A phase-space approach for propagating field–field correlation functions
A phase-space approach for propagating field–field correlation functions
复制标题
传播场场相关函数的相空间方法
DOI：
10.1088/1367-2630/17/9/093027
复制
发表时间：
2015
影响因子：
3.3
通讯作者：
David W. P. Thomas
中科院分区：
文献类型：
--
作者：
G. Gradoni;S. Creagh;G. Tanner;C. Smartt;David W. P. Thomas
我们证明了基于Wigner分布函数的方法可以有效地模拟复杂的、固有的随机但相关的波源的辐射。我们的方法利用了关联函数和Wigner函数之间的联系，并在其最简单的近似下允许根据相空间中光线密度的演化来直接表示。我们证明了光线跟踪近似的下一个前导阶校正导出了艾里函数型相空间传播子。通过利用精确的Wigner函数传播子，可以包括和分析固有的类波效应，例如来自更多异质源的瞬逝衰变或辐射，以及衍射和反射。我们特别讨论了逝去波在非近轴源近场中的作用，并给出了关联长度增长率随距源距离的显式表达式。用模式震源的全波模拟验证了这些近似。特别地，给出了部分相干源从平面镜反射的结果，其中可以证明艾里函数修正的影响。在这里，我们将重点放在微波频率的电磁源和电磁兼容性方面的建模工作上。
We show that radiation from complex and inherently random but correlated wave sources can be modelled efficiently by using an approach based on the Wigner distribution function. Our method exploits the connection between correlation functions and the Wigner function and admits in its simplest approximation a direct representation in terms of the evolution of ray densities in phase space. We show that next leading order corrections to the ray-tracing approximation lead to Airy-function type phase space propagators. By exploiting the exact Wigner function propagator, inherently wave-like effects such as evanescent decay or radiation from more heterogeneous sources as well as diffraction and reflection can be included and analysed. We discuss in particular the role of evanescent waves in the near-field of non-paraxial sources and give explicit expressions for the growth rate of the correlation length as a function of the distance from the source. The approximations are validated using full-wave simulations of model sources. In particular, results for the reflection of partially coherent sources from flat mirrors are given where the influence of Airy function corrections can be demonstrated. We focus here on electromagnetic sources at microwave frequencies and modelling efforts in the context of electromagnetic compatibility.
印刷电路板的经验发射本征模
影响因子：
2.1
作者：
Arnaut L
通讯作者：
Arnaut L