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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 25 — Dec. 16, 2013
  • pp: 31105–31118

Interacting plasmonic nanostructures beyond the quasi-static limit: a “circuit” model

Xuezhi Zheng, Niels Verellen, Vladimir Volskiy, Ventsislav K. Valev, Jeremy J. Baumberg, Guy A. E. Vandenbosch, and Victor V. Moshchalkov  »View Author Affiliations


Optics Express, Vol. 21, Issue 25, pp. 31105-31118 (2013)
http://dx.doi.org/10.1364/OE.21.031105


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Abstract

The interaction between individual plasmonic nanoparticles plays a crucial role in tuning and shaping the surface plasmon resonances of a composite structure. Here, we demonstrate that the detailed character of the coupling between plasmonic structures can be captured by a modified “circuit” model. This approach is generally applicable and, as an example here, is applied to a dolmen-like nanostructure consisting of a vertically placed gold monomer slab and two horizontally placed dimer slabs. By utilizing the full-wave eigenmode expansion method (EEM), we extract the eigenmodes and eigenvalues for these constituting elements and reduce their electromagnetic interaction to the structures’ mode interactions. Using the reaction concept, we further summarize the mode interactions within a “coupling” matrix. When the driving voltage source imposed by the incident light is identified, an equivalent circuit model can be constructed. Within this model, hybridization of the plasmonic modes in the constituting nanostructure elements is discussed. The proposed circuit model allows the reuse of powerful circuit analysis techniques in the context of plasmonic structures. As an example, we derive an equivalent of Thévenin’s theorem in circuit theory for nanostructures. Applying the equivalent Thévenin’s theorem, the well-known Fano resonance is easily explained.

© 2013 Optical Society of America

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(250.5403) Optoelectronics : Plasmonics
(310.6628) Thin films : Subwavelength structures, nanostructures
(310.6805) Thin films : Theory and design

ToC Category:
Plasmonics

History
Original Manuscript: October 17, 2013
Revised Manuscript: November 27, 2013
Manuscript Accepted: November 27, 2013
Published: December 10, 2013

Virtual Issues
Vol. 9, Iss. 2 Virtual Journal for Biomedical Optics

Citation
Xuezhi Zheng, Niels Verellen, Vladimir Volskiy, Ventsislav K. Valev, Jeremy J. Baumberg, Guy A. E. Vandenbosch, and Victor V. Moshchalkov, "Interacting plasmonic nanostructures beyond the quasi-static limit: a “circuit” model," Opt. Express 21, 31105-31118 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-25-31105


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