Scattering from Rough Surfaces

The semiclassical representation (1.4.20) allows one to study scattering from rough surfaces as well. For the sake of simplicity let us limit ourselves with the model of local heights and neglect surfrtce vibrations. Within this model the interaction potential may be presented as Vg r) = Vb(z — h R)) with function h R) describing the surface relief. The classic action (1.2.7) may be then approximated as... 

The presented approacli beised on the semiclassical representation of Van Hove type allows one to study inelastic scattering from rough surfaces, as well as the effects of co-existing different scales roughness and superlattices. 

P. Beckmaim and A. Spizziehino, The Scattering of Electromagnetic Waves from Rough Surfaces , Pergamon, London (1963). 

Tian Z.Q., Ren B., Wu D.Y., Surface-enhanced Raman scattering From noble to transition metals and from rough surfaces to ordered nanostructures, J. Phys. Chem. B 2002 106 9463-9483. 

Beckmann P and Spizzichino A, "The Scattering of Electromagnetic Waves from Rough Surfaces", Pergamon, Oxford, 1963. 

Greynolds, A. W. Relative micro-roughness scattering from the surfaces of a transmitting optical element. No. 1016. SPIE. 

Surface plasmon resonance (SPR) spectroscopy has been shown to be a technique of high sensitivity for characterizing ultrathin films at the nanometer thickness scale [5]. Recently, the combination of the SPR with electrochemical techniques for the simultaneous characterization and manipulation at an electrode/electrolyte interfaces has been investigated [6, 7]. In addition, roughness of the metal surfaces could be evaluated by light scattering from metal surfaces, which is enhanced by SPR [8]. 

The fu-st part of ISO 17497 specifies a method of measuring the random incidence scattering coefficient of surfaces caused by surface roughness (ISO, 17497-1, 2004). The measurements are made in a reverberation room, either in full scale or on a scale model. The measurement results can be used to desalbe how much the sound reflection from a surface deviates from a specular reflection. The results obtained can be used for comparison purposes and for design calculations with respect to room acoustics and noise control. The method is not intended for characterizing the spatial uniformity of the scattering from a surface. 

---