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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 18 — Aug. 31, 2009
  • pp: 16059–16072

A numerical investigation of sub-wavelength resonances in polygonal metamaterial cylinders

Samel Arslanagić and Olav Breinbjerg  »View Author Affiliations

Optics Express, Vol. 17, Issue 18, pp. 16059-16072 (2009)

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The sub-wavelength resonances, known to exist in metamaterial radiators and scatterers of circular cylindrical shape, are investigated with the aim of determining if these resonances also exist for polygonal cylinders and, if so, how they are affected by the shape of the polygon. To this end, a set of polygonal cylinders excited by a nearby electric line current is analyzed numerically and it is shown, through detailed analysis of the near-field distribution and radiation resistance, that these polygonal cylinders do indeed support sub-wavelength resonances similar to those of the circular cylinders. The dispersion and loss, inevitably present in realistic metamaterials, are modeled by the Drude and Lorentz dispersion models to study the bandwidth properties of the resonances.

© 2009 OSA

OCIS Codes
(290.5850) Scattering : Scattering, particles
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: July 6, 2009
Revised Manuscript: August 20, 2009
Manuscript Accepted: August 21, 2009
Published: August 26, 2009

Samel Arslanagić and Olav Breinbjerg, "A numerical investigation of sub-wavelength resonances in polygonal metamaterial cylinders," Opt. Express 17, 16059-16072 (2009)

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  17. It should be noted that the initial HFSS model utilized radiation boundaries instead of the perfectly matched layers. However, such a model resulted in inconsistent results, in particular with varying side length w, despite the fact that the distance from the perfectly matched layers to the polygonal cylinders and the ELC was larger than λ0/4 as suggested by HFSS, and despite improved discretization along the radiation boundaries. This problem was alleviated by use of perfectly matched layers for which the default discretization options were sufficient to obtain consistent and convergent results.
  18. It is important to note that the delta energy, ∆E, which is the difference in the relative energy error from one adaptive solution to the next, and serves as a stopping criterion for the solution, was set to 0.01 in all cases. This value of ∆E was targeted and obtained in 3 consecutive adaptive solutions for the 48-, 24-, 12-, and 8-sided PCs, and in 2 consecutive adaptive solutions for the 4-sided PCs.
  19. For the 4-sided PC, the MNG shell in the non-dispersive model is described by permeability μ2=−4μ0 and a loss tangent of 0.001 for all frequencies.

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