This book provides solutions to a complex of internal and external problems of electromagnetics associated with the development of theory, construction of mathematical models and the development of rigorous methods for calculating the electrodynamic characteristics of radiating structures and antenna arrays with impedance vibrator and slot elements. The issues related to the impedance synthesis of antenna arrays and analysis of large-aperture rectenna arrays are considered. Solutions to the problems of determining the electrodynamic characteristics of impedance vibrators, slot and multi-element radiators with arbitrary geometric and electrophysical parameters are obtained within the framework of a unified methodological approach to constructing asymptotic solutions of integral equations for currents. This approach made it possible to study a number of new vibrator, slotted, and combined vibrator-slotted structures and their multi-element systems. The original research results reveal the possibilities of using such structures as basic elements for creating modern antenna-waveguide devices operating in the range from meter to millimeter wavelengths which have new technical characteristics and functionalities. This book is intended for senior and postgraduate students and researchers working in the fields of radiophysics, radio engineering and antenna-feeder design. The book covers the following topics: Excitation of Electromagnetic Fields in Electrodynamic Volumes with Coordinate Boundaries General Aspects of the Theory of Thin Impedance Vibrators and Narrow Slots in a Quasi-One-Dimensional Approximation Impedance Vibrators Antenna Arrays Slotted Waveguide Antenna Arrays Combined Vibrator-Slot Antenna Arrays Impedance Synthesis for Vibrator Antenna Arrays Impedance Synthesis for Slot Antenna Arrays Large-Aperture Rectenna Arrays of Wireless Power Transmission Systems Ultrawideband Combined Vibrator-Slot Antenna Arrays.