Theory and design of a class of Luneberg lenses

Certain interesting properties appertain to spherically symmetrical lenses with indices of refraction which vary with the radius only. The most important member of this class, at least for microwave applications, is the Luneberg lens. It is the aim of this study to summarize and classify a large number of these lenses. With this approach, a new class of lenses of theoretical interest appears...the so-called higher-order lenses. Several applications are mentioned in this report.