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Wireless power transmission (WPT) through microwave beams represents a key technology for the long distance transfer of energy in the absence of a traditional electrical network. Its importance is demonstrated by the increasing research and industrial activities concerned with the design, manufacturing, and prototyping of efficient WPT systems. In this framework, several design methodologies are being investigated for the synthesis of transmitting antenna arrays able to maximize the power beaming efficiency of WPT systems. In this contribution, the state-of-the-art design techniques for WPT arrays are reviewed, and some of the latest advances in this field are discussed.