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The analytical basis for the resonances and anti-resonances of loop antennas and meta-material ring resonators

McKinley, AF; White, TP; Maksymov, IS; Catchpole, KR; (2012) The analytical basis for the resonances and anti-resonances of loop antennas and meta-material ring resonators. Journal of Applied Physics , 112 (9) , Article 094911. 10.1063/1.4764104. Green open access

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Abstract

Interest in the electromagnetic properties of loop structures has surged with the recent appearance of split-ring resonator meta-materials (SRRs) and nano-antennas. Understanding the resonances, anti-resonances, and harmonics of these loops is key to understanding their response to a wide range of excitation wavelengths. We present the classical analytical solution for the input impedance of a loop structure with circumference on the order of the wavelength, and we show how to identify these resonances from the function. We transform the classical solution into a new RLC formulation and show that each natural mode of the loop can be represented as a series resonant circuit, such that the full response function can be resolved by placing all of these circuits in parallel. We show how this formulation applies to SRRs.

Type: Article
Title: The analytical basis for the resonances and anti-resonances of loop antennas and meta-material ring resonators
Open access status: An open access version is available from UCL Discovery
DOI: 10.1063/1.4764104
Publisher version: https://doi.org/10.1063/1.4764104
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1460952
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