Anderson localization effects in the second harmonic generation at a weakly rough metal surface

Aktsipetrov, O. A.; Golovkina, V.; Kapusta, Ondrej; Leskova, T. A.; Новикова, Н. Н.

doi:10.1016/0375-9601(92)91072-y

Cited by 27 publications

(13 citation statements)

References 8 publications

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“…Variations in the µ 1 /µ 3 and µ 1 /µ 2 ratios cause some variations in the relative intensities of these two peaks and a weak omnidirectional diffuse second harmonic background, but the general shape of the angular distribution remains basically the same. Theoretical findings of [2] were successfully confirmed in the experiment [3], which indicates that the described effect is a general property of weakly disordered systems that support surface optical modes.…”

supporting

confidence: 55%

“…This peak is observed under the coherent illumination at any angle. This effect was initially predicted theoretically [2] and later observed in the experiment [3]. The enhanced second harmonic peak normal to the mean surface arises from the fact that a state of momentum k introduced into a weakly localized system will encounter a significant amount of backscattering into states of momentum centered about -k. When these surface k and -k modes of frequency ω interact through an optical nonlinearity to generate 2ω radiative modes, the 2ω light has nonzero wave vector components only perpendicular to the mean surface.…”

mentioning

confidence: 64%

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Optical second harmonic generation near a black hole horizon as possible source of experimental information on quantum gravitational effects

Smolyaninov

2002

Physics Letters A

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Optical second harmonic generation near a black hole horizon is suggested as a source of experimental information on quantum gravitational effects. While absent in the framework of general relativity, second harmonic generation appears in the toy models of sonic and electromagnetic black holes, where spatial dispersion at high frequencies for waves boosted towards the horizon is introduced. Localization effects in the light scattering from random fluctuations of matter fields and space-time metric near the black hole horizon produce a pronounced peak in the angular distribution of second harmonics of light in the direction normal to the horizon. Such second harmonic light has the best chances to escape the vicinity of the black hole. This phenomenon is similar to the well-known strong enhancement of diffuse second harmonic emission from a randomly rough metal surface in the direction normal to the surface. PACS no.: 78.68.+m; 42.65.Ky Wave propagation and localization phenomena in random media have been the topic of extensive studies during the last years [1]. One of the most striking examples of such phenomena is the strong and narrow peak of diffuse second harmonic light emission observed in the direction normal to a randomly rough metal surface (see Fig.1(a)). This peak is observed under the coherent illumination at any angle. This effect was initially predicted theoretically [2] and later observed in the experiment [3]. The enhanced second harmonic peak normal to the mean surface arises from the fact that a state of momentum k introduced into a weakly localized system will encounter a significant amount of backscattering into states of momentum centered about -k. When these surface k and -k modes of frequency ω interact through an optical nonlinearity to generate 2ω radiative modes, the 2ω light has nonzero wave vector components only perpendicular to the mean surface. The angular width of the normal peak can be as small as a few degrees, and its amplitude far exceeds the diffuse omnidirectional second harmonic background.Very recently it was realized [4] that many results obtained in the optics of random media may be applicable to the case of light propagation in stochastic space-time metrics. This is possible because of an analogy between the propagation of light in matter and in curved spacetime. It is well known that Maxwell equations in a general curved space-time background g ik (x, t) are equivalent to the phenomenological Maxwell equations in the presence of matter background with nontrivial electric and magnetic permeability tensors ǫ ij (x, t) and µ ij (x, t) [5]. In this analogy, the event horizon corresponds to a surface of singular electric and magnetic permeabilities. There are quite a few papers which consider solidstate toy models of electromagnetic [6] and sonic [7] black holes. In the absence of established quantum gravitation theory such toy models are helpful in understanding electromagnetic phenomena in curved space-time, such as Hawking radiation [8] and Unruh effect [9]. Introducin...

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supporting

confidence: 55%

mentioning

confidence: 64%

Optical second harmonic generation near a black hole horizon as possible source of experimental information on quantum gravitational effects

Smolyaninov

2002

Physics Letters A

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“…This peak is already present in the single-scattering approximation, and is therefore not a multiple-scattering effect. The explanation for the peaks in the direction normal to the mean metal-vacuumynonlinear crystal interface presented in Reference [127] corrects the one presented in References [107,112,114].…”

Section: Second Harmonic Generation In the Kretschmann Geometrymentioning

confidence: 56%

“…A well-defined peak in the direction normal to the mean surface was observed in 112,114 , while only a broad depolarized background, but no peak in the direction normal to the mean surface, was observed in 113 .…”

Section: ð7:11þmentioning

confidence: 88%

Light Scattering from Randomly Rough Surfaces

Maradudin

Mendez

2007

Science Progress

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A survey is given of a variety of effects that can arise in the scattering of electromagnetic waves from one-and two-dimensional randomly rough surfaces. The focus is primarily on multiple-scattering effects such as enhanced backscattering, enhanced transmission, satellite peaks, new features in speckle correlations and in second harmonic generation in reflection. Theoretical treatments of these phenomena are outlined, and experimental results illustrating them are presented.

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“…Coherent directional SESHG including enhanced normal and backscattering from randomly rough surfaces has recently been investigated in connection with the weak localization of light. 3,4 In the case of SESHG from gratings, we recently examined 5 the effect of coherence and spatial harmonic composition on SPP-enhanced secondharmonic diffraction from corrugated silver surfaces using the theory of Farias and Maradudin. 6 In the weak corrugation regime where SPP coupling efficiency optimizes, it was shown that scattering of the coherently generated, SPPenhanced, evanescent second-harmonic wave by spatial harmonics in the surface roughness largely determines the enhancing properties of a particular surface.…”

Section: Introductionmentioning

confidence: 99%

Surface-enhanced second-harmonic diffraction: Experimental investigation of selective enhancement

1996

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Recent theoretical predictions demonstrating large enhancements of second-harmonic diffraction through the control of surface harmonic composition when the surface-plasmon polariton ͑SPP͒ is excited on a corrugated silver surface have been investigated experimentally for the specular order. Interpretation of the mechanism of enhancement in terms of a three-step selective scattering process involving only two spatial harmonics has been found to be justified. Fourier blaze holography, which permits the phase-and amplitude-controlled superposition of multiple harmonics in photoresist, has been used to fabricate the nanostructured, biperiodic gratings. Surfaces have been characterized by atomic force microscopy and Heitmann's method. As predicted, surfaces with optimized spatial frequency composition equal or exceed randomly rough surfaces in the enhancement of second-harmonic reflection relative to a flat silver surface. Enhancement produced by simultaneous excitation of counterpropagating SPP modes at the pump and second-harmonic frequencies has also been detected by varying grating wave vector to tune through a double resonance condition. Factors affecting the quantitative agreement between enhancement measurements and theoretical predictions are briefly discussed.

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Anderson localization effects in the second harmonic generation at a weakly rough metal surface

Cited by 27 publications

References 8 publications

Optical second harmonic generation near a black hole horizon as possible source of experimental information on quantum gravitational effects

Optical second harmonic generation near a black hole horizon as possible source of experimental information on quantum gravitational effects

Light Scattering from Randomly Rough Surfaces

Surface-enhanced second-harmonic diffraction: Experimental investigation of selective enhancement

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