Analysis of resonant responses of split ring resonators using conformal mapping techniques

McMeekin, S.G., Khokhar, A.Z., Basudev, L., De La Rue, R.M. and Johnson, N.P. (2007) Analysis of resonant responses of split ring resonators using conformal mapping techniques. Proceedings of the SPIE: The International Society for Optical Engineering, 6581, (doi: 10.1117/12.723108)

Abstract

We report a novel method for modeling the resonant frequency response of infra-red light, in the range of 2 to 10 microns, reflected from metallic spilt ring resonators (SRRs) fabricated on a silicon substrate. The calculated positions of the TM and TE peaks are determined from the plasma frequency associated with the filling fraction of the metal array and the equivalent LC circuit defined by the SRR elements. The capacitance of the equivalent circuit is calculated using conformal mapping techniques to determine the co-planar capacitance associated with both the individual and the neighbouring elements. The inductance of the equivalent circuit is based on the self-inductance of the individual elements and the mutual inductance of the neighboring elements. The results obtained from the method are in good agreement with experimental results and simulation results obtained from a commercial FDTD simulation software package. The method allows the frequency response of a SRR to be readily calculated without complex computational methods and enables new designs to be optimised for a particular frequency response by tuning the LC circuit.

• Item Type: Articles
• Additional Information: Copyright 2007 Society of Photo-Optical Instrumentation Engineers.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: De La Rue, Professor Richard
• Authors: McMeekin, S.G., Khokhar, A.Z., Basudev, L., De La Rue, R.M., and Johnson, N.P.
• Subjects: Q Science > QC Physics; T Technology > TK Electrical engineering. Electronics Nuclear engineering
• College/School: College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
• Journal Name: Proceedings of the SPIE: The International Society for Optical Engineering
• Publisher: SPIE - The International Society for Optical Engineering
• ISSN: 0277-786X
• Copyright Holders: Copyright © 2007 SPIE
• First Published: First published in Proceedings of the SPIE 6581
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher