二维随机粗糙介质膜界面间互相关引起的Selényi环的选择性增强
Selective enhancement of Selényi rings induced by the cross-correlation between the interfaces of a two-dimensional randomly rough dielectric film
摘要：
利用约化Rayleigh方程的微扰解和非微扰解，详细研究了二维弱粗糙介质薄膜的光的散射。结果表明，对于几种粗糙的薄膜结构，在漫散射光中存在塞伦尼干涉环。对于由介电衬底支撑的薄膜系统，其中薄膜的两个界面中只有一个是弱粗糙的，另一个是平面的，在可以从简单的相位参数确定的角位置处观察到Selényi干涉环。对于这样的单粗糙界面的薄膜，我们发现，并解释了一个单一的散射模型，在干涉图案的对比度是更好的时，薄膜的顶部界面（面对入射光的界面）是粗糙的比当底部界面是粗糙的。当两个膜界面都是粗糙的时，存在塞伦尼干涉环，但是膜的两个粗糙界面的潜在互相关可以用于选择性地增强一些干涉环，而其他干涉环被衰减甚至可能消失。该特征原则上可用于确定膜的界面的相关性质，否则将难以获得这些相关性质。
英文摘要：
By the use of both perturbative and non-perturbative solutions of the reduced Rayleigh equation, we present a detailed study of the scattering of light from two-dimensional weakly rough dielectric films. It is shown that for several rough film configurations, Selényi interference rings exist in the diffusely scattered light. For film systems supported by dielectric substrates where only one of the two interfaces of the film is weakly rough and the other planar, Selényi interference rings are observed at angular positions that can be determined from simple phase arguments. For such single-rough-interface films, we find and explain by a single scattering model that the contrast in the interference patterns is better when the top interface of the film (the interface facing the incident light) is rough than when the bottom interface is rough. When both film interfaces are rough, Selényi interference rings exist but a potential cross-correlation of the two rough interfaces of the film can be used to selectively enhance some of the interference rings while others are attenuated and might even disappear. This feature may in principle be used in determining the correlation properties of interfaces of films that otherwise would be difficult to access.
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