Antenna synthesis and optimization using weighted Inagaki modes

Inagaki modes represent a new modal formalism for problems of radiation and scattering from arbitrary discrete and continuous structures. These modes can be generalized to be orthogonal over any sector of the sphere at infinity, as well as the source region itself. Theory and application of these modes to problems of pattern synthesis and array optimization, including constraints, are presented. Examples are given for a line source, an array of printed dipoles, and a dipole array in free space.