Effect of correlation between shadowing and shadowed points on the Wagner and Smith monostatic one-dimensional shadowing functions

被引:30
作者
Bourlier, C
Saillard, J
Berginc, G
机构
[1] IRESTE, Lab SEI, CNRS, EP 2018, F-44306 Nantes 03, France
[2] Thomson CSF Optron, DS DFO, F-78283 Guyancourt, France
关键词
electromagnetic scattering by rough surfaces;
D O I
10.1109/8.841905
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The Wagner [1] and Smith [2], [3] classical monostatic one-dimensional (1-D) shadowing functions assume that the joint probability density of heights and slopes is uncorrelated, thus inducing an overestimation of the shadowing function. The goal of this article is to quantify this assumption. More recently, Ricciardi and Sate [4], [5] proved that the shadowing function is given rigorously by Rice's infinite series of integrals, We observe that the approach proposed by Wagner retains only the first term of this series, whereas the Smith formulation uses the Wagner model by introducing a normalization function. In this article, we first calculate the shadowing function based on the Ricciardi and Sate work for an uncorrelated process. We will sec that the uncorrelated results do not have any physical sense. Next, the Wagner and Smith formulations will be modified in order to introduce the correlation. Correlated and uncorrelated results are compared with the reference solution, which is determined by generating a surface [8] for a Gaussian autocorrelation function, So, we will show that the correlation improves the results for values mu less than or equal to 2 sigma, where mu represents the slope of incident ray and sigma the slopes variance of the surface. Finally, our results will be compared to those given in [9], determined from the first three terms of Rice's series, but the shadowing function used is not averaged over the slopes.
引用
收藏
页码:437 / 446
页数:10
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