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首页> 外文期刊>Journal of the Optical Society of America, B. Optical Physics >Coherency saturation in periodic structures with randomization
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Coherency saturation in periodic structures with randomization

机译：具有随机性的周期性结构中的相干饱和

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We study the effect of coherency saturation in spatially or temporally periodical structures with randomization, applicable to a very broad class of systems. We derive a simple analytical formula in the case of uncorrelated deviations of periods with Gaussian probability distribution. Using Monte Carlo simulations, we also demonstrate that many other distributions show statistical properties that closely coincide with the Gaussian, although some of them are drastically different from it. We observed that the characteristic number of elements necessary for the saturation of the coherency (the "coherency range") depends only on the normalized standard deviation of the size of the elements and not on their probability distribution function. A greatly simplified heuristic formula found by us also fits all of these results with very reasonable precision. In the specific case of x ray transition radiation of low-to-medium relativistic electron beams in multilayer solid-state nanostructures, we show that a structure of a few hundred layers can generate resonantly enhanced radiation in the hard x ray domain with almost unhampered coherency gain. (C) 2005 Optical Society of America.
机译：我们研究具有随机性的空间或时间周期性结构中相干饱和的影响，适用于非常广泛的系统类别。当周期与高斯概率分布不相关时，我们得出一个简单的解析公式。使用蒙特卡洛模拟，我们还证明了许多其他分布都显示出与高斯紧密一致的统计特性，尽管其中一些分布与高斯截然不同。我们观察到，相干饱和度（“相干范围”）所需的元素特征数仅取决于元素大小的标准化标准差，而不取决于其概率分布函数。我们找到的大大简化的启发式公式也以非常合理的精度拟合了所有这些结果。在多层固态纳米结构中低至中相对论电子束的x射线跃迁辐射的特定情况下，我们表明几百层的结构可以在硬x射线域中产生共振增强的辐射，并且相干性几乎不受阻碍获得。 （C）2005年美国眼镜学会。

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