Controlled Brewster Effect in the Scattering of Electromagnetic Waves on Pseudo-Rotating Lattices of Dielectric Resonators

Various conditions for the occurrence of anomalous scattering, in which most of the power is emitted by the lattice only in the direction of propagation of the incident wave, are analyzed. An analytical model for the scattering of plane electromagnetic waves on arrays of pseudo-rotating dielectric resonators (DRs) of cylindrical and rectangular shape is developed. New analytical relations are derived for the functions that determine the coupling between the field of a plane wave and the main types of magnetic oscillations of the rotated DR. The angles between the axis of the DR and the directions of propagation of plane waves, at which the coupling between the DR and the incident wave reaches extreme values, are studied. The conditions of non-resonant scattering and scattering with the absence of a reflected petal, known as the Brewster effect, were established. The general relations between the angles of inclination of DRs, polarization and the angles of incidence of waves on lattices, which lead to special cases of scattering, were found. There is a similarity between non-resonant scattering and the known Malyuzhynets effect, which describes the passage of waves through lattices of other types. Scattering models for lattices of rotated cylindrical and rectangular DRs were built. The difference between the classical Brewster effect and the petal-free cases of scattering on lattices built on the basis of the use of pseudo-rotating DRs was noted. In particular, it's shown that, unlike other methods of realizing metasurfaces of this class, cases of scattering without petals on lattices of pseudorotating resonators are possible when the angles of incidence are changed in a wider band. The obtained theoretical results allow us to propose a new class of devices built on the basis of the use of pseudo-rotating DRs, to significantly reduce the calculation time and to optimize complex multi-resonator structures. New types of lattices built on pseudo-rotating DRs can be used to design a wide class of antennas, as well as multiplexing devices in terahertz, infrared, and optical wavelength range communication systems.