New applications of the theorem on the extremal properties of the characteristic numbers of a sheaf of Hermitian forms in optimization problems for multifunction antenna arrays

Abstract

It is shown that optimization problems for multifunction antenna systems can be solved via reduction of new nonclassical functionals to a ratio of Hermitian forms with subsequent application of the theorem on the extremal properties of the characteristic numbers of a sheaf of Hermitian forms. Numerical investigations are performed with an array of rectangular waveguides with vector radiation patterns. The results obtained confirm the high efficiency of the proposed solutions.