An eigencurrent description of finite arrays of electromagnetically characterized elements

Abstract

[1] To describe the behavior of a finite array, the current distribution on each of its elements is represented by a finite number of eigencurrents or modes. Subsequently, the eigencurrents of the array are expanded in terms of these element eigencurrents. For uniform linear arrays of loops and dipoles, the array-eigencurrent expansions and their associated eigenvalues are investigated. We focus on their parameter independent and diagonalizing features, and on their interpretation in terms of far-field characteristics and (standing) wave behavior.

An Eigencurrent Approach for the Analysis of Finite Antenna Arrays

“…Each corresponding (array) eigencurrent is expanded in terms of the (array) currents , or, in terms of the element eigencurrents on each element, where the expansion coefficients are an eigencolumn of length of the moment matrix. For a detailed study of the expansion coefficients and their interpretation we refer to [41]. For each , the relative deviations describe the spread of the group with respect to the element eigenvalue.…”

“…Symbols: DIF [3] for 0 of scan (black 3) and the relative difference between the MoM and the CBFM for two (gray 2) and three (gray ) CBFs for 0 of scan. dominant part of higher-order array eigencurrents by that of lower-order array eigencurrents [31], [41], [45].…”

“…In [41] we studied the parameter dependence of the array eigencurrents and their physical interpretation. We demonstrated that the spectra of finite and infinite arrays mimic each other, which suggests a link between eigencurrents and Floquet waves.…”

Analysis and design of post-wall waveguides for applications in SIW

“…We note that reduced full-wave models have in recent years led to succesful tools for the design of antennas and microwave structures at TNO Defence, Security and Safety, see [5,[42][43][44][45][46]. The stratified-medium model described in the first two references and the Multi-mode Equivalent Network approach described in the third and fourth assume periodicity or uniformity in two orthogonal directions and assume a layered medium in the third (orthogonal) direction.…”

“…with electric and magnetic surface currents J surf and M surf defined by 46) where the restriction is applied outside of ∂Ω. We note that in (2.43) the restriction of the fields to ∂Ω is carried out inside of ∂Ω.…”