Eigencurrent analysis of resonant behavior in finite antenna arrays

Fast Analysis of Periodic Antennas and Metamaterial-Based Waveguides

“…This concept of reducing the matrix equation and decomposing the problem into smaller problems has been widely exploited in recently developed iterative-free methods for large-scale problems. For instance, the Characteristic Basis Function Method (CBFM) [24,32,34,43,49], which has been successfully applied to a large class of scattering and radiation problems, the Synthetic-Functions Approach (SFX) [29], [31], the Sub-Entire-Domain Basis Function Method (SED) [21], the eigencurrent approach [2], which has recently been combined with the Linear Embedding via Green's Operators approach (LEGO, [19]), and a subdomain multilevel approach [41]. The objectives of these methods are similar, namely to reduce the matrix equation by employing physics-based macro basis (and test) functions for the electric and/or magnetic surface currents.…”

Computational Techniques for Antenna Engineering

“…In the synthetic functions (SFX, [4]) and characteristic basis function (CBF, [5]) approaches, this is achieved by moving an elementary source in the vicinity of the patch, and using the singular-value decomposition to extract independent distributions. In the eigenfunction approach [6], the eigencurrents of the integral operator for the isolated patch are used as basis functions. Thus, the choice of the varying excitation and the subsequent SVD are avoided.…”

Spectral analysis of integro-differential operators applied in linear antenna modelling

“…A second example concerns the analysis of antenna arrays, where the eigenfunctions are standing waves that represent specific scan and resonant behaviours of the array. The corresponding eigenvalues are characteristic impedances; they predict resonance phenomena, which are related to the occurrence of surface waves supported by the truncated periodic structure [1,3,18]. For overviews with other examples we refer the reader to [15,26].…”