Phys. Rev. B 74, 035419 (2006) [7 pages]Eigenmodes of metallic ring systems: A rigorous approachReceived 27 February 2006; revised 3 June 2006; published 17 July 2006 To study the eigenmodes of a metallic system in ring geometry, we develop an approach which rigorously considers all inductive/capacitive effects within the quasistatic approximation. Application to a single-ring split ring resonator (SRR) reveals that the odd-numbered modes exhibit both magnetic and electric responses while the even ones only exhibit electric responses, and the SRR shows a bianisotropy for the odd-numbered resonances. Symmetry restriction allows a plane wave to excite only certain resonance modes of a SRR. Simulations on realistic structures verify all theoretical predictions. Calculations for a double-ring case suggest “optic (acoustic) modes” of asymmetric bianisotropy that are much more electric (magnetic) in character. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.74.035419
DOI:
10.1103/PhysRevB.74.035419
PACS:
78.20.Bh, 41.20.Jb, 42.60.Da, 78.67.−n
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