Power beaming is the ability to move energy without moving or employing mass between an energy input and energy output. It is an emerging technology that could reshape how we generate and distribute energy and how our devices and autonomous systems are powered. This comprehensive compendium provides the foundation needed for researchers, technology developers, and end users to understand the promise and challenges for power beaming. By establishing a common nomenclature and conceptual approach to the analysis and assessment of power beaming systems, this unique reference text provides a true status of advancements in the field, and lays the groundwork for fruitful future research and applications.