Maxwellian Circuits of Conducting Circular Loops

• Published in: IEEE transactions on antennas and propagation Vol. 59; no. 10; pp. 3848 - 3854
• Main Authors: Wenhui Shen, Changwei Xue, Mei, K. K., Jiahong Lin
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Applied classical electromagnetism; Applied sciences; Circuits; Circular loop antenna; circular loop scatterer; Complex constants; Conduction; Current distribution; Devices; Differential equations; Diffraction, scattering, reflection; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Equations; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical models; method of moments (MoM); Moment methods; Numerical analysis; Physics; Power transmission lines; Propagation; Radiocommunications; Radiowave propagation; Studies; Telecommunications; Telecommunications and information theory; the theory of Maxwellian circuits (MC); Electromagnetic wave scattering; Wave equation; Moment method; the theory of Maxwellian circuits (MC); method of moments (MoM); Numerical method; circular loop scatterer; Electromagnetic wave propagation; Wide band; Mathematical analysis; Current distribution; Circular loop antenna; Loop antenna; Circular antenna
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2011.2163771

Circular loops are useful fundamental devices, subjects of many investigations. Before the era of the method of moments (MoM), it was difficult to analyze a circular loop because it was hard to find the current distribution on the loop. The classical investigations on circular loops involve fairly complicated mathematical analyses. In this paper, based on the theory of Maxwellian circuits (MC), it is discovered that the current of a circular loop is the solution of a classical wave equation with complex constant parameters. Once the parameters are determined, the current may be solved analytically or by simple numerical methods. Very broad band computations of circular loops up to 40 GHz have been performed. It shows that the Maxwellian circuits formulations can indeed simplify the analyses of conducting circular loops and provide valuable insights to RF engineers.