A radar array has an antenna base that remains stationary. The array is made up of a grid of fixed antenna elements, and each can be programmed to individually transmit and receive a signal. As a result, the radar beam(s) can be steered electronically, giving users the ability to control how, when and where the radar scans. Optimizing this process is a complex mathematical process of great interest to radar systems designers and operators. This book is concerned with radar array design exploiting tools from modern optimization theory. Each chapter is written by renowned researchers in radar array design/optimization theory. The book shows the potential benefits in radar beampattern achievable using modern optimization theory.