Study of two arbitrarily located parallel cylindrical dipoles based on an auxiliary sources technique

In this paper, the radiation from two arbitrarily located parallel cylindrical dipoles is analyzed on the basis of the method of auxiliary sources (MAS). This method is applied by introducing sets of fictitious sources, which are located inside the dipoles, for the direct description of the radiated electromagnetic ( EM) field. The unknown currents of the sources are determined by imposing the electric field continuity conditions on the physical surface of each dipole. The presented solution is formed using spatially overlapped sinusoidal dipoles instead of elementary dipoles that are usually used in conventional implementations of the MAS. Since the currents of the fictitious sources are determined, the current distributions on the dipoles can be obtained by invoking the magnetic field boundary condition. After that, the self- and the mutual admittances/impedances of the dipoles are readily computable. Several examples are presented for various geometrical arrangements of the two-element array. In each case, the convergence of the resultant solution is verified by checking the stability of the computed self- and mutual admittance/impedance for an increasing number of fictitious sources. Finally, the presented results regarding the self- and mutual admittances/ impedances and the radiation pattern are compared with previously published data.