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

Optics Express

Volumn 14, Issue 23, 2006, Pages 11330-11338

  Mohammadi, Ahmad ^a,b,c   Agio, Mario ^a  

^a ETH ZURICH   (Switzerland)

^b SHIRAZ UNIVERSITY   (Iran)

^c PERSIAN GULF UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIELECTRIC DEVICES; FINITE DIFFERENCE METHOD; MAGNETOELECTRIC EFFECTS; METALLIC FILMS; TIME DOMAIN ANALYSIS; VELOCITY MEASUREMENT; Z TRANSFORMS;

DIELECTRIC FUNCTIONS; FINITE DIFFERENCE TIME DOMAIN (FDTD); SURFACE PLASMON POLARITONS (SPP);

SURFACE PLASMON RESONANCE;

EID: 33751169337     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.14.011330     Document Type: Article

References (18)

1. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988)
2. W.L. Barnes, A. Dereux, and T.W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
3. A. Taflove, and S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA, 2005).
4. D. Sullivan, Electromagnetic Simulation Using the FDTD Method (IEEE Press, 2000).
5. T.G. Jurgens, A. Taflove, K. Umaschankar, and T.G. Moore, "Finite-Difference Time-Domain Modeling of Curved Surfaces," IEEE Trans. Antennas Propag. 40, 357-365 (1992).
6. C. Oubre, and P. Nordlander, "Optical Properties of Metallodielectric Nanostructures Calculated Using the Finite Difference Time Domain Method," J. Phys. Chem. B 108, 17740-17747 (2004).
7. H. Shin, and S. Fan, "All-Angle Negative Refraction for Surface Plasmon Waves Using a Metal-Dielectric-Metal Structure," Phys. Rev. Lett. 96, 073907(4) (2006).
8. K.-P. Hwang, and A.C. Cangellaris, "Effective Permittivities for Second-Order Accurate FDTD Equations at Dielectric Interfaces," IEEE Microwave Wirel. Compon. Lett. 11, 158-160 (2001).
9. A. Mohammadi, and M. Agio, "Contour-path effective permittivities for the two-dimensional finite-difference time-domain method," Opt. Express 13, 10367-10381 (2005), htrp://www.opticsinfobase.org/abstract.cfm?URI=oe-13- 25-10367, and references therein.
10. M.K. Kärkkäinen, Subcell FDTD Modeling of Electrically Thin Dispersive Layers," IEEE Trans. Microwave Theory Tech. 51, 1774-1780 (2003).
11. D. Popovic, and M. Okoniewski, "Effective Permittivity at the Interface of Dispersive Dielectrics in FDTD," IEEE Microwave Wirel. Compon. Lett. 13, 265-267 (2003).
12. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, Cambridge, UK, 1999), 7th ed.
13. C.T. Chan, Q.L. Yu, and K.M. Ho, "Order-N spectral method for electromagnetic waves," Phys. Rev. B 51, 16635-16642 (1995).
14. O. Ramadan, and A.Y. Oztoprak, "Z-transform implementation of the perfectly matched layer for truncating FDTD domains," IEEE Microwave Wirel. Compon. Lett. 13, 402-404 (2003).
15. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1996), 7th ed.
16. s (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 a is obtained from logy = αlogx + log a. The errors for Δ = 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.
18. C. Hulse, and A. Knoesen, "Dispersive models for the finite-difference time-domain method: design, analysis, and implementation, " J. Opt. Soc. Am. A 11, 1802-1811 (1994).