Popov M. Linear and nonlinear properties of magnetostatic resonators of elliptic cross-section

This thesis is devoted to the theoretical and experimental investigations of linear and nonlinear properties of different types of resonators with elliptic cross-section. The theory for magnetostatic surface oscillations in two dimensional electrodynamic structures of elliptic cross-section, on the basis of modified elliptical coordinate system, had been developed. This theory was applied for analysis of the magnetostatic surface oscillations resonators, namely, elliptic cavities, cylinders and tubes, and single elliptic cylindrical magnetic domain. Characteristic equations as well as spatial distribution of either magnetic field or magnetization were obtained and analyzed. Geometrical approximation for YIG film resonators, ferromagnetic nanowires and symmetric trilayered structures was suggested, and a good agreement between theory and experiment was obtained. The theory of parametrical processes in films with trigonal anisotropy was developed. The original research technique for spin waves' parametric excitation, on the basis of magnetostatic resonator's quality factor investigation, was suggested.