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Scattering of light by a periodic structure in the presence of randomness. V. Detection of successive peaks in a periodic structure

机译:在存在随机性的情况下,光通过周期性结构散射。五,检测周期性结构中的连续峰

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We address the problem of detecting periodic structures hidden behind roughness. We have shown that if r_(0) is the coherence length of the scattered radiation, due to the random part of the surface, and LAMBDA is the wavelength of the periodic part of the surface, then with a matched filtering method that we introduce, and by using simple computations with the intensity data, it is possible to detect the hidden first-order peak even when (r_(0)/LAMBDA) approx 0.11. Here we advance the method to bring out very weak second-order peaks, which we demonstrate for what we believe is the first time. The unmistakable presence of both the first- and second-order peaks, which have identical shapes as the zeroth-order peak, is strong evidence of the hidden periodicity and serves as a novel method for the detection of weak periodicities hidden behind strong randomness.
机译:我们解决了检测隐藏在粗糙度后面的周期性结构的问题。我们已经证明,如果r_(0)是散射辐射的相干长度(由于表面的随机部分而导致),而LAMBDA是表面的周期性部分的波长,那么我们采用匹配的滤波方法,通过对强度数据进行简单计算,即使(r_(0)/ LAMBDA)约为0.11,也可以检测出隐藏的一阶峰。在这里,我们改进了产生非常弱的二阶峰的方法,我们首次证明了这一点。具有与零阶峰相同形状的一阶和二阶峰的明显存在是隐藏周期的有力证据,并且是检测隐藏在强随机性后面的弱周期的一种新颖方法。

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