Spatial correlation functions of inhomogeneous random electromagnetic fields.

Spatial correlation functions of inhomogeneous random electromagnetic fields.
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非均匀随机电磁场的空间相关函数。

DOI:
10.1103/physreve.73.036604
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发表时间:
2006
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
L. R. Arnaut
L. R. Arnaut
中科院分区:
--
文献类型:
--
作者:
L. R. Arnaut

文献摘要

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基于随机平面波角谱的TE/TM分解,分析了无限大平面理想导电表面对随机准单色经典电磁矢量场空间相关函数的影响.表面的存在导致相关性依赖于场点的绝对和相对位置(非均匀相关性)。作为特殊情况,统计齐次随机自由场的已知渐近结果被检索。的分析结果与分离,无论是垂直或平行于表面的计算说明。任何场分量的相关距离表现出阻尼振荡依赖于局部中心点。给出了相关单元涨落的几何解释。
We analyze the influence of an infinite planar perfectly conducting surface on the spatial correlation functions of a random quasimonochromatic classical electromagnetic vector field, based on a TE/TM decomposition of an angular spectrum of random plane waves. The presence of the surface causes the correlation to depend on both the absolute and relative locations of the field points (inhomogeneous correlation). Known asymptotic results for statistically homogeneous random free fields are retrieved as special cases. The analytical results are illustrated with computations for separations that are either perpendicular or parallel to the surface. The correlation distance for any field component exhibits a damped oscillatory dependency on the local center point. A geometric interpretation in terms of fluctuations of correlation cells is given.