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

Fano, U.

doi:10.1364/josa.31.000213

Cited by 812 publications

(415 citation statements)

References 7 publications

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“…A drop peak will then appear on the reflectivity curve, where we would otherwise have expected total internal reflection with 100% reflectivity. Kretschmann proposed a prismmetal-air configuration to observe SPR, 10 which we considered in our simulations. In such configuration, the electromagnetic field and the plasma oscillation were represented by the optical wave of an illuminating beam and the oscillation of the charge density of the metallic layer, respectively.…”

Section: Application Of the Generalized Rouard Methods To Demonstratinmentioning

confidence: 99%

Generalization of the Rouard method to an absorbing thin-film stack and application to surface plasmon resonance

Lecaruyer

Maillart²,

Canva³

et al. 2006

Appl. Opt.

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Section: Application Of the Generalized Rouard Methods To Demonstratinmentioning

confidence: 99%

Generalization of the Rouard method to an absorbing thin-film stack and application to surface plasmon resonance

Lecaruyer

Maillart²,

Canva³

et al. 2006

Appl. Opt.

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“…There have been many studies of geometries composed of a periodic array of slits [19][20][21][22][23][24] or grooves. 11,12,[25][26][27][28][29][30][31][32] There is also a substantial body of work concerning the enhanced transmission properties of arrays of holes [33][34][35][36][37][38][39][40][41][42] ͑also Ref. 43 and references therein͒.…”

Section: Introductionmentioning

confidence: 99%

Babinet’s principle and the band structure of surface waves on patterned metal arrays

Edmunds

Taylor

Hibbins

et al. 2010

Journal of Applied Physics

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The microwave response of an array of square metal patches and its complementary structure, an array of square holes, has been experimentally studied. The resonant phenomena, which yield either enhanced transmission or reflection, are attributed to the excitation of diffractively coupled surface waves. The band structure of these surface modes has been quantified for both p-͑transverse magnetic͒ and s-͑transverse electric͒ polarized radiation and is found to be dependent on the periodicity of the electric and magnetic fields on resonance. The results are in excellent accord with predictions from finite element method modeling and the electromagnetic form of Babinet's principle ͓Babinet, C. R. Acad. Sci. 4, 638 ͑1837͔͒.

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“…The physics behind is the coupling between photonic and different electronic resonances in such structures. They manifest themselves via pronounced resonant Wood's anomalies [9,10,11] in the optical spectra, due to the excitation of quasiguided [2,3,12,13,14,15] or surface plasmon [4,16,17,18] or both [19] modes. On the other hand, making complicated unit cells, e.g., characterized by a lack of 180 o -rotational symmetry in the PCS plane [17,20] adds new ways to control the interaction with light.…”

mentioning

confidence: 99%

Optical properties of photonic crystal slabs with an asymmetrical unit cell

2005

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Using the unitarity and reciprocity properties of the scattering matrix, we analyse the symmetry and resonant optical properties of the photonic crystal slabs (PCS) with complicated unit cell. We show that the reflectivity is not changed upon the 180 • -rotation of the sample around the normal axis, even in PCS with asymmetrical unit cell. Whereas the transmissivity becomes asymmetrical if the diffraction or absorption are present. The PCS reflectivity peaks to unity near the quasiguided mode resonance for normal light incidence in the absence of diffraction, depolarisation, and absorptive losses. For the oblique incidence the full reflectivity is reached only in symmetrical PCS.PACS numbers: 42.70. Qs, 42.25.Bs The physics of photonic crystal slabs (PCS) [1,2,3] receives much attention in recent years because of many interesting possibilities they open to control the light interaction with matter. The tendency is toward the PCS sophistication: nanostructured metals or semiconductors are included, and the unit cell geometry, using modern technology, becomes more complicated. As a result, new tools for photonic engineering become available. A well known example is the extraordinary optical transmission through sub-wavelength hole arrays in metal films [4,5]. Another promising example are polaritonic crystal slabs with nanostructured semiconductors [6,7,8]. The physics behind is the coupling between photonic and different electronic resonances in such structures. They manifest themselves via pronounced resonant Wood's anomalies [9,10,11] in the optical spectra, due to the excitation of quasiguided [2,3,12,13,14,15] or surface plasmon [4,16,17,18] or both [19] modes. On the other hand, making complicated unit cells, e.g., characterized by a lack of 180 o -rotational symmetry in the PCS plane [17,20] adds new ways to control the interaction with light.Thus, the understanding of the symmetry and resonance properties of the optical response in PCS with a complicated unit cell becomes important, also for their optical characterization. Measuring reflection from asymmetric structure appears to be not a promising method for the PCS optical characterization, and a question arises, which optical properties are more sensitive to the PCS structure? Meanwhile, notwithstanding a long history of the investigations (see, e.g., in [11,21]), starting actually from the optical gratings, which can be understood as one-dimensional (1D) PCS, their properties look sometime amazing and even contradictory.One example is the nontrivial symmetry properties of reflection and transmission from asymmetric PCS. Namely, it was demonstrated [17] experimentally and numerically that the reflectivity from 180 o -rotationally non-invariant (in the PCS plane) metal gratings on a dielectric substrate is always symmetric, whereas the transmission is not. However, the transmission appears to be independent on the side of the illumination, whether it is from the air or from the substrate (see also in Refs. 4, 5). The authors [17] find this astonishing...

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

Cited by 812 publications

References 7 publications

Generalization of the Rouard method to an absorbing thin-film stack and application to surface plasmon resonance

Generalization of the Rouard method to an absorbing thin-film stack and application to surface plasmon resonance

Babinet’s principle and the band structure of surface waves on patterned metal arrays

Optical properties of photonic crystal slabs with an asymmetrical unit cell

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