Abstract

In this paper we investigate the optical response of periodically structured metallic films constituted of sub-wavelength apertures. Our approach consists in studying the diffraction of transverse magnetic polarized electromagnetic waves by a one-dimensional grating. The method that we use is the Rigorous Coupled Waves Analysis allowing us to obtain an analytical model to calculate the diffraction efficiencies. The zero and first order terms allow determining the transmission, reflectivity and absorption of symmetric or asymmetric nanostructures surrounded either by identical or different dielectric media. For both type of nanostructures the spectral shape of the enhanced resonant transmission associated to surface plasmons displays a Fano profile. In the case of symmetric nanostructures, we study the conditions of formation of coupled surface plasmon-polaritons as well as their effect on the optical response of the modulated structure. For asymmetric nanostructures, we discuss the non-reciprocity of the reflectivity and we investigate the spectral dependency of the enhanced resonant transmission on the refractive index of the dielectric surrounding the metal film.

© 2005 Optical Society of America

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Appl. Phys. Lett (2)

A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, �??Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate,�?? Appl. Phys. Lett 84, 4661-4663 (2002).
[CrossRef]

M. M. J. Treacy, �??Dynamical diffraction in metallic optical gratings,�?? Appl. Phys. Lett 75, 606-608 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

P. T. Worthing and W. L. Barnes, �??Efficient coupling of surface plasmon polaritons to radiation using a bi-grating,�?? Appl. Phys. Lett. 79, 3035-3037 (2001).
[CrossRef]

J. Opt. A: Pure Appl. Opt (1)

A. Degiron and T. W. Ebbesen, "The role of localized surface plasmon modes in the enhanced transmission of periodic subwavelength apertures," J. Opt. A: Pure Appl. Opt 7, S90-S95 (2005).
[CrossRef]

J. Opt. Soc. Am. A (3)

Nature (London) (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolf, �??Extraordinary optical transmission through sub-wavelength hole arrays,�?? Nature (London) 391, 667-669 (1998).
[CrossRef]

Opt. Commun (2)

C. Genet, M. P. van Exter, and J. P. Woerdman, �??Fano-type interpretation of red-shifts and red tails in hole array transmission spectra�??, Opt. Commun 225, 331-336 (2003).
[CrossRef]

A. Krishnan, T. Thio, T. J. Kim, H. J. Lezec, T. W. Ebbesen, P. A. Wolff, J. Pendry, L. Martin-Moreno, and Garcia-Vidal, �??Evanescently coupled resonance in surface plasmon enhanced transmission,�?? Opt. Commun 200, 1-7 (2001).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. B (10)

I. R. Hooper and J. R. Sambles, �??Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces,�?? Phys. Rev. B 70, 045421 (2004).
[CrossRef]

E. Popov, M. Nevière, S. Enoch, and R. Reinisch, �??Theory of light transmission through subwavelength periodic hole arrays,�?? Phys. Rev. B 62, 16100-16108 (2000).
[CrossRef]

D. Gérard, L. Salomon, F. de Fornel, and A. V. Zayats, �??Ridge-enhanced optical transmission through a continuous metal film,�?? Phys. Rev. B 69, 113405 (2004).
[CrossRef]

A. M. Dykhne, A. K. Sarychev, and V. M. Shalaev, �??Resonant transmittance through metal films with fabricated and light-induced modulation,�?? Phys. Rev. B 67, 195402 (2003).
[CrossRef]

S. A. Damanyan and A. V. Zayats, �??Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,�?? Phys. Rev. B 67, 035424 (2003); S. A. Damanyan, M. Nevière, and A. V. Zayats, �??Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes,�?? Phys. Rev. B 70, 075103 (2004).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, �??Surface plasmons enhance optical transmission through subwavelength holes,�?? Phys. Rev. B 58, 6779-6782 (1998).
[CrossRef]

J. Gomez Rivas, C. Schotsch, P. Haring Bolivar, and H. Kurz, �??Enhanced transmission of THz radiation through subwavelength hole,�?? Phys. Rev. B 68, 201306 (2003).
[CrossRef]

U. Schröter and D. Heitmann, �??Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration,�?? Phys. Rev. B 60, 4992-4999 (1999).
[CrossRef]

M. M. J. Treacy, �??Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings,�?? Phys. Rev. B 66, 195105 (2002).
[CrossRef]

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, "Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes," Phys. Rev. B 67, 085415 (2003).
[CrossRef]

Phys. Rev. Lett. (5)

Q. Cao and P. Lalanne, �??Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,�?? Phys. Rev. Lett. 88, 057403 (2002).
[CrossRef]

K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, "Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes," Phys. Rev. Lett. 92, 183901 (2004).
[CrossRef]

L. Martin-Moreno, F. J. Garcia-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).
[CrossRef]

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, �??Near-field distribution of optical transmission of periodic subwavelength holes in a metal film,�?? Phys. Rev. Lett. 86, 1110-1113 (2001).
[CrossRef]

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, �??Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,�?? Phys. Rev. Lett. 92, 107401 (2004).
[CrossRef]

Other (1)

D. W. Lynch and W. R. Hunter, in Handbook of optical constants of solids, E. D. Palik, ed. (Academic press, New York, 1991).

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