Electromagnetic Field Screening on a Limited Antenna Arranger Located on a Multilayer Dielectric

The analysis presented in the article is based on the concept of the window function superimposed on the sought distribution of currents and integrated into the structure of the problem of scattering on a periodic unconfined structure which is an antenna array located on a multilayer dielectric. The function used allowed to solve the problem of scattering on an unlimited periodic antenna array. The presented solution to the analysed scattering problem is based on the spectral decomposition of the window function into Floquet harmonics ek(x,y). In general, the analysis of the problem also allows for the possibility of decomposing the window function into mesh harmonics with different grid pitch values, for example equal to Mdx and Ndy, respectively in the directions of the x and y axes. In this case, it corresponds to the spectral distributions on the planar harmonics of a rectangular unconfined periodic structure with a single cell carrier equal to that of the HMN function.