Massimiliano Casaletti, et al. A Complete Set of Linear-Phase Basis Functions for Scatterers With Fla...

    • ...(Bridge basis functions are basis functions shared by two neighbouring domains.) In case of synthetic function approach (SFA) the excitations are performed by electric dipoles densely placed over the surface surrounding the domain [15], [16]...

    Miodrag S. Tasic, et al. Efficient Analysis of Large Scatterers by Physical Optics Driven Metho...

    • ...The basics of the method are described in [6],[7]...

    F. Milani, et al. Array full-wave optimization and space mapping techniques using fast M...

    • ...[2][3] and references therein) that eventually leads to a compression of the number of unknowns of the system...
    • ...In particular we employ the DD technique known as Synthetic Function eXpansion (SFX) [2][3] and an FFT-based method knowns as Green’s function Interpolation accelerated by the Fast Fourier Transform (GIFFT) [10]-[12]...
    • ...The SFX method basically consists in dividing the overall structure to be analyzed into blocks, recognizing that the degrees of freedom of the field coupling between the solution on these portions are limited, and building basis functions that exploit this property [2][3]...

    M. A. Francavilla, et al. Multilevel cell grouping scheme for an SFX/GIFFT approach for the anal...

    • ...In a somewhat dual approach, other works (e.g., [1]–[3]) address the memory and time reduction without necessarily requiring an iterative solution...
    • ...Application of the Adaptive Integral Method (AIM) [8] to the Synthetic Functions aggregation paradigm [1], [2] was first presented in the conference paper [10]; the Characteristic Basis Function (CBF) [3] aggregation method was combined in [12] with the Adaptive Cross Approximation (ACA) low-frequency fast factorization [16], [17]...
    • ...In carrying out the above, we will specifically refer to the Synthetic Functions (SFs) method [1], [2]; similar considerations can be applied for instance to the approach described in [3]...

    Angelo Freni, et al. Fast-Factorization Acceleration of MoM Compressive Domain-Decompositio...

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