Analysis of Large Complex Structures With the Synthetic-Functions Approach

Convergence Properties of a Diakoptics Method for Electromagnetic Scattering From 3-D Complex Structures

“…Therefore, it is expedient to investigate how the geometry and the material properties of a structure affect the convergence rate of the current coefficients a s [see (4)] and ultimately, the number n A of ABFs necessary for a given level of accuracy. Regarding this, the effect of geometrical variables (e.g., number, position and distance of the bricks) and certain combinations of material properties and frequency were already addressed elsewhere [11][12][13]: For quick reference we summarize the main results hereafter, while wittingly omitting data not really conducive to the discussion of Section 4.3.…”

“…The original problem is then rigorously reconstructed upon combining the various parts in a consistent manner. Among the methods that fit this description are (list is definitely incomplete): the Synthetic Function Expansion [4], the Characteristic Basis Functions Method [5], the Equivalence Principle Algorithm [6], the Generalized Surface Integral Equation method [7], and Linear Embedding via Greens Operators (LEGO), developed by these authors [8,9].…”

Hybridization of Efficient Modeling Techniques for Fast Analysis of Large-Scale Antenna Structures in the Context of the Square Kilometre Array Project

“…Furthermore, the CBFs have to be generated such as to synthesize a continuous current flow across the boundaries between adjacent antenna elements. A possible solution to the latter problem is to let CBFs partially overlap, or to use special bridge-functions [7], [10].…”

“…In addition, existing computer codes can be reused/upgraded by only minor modifications. Techniques similar to CBFM are, e.g., the eigencurrent approach [6] and the synthetic functions approach [7].…”

Computational Techniques for Antenna Engineering

“…The currents on these patches are determined for an isolated patch and/or for a patch in an infinite array. 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.…”