Near-field radiation patterns of electrically small thin rectangular/square loop antennas

This paper presents an alternative vector analysis of the electromagnetic (EM) fields radiated from electrically small thin square and rectangular loop antennas of arbitrary length 2a and width 2b are 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. Both near- and far-zones are considered so that 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 the region (where r>√(a²+b²)) is derived by the use of the spherical Hankel function of the first kind, but also the closed series form of the EM fields radiated in the near zone inside the region 0⩽r<b is obtained in series of spherical Bessel functions of the first kind. The true regions between the radial distances b and √(a²+b²) which are defined as intermediate zones are characterized by both the spherical Bessel and Hankel functions of the first kind. Validity of the numerical results is discussed and clarified