Scattering from non-Gaussian randomly rough surfaces-cylindrical case

Quantitative roughness characterization of geological surfaces and implications for radar signature analysis

“…Therefore, a remaining question is, "Is the backscattering behavior of surfaces with non-Gaussian height statistics different?" This question is addressed, for instance, by Eom and Fung [41] and Wu et al [42]. They found that the effect of different height distributions on the noncoherent scattering characteristics is almost negligible in the case of smooth surfaces but increases at larger rms-heights.…”

An Application of Sensor Array Processing in Characterizing One Dimensional Surface Roughness

“…In this part, we explain the prototype of surface roughness [15,17,18,19,20] study using a group of arrays of antennas and single transmitter of wave towards the plate with normal incidence, before discussing the implementation of high resolution angle of arrival techniques [1,2], let us describe the type of surface's irregularities we are focused on.…”

“…The roughness of surface is considered as random fluctuations [15,19] of protuberances that compose the material type of the surface, thus the roughness is random, and it can be described by two dimensional [19,20] or one dimensional function [17,18], we focus here on the last category, the statistical description of the randomness states that the height of The plate is placed in ( , ) xyplane, the lines of roughness are parallel to…”

“…The best description of diffuse surfaces is the statistical distribution; the height of the irregularities is described as random variable sampled from well known distribution such as Gaussian one [15]. The study of such surfaces is performed using profilometric [16] and optical techniques [8,16,17], the global shapes of protuberances are analyzed with optical interferomety using reflected laser beams [17].…”

Study of Backscatter Signature for Seedbed Surface Evolution Under Rainfall --- Influence of Radar Precision

“…Therefore, we show that they can represented by a single-scale isotropic process. We recall that the scattering coefficient depends on the autocorrelation function but also on the height distribution [16]. In this paper, we assume that the seedbed surface under consideration can be modelled as a random process with a normally distributed height function.…”