## Light scattering from self-affine fractal silver surfaces with nanoscale cutoff: far-field and near-field calculations

JOSA A, Vol. 19, Issue 5, pp. 902-911 (2002)

http://dx.doi.org/10.1364/JOSAA.19.000902

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### Abstract

We study the light scattered from randomly rough, one-dimensional, self-affine fractal silver surfaces with nanoscale lower cutoff illuminated by *s*- or *p*-polarized Gaussian beams a few micrometers wide. By means of rigorous numerical calculations based on the Green’s theorem integral equation formulation (GTIEF), we obtain both the far- and near-field scattered intensities. The influence of diminishing the size of the fractal lower-scale irregularities (from ~50 nm to a few nanometers) is analyzed in the case of both single realization and ensemble-average magnitudes. For *s* polarization, variations are small in the far field, being significant only in the higher-spatial-frequency components of evanescent character in the near field. In the case of *p* polarization, however, the nanoscale cutoff has remarkable effects stemming from the roughness-induced excitation of surface-plasmon polaritons. In the far field, the effect is noticed both in the speckle pattern variation and in the decrease of the total reflected energy upon ensemble averaging, as a result of increased absorption. In the near field, more efficient excitation of localized optical modes is achieved with smaller cutoff, which in turn leads to huge surface electric field enhancements.

© 2002 Optical Society of America

**OCIS Codes**

(180.5810) Microscopy : Scanning microscopy

(240.6680) Optics at surfaces : Surface plasmons

(290.4210) Scattering : Multiple scattering

(290.5880) Scattering : Scattering, rough surfaces

**Citation**

José A. Sánchez-Gil, José V. García-Ramos, and Eugenio R. Méndez, "Light scattering from self-affine fractal silver surfaces with nanoscale cutoff: far-field and near-field calculations," J. Opt. Soc. Am. A **19**, 902-911 (2002)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-5-902

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