P. Gay-balmaz et al., Analysis of multilayer printed arrays by a modular approach based on the generalized scattering matrix, IEEE ANTENN, 48(1), 2000, pp. 26-34
In this paper, a modular technique is used to treat infinite multilayer pri
nted arrays with apertures and patches of irregular shapes, Each array laye
r is characterized by a generalized scattering matrix (GSM) from which the
overall GSM of the multilayer structure is computed, The excitation of each
element is modeled as a transition from the microstrip line to an aperture
in the ground plane. The GSM of this transition is computed using the reci
procity theorem and spectral domain moment method. Several arrays have been
analyzed by the proposed technique and the numerical results are in good a
greement with other theoretical and experimental data.