随机分形孔径与相位屏的自相关
Autocorrelations of random fractal apertures and phase screens
摘要：
我们引入了一个新的产品表示一般随机二进制分形孔径定义从欧几里德空间中删除空隙，并使用它来推导出一个简单的封闭形式的表达式，整体平均相关。在短距离下的幂律缩放几乎立即发生。类似的技术为相位屏和其他应用提供了具有分数布朗短距离行为的物体的简单构造。
英文摘要：
We introduce a new product representation for general random binary fractal apertures defined by removing voids from Euclidean space, and use it to derive a simple closed-form expression for ensemble-averaged correlations. Power-law scaling at short distance follows almost immediately. Similar techniques provide easy constructions of objects with fractional Brownian short-distance behavior for phase screens and other applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
