Matrix theory of dissipative antenna arrays

A theory of a phased antenna array with lossy radiating elements is elaborated. The theory is based on representation of a radiating system as the equivalent multi-port linking amplitudes of traveling waves in transmission lines with amplitudes of spherical waves in free space. Relations for calculation of blocks of a scattering matrix, that defines parameters of this multiport, are obtained under assumption that initial parameters of the radiating system the impedance matrix and partial radiation patterns (RP) - are known. A procedure for calculation of these parameters is described. It is based on the solution, with the moments method, of the electromagnetic boundary problem of the antenna array excitation at the alternating excitation of its inputs. The given relations allow effectively calculating parameters of transmitting and receiving phased antenna arrays.