Application of a conjugate gradient method to the synthesis of planar arrays

It is postulated that numerical stability and reliability are increased by using an exact conjugate gradient algorithm with an approximate operator for the synthesis of planar arrays. Special computer architecture exists for vectorization and parallel computation of the matrix vector products found in the exact algorithm. The proposed synthesis method is illustrated for the case of a planar array of z directed dipoles with either constant amplitude variable phase excitation or variable amplitude and phase excitation. As expected, the main beamwidth is dominated by the equivalent aperture of the array rather than the amplitude and phase of the signal.<>