The purpose of this thesis is to develop and study electrodynamic models of multi-element microstrip antenna arrays of both the lens (PAA) and reflector (RAA) types, as well as SHF and EHF devices for spatial, frequency, and polarization discrimination and transformation based on open printed electrodynamic structures; to develop and study electrodynamic recording methods for feeder system influence on the radiation and matching characteristics of multi-element microstrip PAAs, as well as that of constructional elements of microwave control devices (such as microwave components of smart coverings) on the dispersion characteristics of reconfigurable microstrip RAAs; to implement these models and methods in the form of effective computational algorithms for calculating electromagnetic fields induced in multi-element microstrip array antennas; and to study the electrodynamic characteristics of these arrays and elaborate guidelines for their design.

Accordingly, the objectives of the paper are the following:

—	To develop effective methods of recording the electrodynamic influence of constructional element rigidity in microwave control devices (both mesa-planar and surface-oriented) on the characteristics of printed multi-element reconfigurable reflector antenna arrays.
—	To develop effective electrodynamic models of multi-element microstrip reflector antenna arrays whose printed radiators/reradiators may be not only of any shape, but also three-dimensional.
—	To develop effective methods of recording the electrodynamic influence of feeder system rigidity in printed micro-element phased antenna arrays on their characteristics.
—	To develop effective electrodynamic models of multi-element microstrip phased antenna arrays whose printed radiators/reradiators may be not only of any shape, but also three-dimensional.
—	To develop methods of electrodynamic analysis of the radiation and matching characteristics of multi-element printed phased antenna arrays of the vibrator type, based on the solution of diffraction problems.
—	To develop an effective electrodynamic model of a multilayer multi-array planar frequency-selective surface whose printed elements may be of any shape.
—	To study numerically and develop, using the electrodynamic models which have been developed, spatial, frequency, and polarization discrimination and transformation devices based on multi-element printed diffraction arrays, as well as to conduct experimental study of them.
—	To study numerically and develop, using the mathematical models of multi-element arrays which have been developed, printed elements of enhanced-characteristic focusing and scanning antenna systems with optical feed circuits of the reflector (reflector antenna with a flat reflector) and lens (spiraphase lens) types, as well as to conduct experimental study of them.
—	To study the dispersion characteristics of microstrip reflector antenna arrays with reconfigurable elements for performing the functions required of SHF and EHF components of smart radioelectronic coverings.

The scientific originality of the thesis is located in the following areas: The thesis is of scientific importance for creating a new methodology for effective electrodynamic analysis of multi-element strip and microstrip antenna arrays of the lens and reflector types, with both closed and open distribution systems, which can be also applied in parameter calculations for other types of multi-element flat-aperture antenna arrays; for its effective analytical methods, which are applicable to a wide range of frequency-selective surfaces, angular and polarization filters, and polarization transformers in the SHF and EHF bands; and the proposed method for determining the matching characteristics of the radiators of printed PAAs of the vibrator type based on solving a number of diffraction problems.

Propositions to be defended:

—	The entire set of mathematical models of multi-element microstrip phased and reflector antenna arrays, as well as spatial, frequency, and polarization discrimination and transformation devices based on them, which rest on the solution of three-dimensional electromagnetic induction problems. These are models for:
	— Microstrip stub reflector and phased antenna arrays. — Printed reflector and phased antenna arrays with combined elements. — Multilayer reflector lens arrays with stacked elements. — A flat spiraphase focusing lens with circular polarization based on microstrip reflector and lens antenna arrays. — A microstrip reflector antenna array with surface-oriented impedance inclusions.
—	The electrodynamic recording methods for feeder system influence on the radiation and matching characteristics of multi-element microstrip PAAs, and for the influence of constructional elements of microwave control devices on the dispersion characteristics of reconfigurable printed reflector antenna arrays.
—	The methods for determining the parameters of multi-element microstrip phased antenna arrays by using the results of solving diffraction problems.
—	The entire sets of computational algorithms and programs for implementation of the calculation models and methods developed for all of the electrodynamic problems stated in the thesis, which allow considerable extension of the capabilities for modeling multi-element printed antenna arrays and spatial, frequency, and polarization discrimination and transformation devices based on them.
—	The new scientific findings concerning particular features of electromagnetic wave dispersion on reconfigurable microstrip RAAs (including those with combined elements, impedance stubs, and surface-oriented inclusions), as well as the induction of multi-element printed PAAs and spatial, frequency, and polarization discrimination and transformation devices, which make it possible to elaborate guidelines for the use of multi-element microstrip arrays as SHF and EHF modules in smart coverings.
—	New, scientifically grounded technical solutions in the field of creating multi-element microstrip phased and reflector antenna arrays, as well as spatial, frequency, and polarization discrimination and transformation devices based on them, including:
	— A constructional solution for an economical scanning antenna array in the form of a flat spiraphase lens based on multi-element arrays consisting of printed radiators. — Broadband phase-correcting flat reflectors which make it possible to transform the polarization of the reflected field in dual-reflector antenna systems. — A number of fundamental and constructional solutions both for multipurpose radomes and fractal frequency-selective surfaces, and for SHF and EHF smart-covering components.