Strip and line source synthesis with a quality factor constraint

Rhodes' antenna synthesis method is extended and modified to include strip source antenna systems that are optimized for a given value of a quality factor. A set of biorthogonal aperture functions, which happen to minimize the quality factor functional of the antenna, are shown to have a finite Fourier transform that is doubly orthogonal over the invisible and visible ranges of the radiation pattern. The biorthogonality properties of the above functions as well as the double orthogonality properties of the finite Fourier transforms of these functions are shown to lead to a synthesis method that is numerically identical to Rhodes' but which handles a more general class of antennas.