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Malyshkin, Vladislav Gennadievich; McGurn, Arthur R.; Leskova, T. A.; Maradudin, A. A.; Nieto‐Vesperinas, M.

doi:10.1088/0959-7174/7/3/014

Cited by 6 publications

(46 citation statements)

References 27 publications

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“…[1][2][3][4][5][6][7][8][9][10] Several phenomena associated with phase-coherent and resonant scattering effects, arising from surface-plasmon polaritons at the vacuum-metal interface, have been predicted theoretically, 1-10 and some of these effects have been observed experimentally. 1,2 In this paper we will extend these investigations to treat phase-coherent and resonant scattering effects in the speckle patterns of electromagnetic waves scattered from a homogeneous dielectric film deposited on a planar perfectly conducting surface.…”

Section: Introductionmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9][10][14][15][16][17][18][19][20][21][22][23][24][25] These are shortrange correlations, denoted by C (1) and C (10) ; long-range correlations, denoted by C (1.5) and C (2) ; and infinite-range correlations, denoted by C (3) . The C (1) , C (2) , and C (3) correlators were originally studied in the speckle patterns of light scattered from bulk random media.…”

Section: Introductionmentioning

confidence: 99%

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Speckle correlations in the light scattered by a dielectric film with a rough surface: Guided wave effects

McGurn

Maradudin

1998

Phys. Rev. B

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Diagrammatic perturbation theory is used to compute the angular intensity correlation function C(q,k͉qЈ,kЈ)ϭ͓͗I(q͉k)Ϫ͗I(q͉k)͔͓͘I(qЈ͉kЈ)Ϫ͗I(qЈ͉kЈ)͔͘ for s-polarized light scattered from a dielectric film on a perfectly conducting substrate. The scattering system supports two or more guided waves. The illuminated surface of the film is a weakly rough, one-dimensional random surface, I(q͉k) is the squared modulus of the scattering matrix for the system, and q,qЈ and k,kЈ are the projections on the mean scattering surface of the wave vectors of the scattered and incident light, respectively. Contributions to C include ͑a͒ short-range memory effect and time-reversed memory effect terms associated with the resonant excitation of the guided waves in the film, C (1) ; ͑b͒ an additional short-range term of comparable magnitude C (10) ; ͑c͒ a long-range term C (2) ; ͑d͒ an infinite-range term C (3) ; and ͑e͒ a term C (1.5) that, along with C (2) , displays peaks associated with the excitation of guided waves. In contrast with the results obtained in the scattering of light from the random surface of a semi-infinite medium, interesting features arise in the speckle correlators in the present system due to the existence of the guided waves, such as various satellite peaks and a large multiplicity of resonant features. Both C (1) and C (2) exhibit additional peaks whose positions depend on the difference between the wave numbers of two guided waves ͑the most interesting case of peaks arising from guided waves͒, whereas C (1.5) exhibits additional peaks whose positions depend only on the wave numbers of the guided waves taken individually.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Speckle correlations in the light scattered by a dielectric film with a rough surface: Guided wave effects

McGurn

Maradudin

1998

Phys. Rev. B

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“…In the case of ͗A(q͉k)A*(qЈ͉kЈ)͘, it has been shown that the amplitude correlation function with beam illumination is nearly identical to that with a plane wave, as long as the beam has a diffraction width much narrower than the structure in ͗A(q͉k)A*(qЈ͉kЈ)͘; 21 an analogous conclusion has also been reached from direct studies of the intensity correlation function. 16 This condition seems satisfied in the experiments; with ϭ612 nm, for example, the full width at half maximum of the intensity of the incident beam is 0.28°, which is far less than the 2.4°width of C ⌬I ϩ in Fig. 7͑d͒.…”

Section: Discussionmentioning

confidence: 82%

“…Both of these correlations are of the short-range type, arising as delta functions in q and k. Indeed, the approach taken here has appar-ently excluded all long-range correlations; these have strengths proportional to the inverse of the illumination width 15,16 and should thus be absent in the limit taken here. Still, our assumption of plane-wave illumination differs from the Gaussian beam of the experiments, but the consequences of such differences should be small.…”

Section: Discussionmentioning

confidence: 89%

“…For weakly rough surfaces, this question has been addressed through theoretical study of the angular correlation functions of scattered amplitude, 14 where it was claimed that the same constructive interference producing backscattering enhancement also appears in these correlation functions. Other theoretical works have considered the correlation functions of intensity, [15][16][17] which were found to contain contributions arising from a wide variety of plasmon polariton-related scattering processes. Generally speaking, it was shown that these correlation functions contain much more detailed information about the dominant scattering processes than does the mean diffuse intensity.…”

Section: Introductionmentioning

confidence: 99%

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Angular correlation functions of light scattered from weakly rough metal surfaces

West

O’Donnell

1999

Phys. Rev. B

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The angular correlation functions of light diffusely scattered from weakly rough metal surfaces are studied. In experimental work, surfaces are well characterized, have highly one-dimensional roughness, and are studied in the case of p polarization. If there is significant plasmon polariton excitation, one type of intensity correlation function indicates that the diffuse intensity decorrelates rapidly as the angle of incidence is varied. It exhibits peaks that arise from an autocorrelation of identical intensities, or from the correlation of intensities related by the reciprocity principle. A second intensity correlation function expresses the symmetry of the diffuse intensity about the specular direction and is significant without plasmon polariton excitation. It is shown that the intensity correlation functions are directly related to two fundamental amplitude correlation functions. The latter are studied with perturbation theory, including all terms to fourth order in the surface profile function. The relation of the observed effects to backscattering enhancement is thus established, and favorable comparisons are made with the experimental results. ͓S0163-1829͑99͒05103-6͔

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Multiple-Scattering Effects in Angular Intensity Correlation Functions

Leskova

Maradudin

2007

Nanostructure Science and Technology

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Untitled

Cited by 6 publications

References 27 publications

Speckle correlations in the light scattered by a dielectric film with a rough surface: Guided wave effects

Speckle correlations in the light scattered by a dielectric film with a rough surface: Guided wave effects

Angular correlation functions of light scattered from weakly rough metal surfaces

Multiple-Scattering Effects in Angular Intensity Correlation Functions

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