Comptes Rendus
Prix Ampère 2011 de lʼAcadémie des sciences
Diffraction gratings: An amazing phenomenon
[Réseaux de diffraction : Un curieux phénomène]
Comptes Rendus. Physique, Volume 14 (2013) no. 4, pp. 381-392.

Le papier décrit et explique le phénomène dʼanomalie de Wood le plus surprenant : lʼabsorption totale dʼune onde plane par un réseau métallique peu profond.

Après avoir fourni la démonstration numérique et expérimentale de lʼabsorption totale, nous développons une théorie phénoménologique quantitative. Prenant comme cause de lʼanomalie lʼexcitation de plasmons polaritons de surface, nous utilisons certains théorèmes sur les fonctions analytiques de la variable complexe pour donner une expression précise des amplitudes des ondes diffractées, grâce à une formule phénoménologique.

La théorie des réseaux rigoureuse et originale utilisée pour les calculs numériques est résumée et quelques applications pratiques des fortes absorptions sont décrites.

The paper describes and explains the most surprising Woodʼs anomaly: the total absorption of a plane wave by a shallow metallic grating.

After a numerical and experimental evidence of the total absorption, we develop a quantitative phenomenological theory. Assuming that the anomalies are caused by the excitation of surface plasmon polaritons on the grating surface, we use theorems on analytic functions of the complex variable for representing the amplitudes of the scattered waves accurately through a phenomenological formula.

The original rigorous grating theory used for numerical computations is outlined and some practical applications of strong absorptions are presented.

Publié le :
DOI : 10.1016/j.crhy.2013.02.003
Keywords: Electromagnetic optics, Scattering, Diffraction gratings, Phenomenology, Light absorption, Perfect blazing
Mot clés : Optique électromagnétique, Diffraction, Réseaux de diffraction, Phénoménologie, Absorption de la lumiére, Blaze parfait
Daniel Maystre 1

1 Institut Fresnel, avenue Escadrille-Normandie-Niemen, campus universitaire de Saint-Jérôme, 13397 Marseille cedex 20, France
@article{CRPHYS_2013__14_4_381_0,
     author = {Daniel Maystre},
     title = {Diffraction gratings: {An} amazing phenomenon},
     journal = {Comptes Rendus. Physique},
     pages = {381--392},
     publisher = {Elsevier},
     volume = {14},
     number = {4},
     year = {2013},
     doi = {10.1016/j.crhy.2013.02.003},
     language = {en},
}
TY  - JOUR
AU  - Daniel Maystre
TI  - Diffraction gratings: An amazing phenomenon
JO  - Comptes Rendus. Physique
PY  - 2013
SP  - 381
EP  - 392
VL  - 14
IS  - 4
PB  - Elsevier
DO  - 10.1016/j.crhy.2013.02.003
LA  - en
ID  - CRPHYS_2013__14_4_381_0
ER  - 
%0 Journal Article
%A Daniel Maystre
%T Diffraction gratings: An amazing phenomenon
%J Comptes Rendus. Physique
%D 2013
%P 381-392
%V 14
%N 4
%I Elsevier
%R 10.1016/j.crhy.2013.02.003
%G en
%F CRPHYS_2013__14_4_381_0
Daniel Maystre. Diffraction gratings: An amazing phenomenon. Comptes Rendus. Physique, Volume 14 (2013) no. 4, pp. 381-392. doi : 10.1016/j.crhy.2013.02.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.02.003/

[1] R.W. Wood On a remarkable case of uneven distribution of light in a diffraction grating spectrum, Proc. Philos. Mag., Volume 4 (1902), pp. 396-402

[2] T.W. Ebbesen; H.J. Lezec; H.F. Ghaemi; T. Thio; P.A. Wolff Extraordinary optical transmission through subwavelength hole arrays, Nature, Volume 391 (1998), pp. 667-669

[3] J.B. Pendry Negative refraction makes a perfect lens, Phys. Rev. Lett., Volume 85 (2000), pp. 3966-3969

[4] D. Maystre; S. Enoch Perfect lenses made with left-handed materials: Aliceʼs mirror?, J. Opt. Soc. Amer. A, Volume 21 (2004), pp. 122-131

[5] T.V. Teperik; F.J. Garcia de Abajo; A.G. Borisov; M. Abdelsalam; P.N. Bartlett; Y. Sugawara; J.J. Baumberg Omnidirectional absorption in nanostructured metal surface, Nat. Photon., Volume 2 (2008), pp. 299-301

[6] D. Maystre; R. Petit Brewster incidence for metallic gratings, Opt. Commun., Volume 17 (1976), pp. 196-200

[7] M.C. Hutley; D. Maystre The total absorption of light by a diffraction grating, Opt. Commun., Volume 19 (1976), pp. 431-436

[8] D. Maystre General study of grating anomalies from electromagnetic surface modes (A.D. Boardman, ed.), Electromagnetic Surface Modes, John Wiley and Sons Ltd., 1982 (Ch. 17)

[9] D. Maystre Rigorous vector theories of diffraction gratings (E. Wolf, ed.), Progress in Optics I, North-Holland, 1984

[10] Electromagnetic Theory of Gratings (R. Petit, ed.), Springer-Verlag, 1980

[11] Lord Rayleigh On the dynamical theory of gratings, Proc. Roy. Soc. A, Volume 79 (1907), pp. 399-416

[12] U. Fano The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfeldʼs waves), J. Opt. Soc. Amer., Volume 31 (1941), pp. 213-222

[13] A. Neureuther; K. Zaki Numerical methods for the analysis of scattering from non-planar periodic structures, Alta Freq., Volume 38 (1969), pp. 282-285

[14] D. Maystre Sur la diffraction dʼune onde plane par un réseau métallique de conductivité finie, Opt. Commun., Volume 6 (1972), pp. 50-54

[15] D. Maystre A new general integral theory for dielectric coated gratings, J. Opt. Soc. Amer., Volume 68 (1978), pp. 490-495

[16] R.E. Kleinman; P.A. Martin On single integral equations for the transmission problem of acoustics, SIAM J. Appl. Math., Volume 48 (1988), pp. 307-325

[17] E. Marx Single integral equation for wave scattering, J. Math. Phys., Volume 23 (1982), pp. 1057-1065

[18] H. Raether Surface Plasmons on Smooth and Rough Surfaces and on Gratings, Springer Tracts in Modern Physics, vol. 111, Springer-Verlag, 1988

[19] E.C. Titchmarsh The Theory of Functions, Oxford University Press, 1939

[20] Lord Rayleigh Note on the remarkable case of diffraction spectra described by Prof. Wood, Philos. Mag., Volume 14 (1907), pp. 60-65

[21] E.G. Loewen; M. Nevière Dielectric coated gratings – curious property, Appl. Opt., Volume 16 (1977), pp. 3009-3011

[22] A.-L. Fehrembach; D. Maystre; A. Sentenac Phenomenological theory of filtering by resonant dielectric gratings, J. Opt. Soc. Amer. A, Volume 19 (2002), pp. 1136-1144

[23] M. Nevière, D. Maystre, G.H. Derrick, R.C. McPhedran, M.C. Hutley, On the total absorption of unpolarized monochromatic light, in: Proceedings of I.C.O. XI Conference, Madrid, Spain, 1978, pp. 609–612.

[24] N. Bonod; G. Tayeb; D. Maystre; S. Enoch; E. Popov Total absorption of light by lamellar metallic gratings, Opt. Express, Volume 16 (2008), pp. 15431-15438

[25] M.C. Hutley Diffraction Gratings, Academic Press, 1982

[26] G.H. Derrick; R.C. McPhedran; D. Maystre; M. Nevière Crossed gratings: A theory and its applications, Appl. Phys., Volume 18 (1979), pp. 39-52

[27] E. Hutter; J. Fendler Exploitation of localized surface plasmon resonance, Adv. Mater., Volume 16 (2004) no. 19, pp. 1685-1706

[28] E. Popov; N. Bonod; S. Enoch Comparison of plasmon surface waves on shallow and deep metallic 1D and 2D gratings, Opt. Express, Volume 15 (2007), pp. 4224-4237

[29] M. Nevière; R. Reinisch Electromagnetic study of the surface-plasmon-resonance contribution to surface-enhanced Raman scattering, Phys. Rev. B, Volume 26 (1982), pp. 5403-5408

[30] R. Reinisch; M. Nevière Electromagnetic theory of diffraction in nonlinear optics and surface enhanced nonlinear optical effects, Phys. Rev., Volume 28 (1983), pp. 1870-1885

[31] E.L. Wood; J.R. Sambles; N.P. Cotter; S.C. Kitson Diffraction grating characterization using multiple-wavelength excitation of surface-plasmon polaritons, J. Mod. Opt., Volume 42 (1995), pp. 1343-1349

[32] F. Pincemin; J.-J. Greffet Propagation and localization of a surface plasmon polariton on a finite grating, J. Opt. Soc. Amer. B, Volume 13 (1996), pp. 1499-1509

[33] W.L. Barnes; S.C. Kitson; T.W. Preist; J.R. Sambles Photonic surfaces for surface-plasmon polaritons, J. Opt. Soc. Amer. A, Volume 14 (1997), pp. 1654-1661

[34] E.A. Smith; R.M. Corn Surface plasmon resonance imaging as a tool to monitor biomolecular interactions in an array based format, Appl. Spectr., Volume 57 (2003), p. 320A-332A

[35] D.C. Cullen; C.R. Lowe A direct surface plasmon-polariton immunosensor: preliminary investigation of the non-specific adsorption of serum components to the sensor surface, Sens. Actuators B, Volume 1 (1990), pp. 576-579

[36] D. Maystre; M. Saillard Localization of light by randomly rough surfaces: Concept of localiton, J. Opt. Soc. Amer. A, Volume 11 (1994), pp. 680-690

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Surface plasmon THz waves on gratings

Maxim Nazarov; Frédéric Garet; Damien Armand; ...

C. R. Phys (2008)


Revisiting thermal radiation in the near field

Jean-Jacques Greffet

C. R. Phys (2017)


Transformation optics for plasmonics: from metasurfaces to excitonic strong coupling

Paloma A. Huidobro; Antonio I. Fernández-Domínguez

C. R. Phys (2020)