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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 23 — Nov. 13, 2006
  • pp: 11330–11338

Dispersive contour-path finite-difference time-domain algorithm for modeling surface plasmon polaritons at flat interfaces

Ahmad Mohammadi and Mario Agio  »View Author Affiliations


Optics Express, Vol. 14, Issue 23, pp. 11330-11338 (2006)
http://dx.doi.org/10.1364/OE.14.011330


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Abstract

We investigate the accuracy of the two-dimensional Finite-Difference Time-Domain (FDTD) method in modelling Surface Plasmon Polaritons (SPPs) in the case of a single metal-dielectric interface and of a thin metal film showing that FDTD has difficulties in the low-group-velocity region of the SPP. We combine a contour-path approach with Z transform to handle both the electromagnetic boundary conditions at the interface and the negative dispersive dielectric function of the metal. The relative error is thus significantly reduced.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.0130) Integrated optics : Integrated optics
(240.6680) Optics at surfaces : Surface plasmons

ToC Category:
Optics at Surfaces

History
Original Manuscript: September 5, 2006
Revised Manuscript: October 25, 2006
Manuscript Accepted: October 25, 2006
Published: November 13, 2006

Citation
Ahmad Mohammadi and Mario Agio, "Dispersive contour-path finite-difference time-domain algorithm for modeling surface plasmon polaritons at flat interfaces," Opt. Express 14, 11330-11338 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-23-11330


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References

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  16. In the error calculation we choose wavevectors k ≥ 1.5ks (Fig. 3 and Fig. 4) and k ≥ 2.5ks (Fig. 6) to focus on the low-group-velocity region.
  17. The fit is performed using the logarithm of the error, so that the exponent 〈 is obtained from log y = 〈 log x+loga. The errors for ⊗ = 2 −4nm are excluded from the fit since the Fourier error is of the same order of magnitude and thus it may have an effect on the actual FDTD accuracy.
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