Anomalous Diffraction Gratings

doi:10.1103/PHYSREV.48.928

Journal Article•DOI•

Anomalous Diffraction Gratings

R. W. Wood¹•Institutions (1)

15 Dec 1935-Physical Review (American Physical Society)-Vol. 48, Iss: 12, pp 928-936

About: This article is published in Physical Review.The article was published on 1935-12-15. It has received 410 citations till now. The article focuses on the topics: Holographic grating & Ultrasonic grating.

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Journal Article•DOI•

Fano resonances in nanoscale structures

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Andrey E. Miroshnichenko¹, Sergej Flach², Yuri S. Kivshar¹•Institutions (2)

Centre for Ultrahigh Bandwidth Devices for Optical Systems¹, Max Planck Society²

11 Aug 2010-Reviews of Modern Physics

TL;DR: In this paper, the authors introduce the concept of Fano resonances, which can be reduced to the interaction of a discrete (localized) state with a continuum of propagation modes, and explain their geometrical and/or dynamical origin.

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Abstract: Modern nanotechnology allows one to scale down various important devices (sensors, chips, fibers, etc.) and thus opens up new horizons for their applications. The efficiency of most of them is based on fundamental physical phenomena, such as transport of wave excitations and resonances. Short propagation distances make phase-coherent processes of waves important. Often the scattering of waves involves propagation along different paths and, as a consequence, results in interference phenomena, where constructive interference corresponds to resonant enhancement and destructive interference to resonant suppression of the transmission. Recently, a variety of experimental and theoretical work has revealed such patterns in different physical settings. The purpose of this review is to relate resonant scattering to Fano resonances, known from atomic physics. One of the main features of the Fano resonance is its asymmetric line profile. The asymmetry originates from a close coexistence of resonant transmission and resonant reflection and can be reduced to the interaction of a discrete (localized) state with a continuum of propagation modes. The basic concepts of Fano resonances are introduced, their geometrical and/or dynamical origin are explained, and theoretical and experimental studies of light propagation in photonic devices, charge transport through quantum dots, plasmon scattering in Josephson-junction networks, and matter-wave scattering in ultracold atom systems, among others are reviewed.

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2,520 citations

Cites background from "Anomalous Diffraction Gratings"

...These rapid variations of intensities of the various diffracted spectral orders in certain narrow frequency bands were termed anomalies, since the effects could not be explained by the conventional grating theory (Wood, 1935)....
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...Conclusions 33 Acknowledgments 33 References 33...
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Journal Article•DOI•

Colloquium: Light scattering by particle and hole arrays

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F. J. García de Abajo¹•Institutions (1)

Spanish National Research Council¹

10 Oct 2007-Reviews of Modern Physics

TL;DR: In this paper, the interaction of light with two-dimensional periodic arrays of particles and holes is analyzed and the role of plasmons in these types of structures through analytical considerations.

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Abstract: This Colloquium analyzes the interaction of light with two-dimensional periodic arrays of particles and holes. The enhanced optical transmission observed in the latter and the presence of surface modes in patterned metal surfaces is thoroughly discussed. A review of the most significant discoveries in this area is presented first. A simple tutorial model is then formulated to capture the essential physics involved in these phenomena, while allowing analytical derivations that provide deeper insight. Comparison with more elaborated calculations is offered as well. Finally, hole arrays in plasmon-supporting metals are compared to perforated perfect conductors, thus assessing the role of plasmons in these types of structures through analytical considerations. The developments that have been made in nanophotonics areas related to plasmons in nanostructures, extraordinary optical transmission in hole arrays, complete resonant absorption and emission of light, and invisibility in structured metals are illustrated in this Colloquium in a comprehensive, tutorial fashion.

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1,156 citations

Cites background or methods from "Anomalous Diffraction Gratings"

...The origin of these effects can be traced back to Wood’s anomalies in gratings (Wood, 1902, 1912, 1935) and to their interpretation in terms of the following two mechanisms (Fano, 1936, 1941): (i) accumulation of inphase scattering events when the wavelength equals the period (see explanation in…...
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...Although we have extracted conclusions for particles and holes from his works, Wood reported his anomalies for ruled gratings rather than 2D structures (Wood, 1902, 1935).6 In fact, like gratings, cylinder and slit arrays exhibit lattice-resonance phenomena....
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...imum in both the reflectivity of particle arrays and the transmission of hole arrays; (ii) a lattice resonance can be established at a wavelength to the red of that condition, leading to maxima in both the reflectivity of particle arrays and the transmission of hole arrays; (iii) these effects have the same origin as Wood’s anomalies (Wood, 1935) and they can be described in the language of Fano lineshapes (Fano, 1961); (iv) the noted lattice resonance persists for incident evanescent light, with the reflectivity’s becoming infinite in non-dissipative systems (e....
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...The beginning of the last century witnessed important developments in diffraction of light in gratings after Wood’s observation of anomalous reflection bands (Wood, 1902, 1912, 1935) and their subsequent interpretation (Fano, 1936, 1941; Lord Rayleigh, 1907)....
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...…maxima in both the reflectivity of particle arrays and the transmission of hole arrays; (iii) these effects have the same origin as Wood’s anomalies (Wood, 1935) and they can be described in the language of Fano lineshapes (Fano, 1961); (iv) the noted lattice resonance persists for incident…...
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Journal Article•DOI•

A New Theory of Wood’s Anomalies on Optical Gratings

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A. Hessel, A. A. Oliner

01 Oct 1965-Applied Optics

TL;DR: In this paper, a new theory of Wood's anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure, which provides both new insight and a method of calculation.

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Abstract: A new theory of Wood’s anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure. This approach provides both new insight and a method of calculation. It is shown that two distinct types of anomalies may exist: a Rayleigh wavelength type due to the emergence of a new spectal order at grazing angle, and a resonance type which is related to the guided complex waves supportable by the grating. A general theoretical treatment is presented which makes use of a surface reactance to take into account the standing waves in the grating grooves, and which derives the locations and detailed shapes of the anomalies. Rigorous results are obtained for a specific example; the amplitudes of all of the spectral orders are determined explicitly, and the Wood’s anomaly effects are demonstrated clearly in graphical form for a variety of cases.

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1,099 citations

Journal Article•DOI•

The Theory of Anomalous Diffraction Gratings and of Quasi-Stationary Waves on Metallic Surfaces (Sommerfeld’s Waves)

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Ugo Fano¹•Institutions (1)

Carnegie Institution for Science¹

01 Mar 1941-Journal of the Optical Society of America

TL;DR: The theory of anomalous diffraction gratings, which was developed some years ago, has been reexamined in order to visualize its physical meaning as mentioned in this paper, where each wave diffracted by a grating is identified through the component of its wave vector tangential to the grating.

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Abstract: The theory of Wood’s anomalous diffraction gratings, which was developed some years ago, has been reexamined in order to visualize its physical meaning. Each wave diffracted by a grating is identified through the component of its “wave vector” tangential to the grating. Surface waves similar to those found in total internal reflection are included (§2). The amplitudes of these waves can be calculated by successive approximations (§3). One feature of the anomalies is connected with the infinite dispersion of spectra at grazing emergence (§4). Emphasis is put on the existence of polarized quasi-stationary waves which represent an energy current rolling along the surface of a metal (§5). These waves can be strongly excited on the surface of metallic gratings under critical conditions depending also on the profile of the grooves; secondary interference phenomena arise then in the observed spectra (§6). The connection of the quasi-stationary surface waves with the wireless ground waves is discussed (§7). A general formulation is introduced to discuss the significance of the approximation used (Appendix).

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838 citations

Journal Article•DOI•

Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes.

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K.J. Klein Koerkamp¹, Stefan Enoch², Franciscus B. Segerink¹, N.F. van Hulst¹, Laurens Kuipers¹, Laurens Kuipers³ - Show less +2 more•Institutions (3)

MESA+ Institute for Nanotechnology¹, Centre national de la recherche scientifique², Fundamental Research on Matter Institute for Atomic and Molecular Physics³

04 May 2004-Physical Review Letters

TL;DR: It is shown that extraordinary light transmission of periodic subwavelength hole arrays, generally attributed to surface-plasmon resonances, is strongly influenced by the hole shape, and shape resonances of the rectangular holes play a dominant role.

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Abstract: We show that extraordinary light transmission of periodic subwavelength hole arrays, generally attributed to surface-plasmon resonances, is strongly influenced by the hole shape. Both experiments and calculations, based on a Fourier modal method, demonstrate that a shape change from circular to rectangular increases the normalized transmission by an order of magnitude while the hole area decreases. Moreover, the spectra exhibit large redshifts (~2500 cm-1). A comparison with the transmission of isolated holes shows that shape resonances of the rectangular holes play a dominant role.

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660 citations

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