OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 51, Iss. 11 — Apr. 10, 2012
  • pp: 1729–1741

Properties of TM resonances on metallic slit gratings

Hans Lochbihler and Ricardo A. Depine  »View Author Affiliations

Applied Optics, Vol. 51, Issue 11, pp. 1729-1741 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (1615 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Electromagnetic resonances on metallic slit gratings induced by TM polarized incident light have been investigated and physically interpreted. We have developed an electromagnetic model imposing surface impedance boundary conditions on the metallic grating surface from which we derive simple formulas explaining all physical properties of these resonances. It is demonstrated that Fabry–Perot (or cavity) resonances are generated by the zeroth slit mode yielding extraordinary transmission. For very narrow slits, the resonant H-field is squeezed to the slit walls and causes enhanced power losses. The excitation of surface plasmon polaritons (SPPs), however, is generated by two mode coupling. SPPs are linked to sharp absorption peaks and dips in transmittance. It is shown that these phenomena are primarily caused by the interaction of the electromagnetic fields with the finite conducting slit walls. These findings have been confirmed by measured transmittance data of gold gratings with periods of 0.5 μm, 1 μm, and 2 μm.

© 2012 Optical Society of America

OCIS Codes
(240.6690) Optics at surfaces : Surface waves
(050.5745) Diffraction and gratings : Resonance domain
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Diffraction and Gratings

Original Manuscript: October 27, 2011
Revised Manuscript: December 16, 2011
Manuscript Accepted: December 16, 2011
Published: April 5, 2012

Hans Lochbihler and Ricardo A. Depine, "Properties of TM resonances on metallic slit gratings," Appl. Opt. 51, 1729-1741 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. A. Volkov, B. P. Gorshunov, A. A. Irisov, G. V. Kozlov, and S. P. Lebedev, “Electrodynamic properties of plane wire grids,” Int. J. lnfrared Millim. Waves 3, 19–43 (1982). [CrossRef]
  2. J. Y. Suratteau and R. Petit, “Numerical study of perfectly conducting wire gratings in the resonance domain,” Int. J. lnfrared Millim. Waves 6, 831–865 (1985). [CrossRef]
  3. H. Lochbihler and P. Predehl, “Characterization of x-ray transmission gratings,” Appl. Opt. 31, 964–971 (1992). [CrossRef]
  4. H. Lochbihler and R. A. Depine, “Highly conducting wire gratings in the resonance region,” Appl. Opt. 32, 3459–3465 (1993). [CrossRef]
  5. H. Lochbihler and R. A. Depine, “Characterization of highly conducting wire gratings using an electro-magnetic theory of diffraction,” Opt. Commun. 100, 231–239(1993). [CrossRef]
  6. J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission resonances on metallic gratings with very narrow clits,” Phys. Rev. Lett. 83, 2845–2848 (1999). [CrossRef]
  7. S. Astilean, Ph. Lalanne, and M. Palamaru, “Light transmission through metallic channels much smaller than the wavelength,” Opt. Commun. 175, 265–273 (2000). [CrossRef]
  8. M. M. J. Treacy, “Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings,” Phys. Rev. B 66, 195105 (2002).
  9. http://www.nasa.gov/mission_pages/chandra/main/index.html .
  10. H. Lochbihler, “Surface polaritons on gold-wire gratings,” Phys. Rev. B 50, 4795–4801 (1994).
  11. H. Lochbihler, “Field enhancement on metallic wire gratings,” Opt. Commun. 111, 417–422 (1994). [CrossRef]
  12. H. Räther, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1988).
  13. H. Lochbihler, “Surface polaritons on metallic wire gratings studied via power losses,” Phys. Rev. B 53, 10289–10295 (1996).
  14. U. Schröter and D. Heitmann, “Surface-plasmon-enhanced transmission through metallic gratings,” Phys. Rev. B 58, 15419–15421 (1998).
  15. Ph. Lalanne, J.P. Hugonin, S. Astilean, M. Palamaru, and K. D. Mo¨ller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. Pure Appl. Opt. 2, 48–51 (2000). [CrossRef]
  16. Q. Cao and Ph. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88, 057403 (2002).
  17. A. Barbara, P. Quemerais, E. Bustarret, and T. Lopez-Rios, “Optical transmission through subwavelength metallic gratings,” Phys. Rev. B 66, 161403–161406 (2002).
  18. J. M. Steele, C. E. Moran, A. Lee, C. M. Aguirre, and N. J. Halas, “Metallodielectric gratings with subwavelength slots: optical properties,” Phys. Rev. B 68, 205103 (2003).
  19. S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, “Horizontal and vertical surface resonances in transmission metallic gratings,” J. Opt. Pure Appl. Opt. 4, S154–S160 (2002). [CrossRef]
  20. F. J. Garcia-Vidal and L. Martin-Moreno, “Transmission and focusing of light in one-dimensional periodically nanostructured metals,” Phys. Rev. B 66, 155412 (2002).
  21. K. G. Lee and Q.-Han Park, “Coupling of surface plasmon polaritons and light in metallic nanoslits,” Phys. Rev. Lett. 95, 103902 (2005).
  22. Y. Pang, C. Genet, and T. W. Ebbesen, “Optical transmission through subwavelength slit apertures in metallic films,” Opt. Commun. 280, 10–15 (2007). [CrossRef]
  23. E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100 (2000).
  24. D. C. Skigin and R. A. Depine, “Narrow gaps for transmission through metallic structured gratings with subwavelength slits,” Phys. Rev. E 74, 046606 (2006). [CrossRef]
  25. M. Guillaumee, L. A. Dunbar, and R. P. Stanley, “Description of the modes governing the optical transmission through metal gratings,” Opt. Express 19, 4740–4755 (2011). [CrossRef]
  26. R. Yang, R. Rodriguez-Berral, F. Medina, and Y. Hao, “Analytical model for the transmission of electromagnetic waves through arrays of slits in perfect conductors and lossy metal screens,” J. Appl. Phys. 109, 103107 (2011).
  27. Z.-B. Li, Y.-H. Yang, X. Kong, W. Zhou, and J. Tian, “Fabry Perot resonance in slit and grooves to enhance the transmission through a single subwavelength slit,” J. Opt. A 11, 105002 (2009).
  28. V. E. Babicheva and Y. E. Lozovik, “Role of propagating slit mode in enhanced transmission through slit arrays in a metallic films,” Opt. Quantum Electron. 41, 299–313(2009). [CrossRef]
  29. J. Weiner, “The physics of light transmission through subwavelength apertures and aperture arrays,” Rep. Prog. Phys. 72, 064401 (2009). [CrossRef]
  30. D. Wang, W. Liu, Q. Xiao, and J. Shi, “Embedded metal-wire nanograting and its application in an optical polarization beam splitter/combiner,” Appl. Opt. 47, 312–316 (2008). [CrossRef]
  31. V. Auzelyte, H. H. Solak, Y. Ekinci, R. MacKenzie, J. Vörös, S. Olliges, and R. Spolenak, “Large area arrays of metal nanowires,” Microelectron. Eng. 85, 1131–1134 (2008).
  32. R. A. Depine, “Perfectly conducting diffraction grating formalisms extended to good conductors via the surface impedance boundary condition,” Appl. Opt. 26, 2348–2354 (1987). [CrossRef]
  33. 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 (1981). [CrossRef]
  34. L. Li, “Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity,” J. Opt. Soc. Am. A 10, 2581–2591 (1993). [CrossRef]
  35. E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1985).
  36. H. Lochbihler, P. Predehl, and B. Tesche, “Reconstruction of the profile of gold wire gratings: A comparison of different methods,” Optik 98, 21–25 (1994).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited