Method of Moments Analysis of Electrically Large Thin Square and Rectangular Loop Antennas: Near- and Far-Zone Fields

This paper presents a method of moments (MoM) analysis, obtains the non-uniform current distribution in closed form, and computes the resulted radiated patterns in both near and far zones, of square and rectangular loop antennas with electrically larger perimeter. An oblique incident field in its general form is considered in the formulation of the non-uniform current distributions. In the Galerkin’s MoM analysis, the Fourier exponential series is considered as the fulldomain basis function series. As a result, the current distributions along the square and rectangular loops are expressed analytically in terms of the azimuth angle for various sizes of large loops. Finally, an alternative vector analysis of the electromagnetic (EM) fields radiated from thin rectangular loop antennas of arbitrary length 2a and width 2b is introduced. This method which employs the dyadic Green’s function (DGF) in the derivation of the EM radiated fields makes the analysis general, compact and straightforward in both nearand farzones. The EM radiated fields are expressed in terms of the vector wave eigenfunctions. Not only the exact solution of the EM fields in the near and far zones outside √ a2 + b2 are derived by the use of the spherical Bessel and Hankel functions of the first kind respectively, † Also with High Performance Computation of Engineered Systems (HPCES) Programme Singapore-MIT Alliance (SMA), 10 Kent Ridge Crescent Singapore 119260 118 Lim, Li, and Leong but also the inner regions between a and √ a2 + b2 are characterized by both the spherical Bessel and Hankel functions of the first kind. Validity of the numerical results is discussed and clarified.