Rybin O. Two-Component Metamaterials and Patch Antennas оn Them.

The dissertation is dedicated to the theoretical and experimental investigation of the effective properties of two-component metal-dielectric metamaterials as well as the principles of miniaturization of microwave patch antennas on the metamaterials and improving the far near and field parameters of such antennas. First chapter is dedicated to the reference review regarding the topic of the dissertation as well as the substantiation of choice of the topic. Second chapter is dedicated to the creation of effective medium theory for unbounded isotropic dielectric with periodic embedded non-magnetic metal inclusions of cylindrical and spherical shape. Microwave approximations for tensors of the both effective relative permittivity and effective relative permeability are obtained for the first time for the mentioned composite media. It is shown for the first time that the considered metamaterial media possess the enhancement of effective relative permittivity and diamagnetic effective relative permeability in the microwave frequency range as well as they have low dielectric and magnetic losses in the microwave frequency range. Physical interpretation of the phenomenon of enhancement of the effective relative permittivity of non-magnetic metamaterials considered as well as their diamagnetic relative permeability in this chapter is made for the first time. Third chapter is dedicated to the experimental confirmation of the theory created in the second chapter. In order to do that the metamaterial samples were fabricated. The metamaterials as dielectric matrices of parallelepiped form with periodical imbedded metal inclusions of cylindrical shape. The measurements of the effective relative permittivity and permeability of metamaterials were performed in this chapter as well as the description of a cheap measurement method. Fourth chapter is dedicated to the creating of hybrid method of layer-wise decomposition of slab metamaterial media in the direction perpendicular to the lateral sides of metamaterial media. It is shown that flat metaldielectric composites can have the enhancement of ef-fective relative permittivity and diamagnetic effective relative permeability in the microwave frequency range. Moreover, the last phenomena are strongest if the above composites are metamaterials. Fifth chapter is dedicated to the creation of effective medium theory for unbounded isotropic dielectric with periodic embedded ferric inclusions of cylindrical and spherical shape. It is assumed that the inclusions are fully or partially magnetized by an external bias dc magnetic field. Microwave approximation for tensor of the ef-fective relative permeability is obtained for the first time for the mentioned composite media. It is shown for the first time that the considered metamaterials possess in the microwave frequency range the next properties: independently on the magnetization level, the magnetic metamaterials reveal three different phenomena subject to the direction of wave propagation: a) enhancement of the effective relative permeability; b) ultra-low refractive index; c) negative values of the effective relative permeability; d) the magnetic loss can seriously alter in the microwave frequency range. It is also obtained in this chapter for the first time the conditions of absence of low-field losses are obtained for the considered magnetic metamaterials. It is obtained for the first time that the considered magnetic metamaterials can block the microwave monochromatic wave propagation or can fully transmit the microwave monochromatic wave or can transmit the microwave monochromatic wave with inverting its phase subject to the value of dc bias magnetic field. Sixth chapter is dedicated to the creation of principles of the miniaturization of microwave patch antennas with improved near/far field parameters. It is shown for the first time that a considerable miniaturization of profile of a microwave patch antenna with an improvement of power gain and efficiency by using metamaterial/layered composite substrates with enhancement in the effective relative permittivity and/or permeability. Moreover, the larger number of layers the better im-provement of power gain and efficiency if the volume profile is kept unchanged. The basic relation between the resonant frequency and desired thickness of metamaterial/composite substrate is obtained in this chapter for the first time in assuming that maximum miniaturization of the volume profile is achieved for a microwave patch antenna with non-magnetic substrate with enhanced effective relative permittivity.