Approximate Relations of Admittance for Symmetrically Arranged Dipoles

• Published in: IEEE transactions on antennas and propagation Vol. 66; no. 2; pp. 984 - 989
• Main Authors: Iigusa, Kyoichi, Sawada, Hirokazu, Kojima, Fumihide
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-02-2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Admittance; Current; Dipole antennas; Dipoles; Electrical impedance; Manganese; Mathematical model; Ports (Computers); Scattering parameters; symmetry
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2017.2781218

We previously proposed an approximate relation between admittance <inline-formula> <tex-math notation="LaTeX">Y_{mn} </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">Y^\prime _{mn} </tex-math></inline-formula>, where <inline-formula> <tex-math notation="LaTeX">Y_{mn} </tex-math></inline-formula> is the admittance of a set of dipoles whose ports are located at their centers and <inline-formula> <tex-math notation="LaTeX">Y^\prime _{mn} </tex-math></inline-formula> is the admittance of the same set of dipoles with one is removed. Based on the relation, approximate expressions of <inline-formula> <tex-math notation="LaTeX">Y_{mn} </tex-math></inline-formula> were derived for the case that dipoles are symmetrically arranged. Their validity is examined by simulations and experiments in this communication.