Pyenkin Y. The excitation of electromagnetic waves in volumes with curvilinear coordinate boundaries

The object of study: physical phenomenon of the excitation of electromagnetic waves. The aim of study: devel-opment of mathematical methods of investigation of the excita-tion of electromagnetic waves in space volumes having spheri-cal or cylindrical boundaries. Basic method of investigation: the method of Green's function for vector Hertz's potentials. Theoretical and practical results: Constructed were representa-tions of Green's functions for spherical resonators and space outside spherical scatters with both perfectly conducting or impedance boundary surfaces, filled with homogeneous me-dium or concentric layer dielectric structure; for infinite, half-infinite cylindrical volumes and resonators with both perfectly conducting or impedance flat transverse boundary surfaces and with homogeneously or longitudinally-inhomogeneous layer dielectric filling. Radiation characteristics of dipole and slot spherical surface antennas, including particular cases, when radiators are situated on a semi-sphericalprotuberance on a perfectly conducting infinite screen, were investigated with the help of constructed Green's functions. The area of application: stationary electrodynamics.