On the combination of the method of auxiliary sources with reaction matching for the analysis of thin cylindrical antennas

Abstract

SUMMARYIn the present paper, a combination of the method of auxiliary sources (MAS) with the reaction matching (RM) technique is investigated for the treatment of thin wire antennas. The influence of the use of additional monopole terminal sources on the numerical stability and the accuracy of the solution is thoroughly studied for both scattering and radiating antennas. Although the proposed method (MAS-RM) is somehow similar to the method of moments (MoM) with sinusoidal basis and testing functions, it possesses substantial advantages against the MoM with regard to the numerical stability of the current distribution and the behaviour of the boundary condition error. Several examples are presented for both the scattering and radiating case in order to illustrate the features and capabilities of the proposed method. Finally, a few concluding remarks are discussed and the advantages of the proposed method over the MoM are outlined.

A Combined Method of Auxiliary Sources-Reaction Matching Approach for Analyzing Moderately Large-Scale Arrays of Cylindrical Dipoles

“…The proposed method is an extension of the method presented in [8] for a single dipole. The MAS is a well-established numerical method, which has been recently recognized to be a branch of the generalized multipole techniques (GMTs) [9,10].…”

“…In (5), the vector F D stands for the EM field generated by a sinusoidal dipole, while the vectors F + M and F − M stand for the EM fields generated by the upper and lower half of a sinusoidal dipole, respectively, which correspond to the positive and negative monopoles described in [8].…”

“…Such a distribution of the auxiliary sources is proper only when the elements are sufficiently thin (compared to the operating wavelength). For reasons that have been reported elsewhere [8,12], the auxiliary sources are selected to be sinusoidal dipoles, instead of elementary dipoles that are usually employed with the MAS [10]. The auxiliary dipoles are spatially overlapped in a manner that the center of each one is placed exactly at the ends of the two adjacent ones.…”

“…The auxiliary dipoles are spatially overlapped in a manner that the center of each one is placed exactly at the ends of the two adjacent ones. Moreover, as in [8], two auxiliary monopoles are also introduced in each element, which are located in such a way that their inner ends coincide with the centers of the outer auxiliary dipoles and their outer ends are situated…”

“…The MAS is a well-established numerical method, which has been recently recognized to be a branch of the generalized multipole techniques (GMTs) [9,10]. Herein, as in [8], the RM [11] is utilized in conjunction with the MAS, which leads to the adoption of the initials MAS-RM. Although the resulting matrix equation is similar to that obtained from the MoM with piecewise sinusoidal (PWS) basis and testing functions, there are critical differences between the two methods, which are discussed hereinafter.…”