Chumachenko S. Stationary oscillations and time-varying electromagnetic fields in the cylindrical cavities of the complicated form

The thesis is devoted to problems of solving Maxwell's equations in the cavities containing time-varying or nonlinear medium. The cylindrical resonators with a bounding surface of the complicated form are consid-ered.With the purposes of obtaining problem solving the Method of Evolutionary Equations (or Method of Modal Basis) is used. It allows to investigate the cavi-ties with time-varying mediums and without the limita-tions on the constitutive relations and on the functions of impressed sources, namely: to take into account all time-varying or nonlinear effects in mechanisms of polarization, magnetization and conductivity of a me-dium, that results in faithful representations for the un-known electromagnetic field.