Analytical formulation for the resonant frequency of split rings

Sydoruk O, Tatartschuk E, Shamonina E, Solymar L (2009)

Publication Type: Journal article

Publication year: 2009

Journal

Journal of Applied Physics AIP Publishing

Book Volume: 105

Article Number: 014903

Journal Issue: 1

DOI: 10.1063/1.3056052

Abstract

A simple approximate expression is derived for the resonant frequency of a singly split single ring that is among the first microwave resonators designed to be small relative to the wavelength. In addition to the usual gap capacitance the concept of surface capacitance is introduced. The surface capacitance is determined analytically by two different methods, first using analytical expressions for the electric field of a split cylinder, and second by using conformal mapping. Taking two practical examples the resonant frequency, found analytically, is shown to agree with that obtained by numerical simulations. The model could be used for studies of the resonant properties of split rings in the terahertz region.

Authors with CRIS profile

Eugen Tatartschuk Professur für Experimentalphysik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Imperial College London / The Imperial College of Science, Technology and Medicine GB United Kingdom (GB)

How to cite

APA:

Sydoruk, O., Tatartschuk, E., Shamonina, E., & Solymar, L. (2009). Analytical formulation for the resonant frequency of split rings. Journal of Applied Physics, 105(1). https://dx.doi.org/10.1063/1.3056052

MLA:

Sydoruk, Oleksiy, et al. "Analytical formulation for the resonant frequency of split rings." Journal of Applied Physics 105.1 (2009).

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