指数型高度相关粗糙面的波散射解析表达式
Analytical expression for wave scattering from exponential height correlated rough surfaces
摘要：
粗糙表面的波散射和逆散射是一种研究表面形貌的有效方法。已知粗糙表面的波散射的解析表达式，不仅有助于我们理解散射现象，而且可以作为衡量经验粗糙表面信息的标准。对于具有指数高度关联函数的粗糙表面，我们导出了扩散部分的解析表达式，并将其扩展到两个渐近区域。我们认为一个表面为轻微粗糙和其他非常粗糙的基尔霍夫理论的基础上的框架。最后，我们测量了各种Hurst指数和相关长度对自仿射表面散射强度的影响。我们已经表明，通过增加赫斯特指数从H=0到H=1，漫散射随散射角减小。
英文摘要：
Wave scattering from rough surfaces in addition the inverse scattering is an interesting approach to obtain the surface topography properties in various fields. Analytical expression in wave scattering from some known rough surfaces, not only help us to understand the scattering phenomena, but also would prove adequate to be a criterion to measure the information for empirical rough surfaces. For a rough surface with an exponential height correlation function, we derive an analytical expression for the diffused part and expanded it in two asymptotic regimes. We consider one surface as slightly rough and the other as very rough based on the framework of the Kirchhoff theory. In the end, we have measured the role of various Hurst exponents and correlation lengths on scattering intensity in self-affine surfaces. We have shown that by increasing the Hurst exponent from H=0 to H=1, the diffuse scattering decreases with the scattering angle.
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