This book discusses the problem of electromagnetic wave excitation in spatial regions with spherical boundaries and the accurate mathematical modeling based on numerical and analytical methods to significantly reduce the time required for developing new antenna devices. It particularly focuses on elements and systems on mobile objects of complex shape that are made of new technological materials. The experimental development of such devices and systems is an extremely time-consuming, lengthy, and expensive process. The book is intended for senior and postgraduate students and researchers working in the fields of radiophysics, radio engineering and antenna design. The authors assume that readers understand the basics of vector and tensor analysis, as well as the general theory of electrodynamics. The original results presented can be directly used in the development of spherical antennas and antenna systems for the mobile objects. The book addresses problems concerning the construction of Green's functions for Hertz potentials in electrodynamic volumes with spherical boundaries, and solves these clearly and concisely. It also uses specific examples to analyze areas where the results could potentially be applied. The book covers the following topics: * excitation of electromagnetic fields in coordinate electrodynamic volumes; * Green's functions for spherical resonators; * Green's functions for infinite space outside of spherical scatterers; * electromagnetic fields of dipole radiators on spherical scatterers; * electromagnetic fields of thin radial impedance vibrators on perfectly conducting spheres; * electrodynamic characteristics of narrow slots in spherical surfaces; * multi-element and combined vibrator-slot radiators on spherical surfaces.

The book is devoted to exploring the foundations of the theory of thin impedance vibrator antennas. The text provides a continuation of the classic theory of thin perfectly conducting vibrators. Many consider impedance conception one of the most universal models in the theory of wave processes, as it informs such a wide spectrum of uses in solving practical problems of electrodynamics. This topic provides an opportunity to further search analytical solutions, allowing a simplification of the mathematical formulation of the boundary problem. The theory strives to widen the boundaries of the impedance vibrator antennas application in complex modern radio-and-electronic systems and devices. The results of much original research conducted by the authors will be useful for practicing engineers and designers of antenna and waveguide systems. The book is written in an academic style, and can be used to teach students and post graduates about radiotechnical and radiophysical specialities. The conclusion of the book lists many actual applied problems, which can provide inspiration for several potential PhD projects. Topics covered in this book are: *general questions of the theory of impedance vibrators in the spatial-frequency representation *electromagnetic waves radiation by impedance vibrators in free space and material mediums *electromagnetic waves radiation by impedance vibrators in material mediums over the perfectly conducting plane *electromagnetic waves scattering by irregular impedance vibrators in free space *generalized method of induced electromotive forces for investigation of the characteristics of impedance vibrators *radiation of electromagnetic waves by radial impedance vibrators on the perfectly conducting sphere *electromagnetic waves scattering by impedance vibrators in the rectangular waveguide

This book discusses the problem of electromagnetic wave excitation in spatial regions with spherical boundaries and the accurate mathematical modeling based on numerical and analytical methods to significantly reduce the time required for developing new antenna devices. It particularly focuses on elements and systems on mobile objects of complex shape that are made of new technological materials. The experimental development of such devices and systems is an extremely time-consuming, lengthy, and expensive process. The book is intended for senior and postgraduate students and researchers working in the fields of radiophysics, radio engineering and antenna design. The authors assume that readers understand the basics of vector and tensor analysis, as well as the general theory of electrodynamics. The original results presented can be directly used in the development of spherical antennas and antenna systems for the mobile objects. The book addresses problems concerning the construction of Green's functions for Hertz potentials in electrodynamic volumes with spherical boundaries, and solves these clearly and concisely. It also uses specific examples to analyze areas where the results could potentially be applied. The book covers the following topics: * excitation of electromagnetic fields in coordinate electrodynamic volumes; * Green's functions for spherical resonators; * Green's functions for infinite space outside of spherical scatterers; * electromagnetic fields of dipole radiators on spherical scatterers; * electromagnetic fields of thin radial impedance vibrators on perfectly conducting spheres; * electrodynamic characteristics of narrow slots in spherical surfaces; * multi-element and combined vibrator-slot radiators on spherical surfaces.