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

“…[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.…”

“…[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.…”

Angular correlation functions of light scattered from weakly rough metal surfaces

“…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.…”

“…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.…”

“…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.…”