Half-width of intensity profiles of light scattered from self-affine fractal random surfaces and simulational verifications

Abstract

Based on the fact that the half-width of the Fourier transform is inversely proportional to that of a symmetrical primary decay function, the half-width of the intensity profiles of light scattered from self-affine fractal random surfaces in the whole k( perpendicular ) region is studied. The primary function, whose Fourier transform is the intensity profile, is approximated with a simple mathematical decay function by equating their half-widths and maximums. The expression obtained for the half-width of the scattered intensity profiles reduces to the present results in the two extreme cases with the scattering roughness factors being either very small or very large. For a complete verification, we perform a simulation of the light scattering, in which self-affine fractal random surfaces are generated with an algorithm that is an analogy to the formation of laser speckles. The simulated and theoretical results conform well.

Expansion of a quantum wave packet in a one-dimensional disordered potential in the presence of a uniform bias force

“…numerically, we use standard techniques (see for instance Refs. [30][31][32]). We first generate a complex random field g(k).…”

Fresnel diffraction by a square aperture with rough edge

“…This method to produce the random distribution was used in our former work [20]. Set the statistical parameters, we can produce the random height distribution.…”

Speckle intensity correlation in the diffraction region near rough surfaces and simulational experiments for extraction of surface parameters

“…In the simulation, we generate the numerical height distribution h(x 0 ) of the self-affine surface samples with arbitrary values of parameters by using the speckle-autocorrelation-function-analogy algorithm, which has been proposed in ref. [18] with the generated surface samples demonstrated. Based on eq.…”