Abstract
We show that the wide-spread concept of optical eigenmodes in lossless waveguide systems, which assumes the separation into propagating and evanescent modes, has to be revised in the case of metal-dielectric structures. In addition, there exists a sequence of new eigenstates with complex values of the propagation constant. Taking these anomalous modes into account we have developed an original approach for the modeling of optical properties of subwavelength metal gratings with nanosize slits. The obtained spectra of transmittance and reflectance demonstrate the application potential of such structures for efficient spectral filtration of optical signals.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary Optical Transmission through Sub-Wavelength Hole Arrays,” Nature (London) 391, 667–669 (1998).
A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated Media with Negative Permeability at Visible Frequencies,” Nature (London) 437, 335–338 (2005).
E. Plum, V. A. Fedotov, A. S. Schwanecke, N. I. Zheludev, and Y. Chen, “Giant Optical Gyrotropy Due to Electromagnetic Coupling,” Appl. Phys. Lett. 90, article 223 113 (3 pages) (2007).
P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B: Solid State 6, 4370–4379 (1972).
A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-Optics of Surface Plasmon Polaritons,” Phys. Rep. 408, 131–314 (2005).
L. Martín-Moreno, F. J. García-Vidal, H. J. Lezec, K.M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of Extraordinary Optical Transmission through Subwavelength Hole Arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
F. J. García-Vidal and L. Martín-Moreno, “Transmission and Focusing of Light in One-Dimensional Periodically Nanostructured Metals,” Phys. Rev. B: Condens. Matter 66, article 155 412 (10 pages) (2002).
F. J. G. de Abajo, “Colloquium: Light Scattering by Particle and Hole Arrays,” Rev. Mod. Phys. 79, 1267–1290 (2007).
B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of Extraordinary Light Transmission through Arrays of Subwavelength Slits,” Phys. Rev. B: Condens. Matter 77, article 075 106 (12 pages) (2008).
L. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, “The Finitely Conducting Lamellar Diffraction Grating,” Opt. Acta 28, 1087–1102 (1982).
D. M. Whittaker and I. S. Culshaw, “Scattering-Matrix Treatment of Patterned Multilayer Photonic Structures,” Phys. Rev. B: Condens. Matter 60, 2610–2618 (1999).
S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, and T. Ishihara, “Quasiguided Modes and Optical Properties of Photonic Crystal Slabs,” Phys. Rev. B: Condens. Matter 66, article 045 102 (17 pages) (2002).
B. Sturman, E. Podivilov, and M. Gorkunov, “Eigenmodes for Metal-Dielectric Light-Transmitting Nanostructures,” Phys. Rev. B: Condens. Matter 76, article 125 104 (11 pages) (2007).
B. Sturman, E. Podivilov, and M. Gorkunov, “Eigenmodes for the Problem of Extraordinary Light Transmission through Subwavelength Holes,” Europhys. Lett. 80, article 24 002 (5 pages) (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.V. Gorkunov, E.V. Podivilov, B.I. Sturman, 2010, published in Rossiiskie nanotekhnologii, 2010, Vol. 5, Nos. 3–4.
Rights and permissions
About this article
Cite this article
Gorkunov, M.V., Podivilov, E.V. & Sturman, B.I. Modeling of optical properties of nanosize metal-dielectric gratings within the eigenmode approach. Nanotechnol Russia 5, 259–265 (2010). https://doi.org/10.1134/S1995078010030146
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995078010030146