Antenna synthesis and solution of inverse problems by regularization methods

Antenna pattern synthesis is discussed as an example of "improperly posed" problems. This serves the purpose of introducing a concept that is useful in many other applications: remote sensing, inverse scattering, etc. It also suggests that regulation methods that have been devised to "solve" improperly posed problems can be applied to antenna synthesis and the aforementioned problems. This gives systematic methods for solving the pattern synthesis problem even when the element patterns are arbitrary.