随机波场中拓扑荷的屏蔽与涨落
Screening and fluctuation of the topological charge in random wave fields
摘要：
涡旋、相位奇点和任何类型的拓扑缺陷往往反映了对理解这些实体所处的物理系统至关重要的信息。通过数值计算支持的近场实验，我们确定了各向同性随机波中相位奇点的拓扑荷随观测窗口大小R的波动。我们表明，对于二维领域的波动增加与超线性标度律，符合R log R行为。此外，我们表明，这种缩放仍然有效的各向异性的存在。
英文摘要：
Vortices, phase singularities, and topological defects of any kind often reflect information that is crucial for understanding physical systems in which such entities arise. With near-field experiments supported by numerical calculations, we determine the fluctuations of the topological charge for phase singularities in isotropic random waves as a function of the size R of the observation window. We demonstrate that for two-dimensional fields such fluctuations increase with a superlinear scaling law, consistent with a R log R behavior. Additionally, we show that such scaling remains valid in the presence of anisotropy.
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