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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 5 — Feb. 27, 2012
  • pp: 5481–5500

3-dimensional eigenmodal analysis of plasmonic nanostructures

Hua Guo, Benedikt Oswald, and Peter Arbenz  »View Author Affiliations


Optics Express, Vol. 20, Issue 5, pp. 5481-5500 (2012)
http://dx.doi.org/10.1364/OE.20.005481


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Abstract

We introduce a 3-dimensional electromagnetic eigenmodal algorithm for the theoretical analysis of resonating nano-optical structures. The method, a variant of the Jacobi–Davidson algorithm, solves the electric field vector wave, or curl-curl, equation for the electromagnetic eigenmodes of resonant optical structures with a finite element method. In particular, the method includes transparent boundary conditions that enable the analysis of resonating structures in unbounded space. We demonstrate the performance of the method. First, we calculate the modes of several dielectric resonator antennas and compare them to theoretically determined results. Second, we calculate the modes of a nano-cuboid and compare them to theoretically determined results. Third, we numerically analyze spherical nanoparticles and compare the result to the theoretical Mie solution. Fourth, we analyze optical dipole antenna configurations in order to assess the method’s capability for solving technologically relevant problems.

© 2012 OSA

OCIS Codes
(140.4780) Lasers and laser optics : Optical resonators
(240.6680) Optics at surfaces : Surface plasmons
(260.3910) Physical optics : Metal optics
(260.5740) Physical optics : Resonance
(220.4241) Optical design and fabrication : Nanostructure fabrication

ToC Category:
Optics at Surfaces

History
Original Manuscript: January 18, 2012
Revised Manuscript: February 10, 2012
Manuscript Accepted: February 10, 2012
Published: February 21, 2012

Virtual Issues
Vol. 7, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Hua Guo, Benedikt Oswald, and Peter Arbenz, "3-dimensional eigenmodal analysis of plasmonic nanostructures," Opt. Express 20, 5481-5500 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-5-5481


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