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Applied Optics

Applied Optics


  • Vol. 43, Iss. 5 — Feb. 10, 2004
  • pp: 999–1008

Enhanced transmission due to nonplasmon resonances in one- and two-dimensional gratings

Evgeny Popov, Stefan Enoch, Gérard Tayeb, Michel Nevière, Boris Gralak, and Nicolas Bonod  »View Author Affiliations

Applied Optics, Vol. 43, Issue 5, pp. 999-1008 (2004)

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Enhanced transmission through subwavelength slit gratings and hole arrays is studied in view of its application in the far-infrared and microwave domains. Because for perfectly conducting gratings, plasmon resonances are not expected to produce an enhanced transmission, other kinds of resonance, such as Fabry-Perot, waveguide-mode, and cavity-mode resonances, are studied. The possibility of reaching 100% transmittivity for some particular wavelengths is established when two superimposed identical gratings are used while each of them transmits approximately 1% off resonance. A similar transmission is obtained with hole arrays. The study of the field map inside the groove region allows our establishing the nature of the resonance, that is involved. Comparison of the bandwidth with respect to the wavelength or incidence given by various kinds of resonance is presented.

© 2004 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2230) Diffraction and gratings : Fabry-Perot

Evgeny Popov, Stefan Enoch, Gérard Tayeb, Michel Nevière, Boris Gralak, and Nicolas Bonod, "Enhanced transmission due to nonplasmon resonances in one- and two-dimensional gratings," Appl. Opt. 43, 999-1008 (2004)

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  1. R. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philos. Mag. 4, 396–402 (1902).
  2. U. Fano, “The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfeld’s waves),” J. Opt. Soc. Am. 31, 213–222 (1941).
  3. H. Kogelnik, “Theory of dielectric waveguides,” in Integrated Optics, T. Tamir, ed. (Springer, Berlin, 1975), Chap. 2.
  4. L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
  5. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391, 667–669 (1998).
  6. S. Enoch, E. Popov, M. Neviére, and R. Reinisch, “Enhanced light transmission by hole arrays,” J. Opt. A Pure Appl. Opt. 4, S83–S87 (2002).
  7. N. Bonod, S. Enoch, L. Li, E. Popov, and M. Neviere, “Resonant optical transmission through thin metallic films with and without holes,” Opt. Express 11, 482–490 (2003), http://www.opticsexpress.org.
  8. K. Knop, “Reflection grating polarizer for the infrared,” Opt. Commun. 26, 281–283 (1978).
  9. Z. Bomzon, V. Kleiner, and E. Hasman, “Computer-generated space-variant polarization elements with subwavelength metal stripes,” Opt. Lett. 26, 33–35 (2001).
  10. N. Bokor, R. Shechter, N. Davidson, A. Frieseman, and E. Hasman, “Achromatic phase retarder by slanted illumination of a dielectric grating with period comparable with the wavelength,” App. Opt. 40, 2076–2080 (2001).
  11. A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, “The coupling of microwave radiation to surface plasmon polaritons and guided modes via dielectric gratings,” J. Appl. Phys. 87, 2677–2683 (1999).
  12. A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and D. M. Robinson, “Remarkable transmission of microwaves through a wall of long metallic bricks,” Appl. Phys. Lett. 79, 2844–2846 (2001).
  13. A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, “Grating-coupled surface plasmons at microwave frequency,” J. Appl. Phys. 86, 1791–1795 (1999).
  14. R. C. McPhedran, G. H. Derrick, and L. C. Botten, “Theory of crossed grating,” in Electromagnetic Theory of Gratings, Vol. 22 of Topics in Current Physics, R. Petit, ed. (Springer-Verlag, Berlin, 1980), p. 249.
  15. E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta 33, 607–619 (1986).
  16. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of metallic surface-relief gratings,” J. Opt. Soc. Am. A 3, 1780–1787 (1986).
  17. I. 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 (1981).
  18. R. Petit and G. Bouchitté, “Replacement of a very fine grating by a stratified layer, homogenization techniques, and multiple-scale method theory,” in Application and Theory of Periodic Structures, Diffraction Gratings, and Moiré Phenomena 431, J. Lerner, ed., Proc. SPIE 815, 25–31 (1988).
  19. S. Y. Lin, J. G. Flemming, D. L. Hetherington, B. K. Smith, R. Biswas, K. M. Ho, M. M. Sigalas, W. Zubrzycki, S. R. Kurtz, and J. Bur, “A three-dimensional photonic crystal operating at infrared wavelength,” Nature 394, 251–253 (1998).
  20. R. Petit, “A tutorial introduction,” in Electromagnetic Theory of Gratings, Vol. 22 of Topics in Current Physics, R. Petit, ed. (Springer-Verlag, Berlin, 1980), p. 12.
  21. B. Gralak, M. De Dood, G. Tayeb, S. Enoch, and D. Maystre, “Theoretical study of photonic bandgaps in woodpile crystals,” Phys. Rev. E 67, 066601 (2003).
  22. L. Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997).
  23. E. Popov and M. Nevière, “Maxwell equations in Fourier space: fast converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media,” J. Opt. Soc. Am. A 18, 2886–2894 (2001).
  24. M. Nevière and E. Popov, Light Propagation in Periodic Media: Differential Theory and Design (Marcel Dekker, New York, 2003).
  25. L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996).

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