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Diffraction of Wigner functions
Journal of Physics A: Mathematical and Theoretical ( IF 2.0 ) Pub Date : 2020-12-09 , DOI: 10.1088/1751-8121/abc72a
Stephen C Creagh 1 , Martin Sieber 2 , Gabriele Gradoni 1 , Gregor Tanner 1
Affiliation  

We describe the contribution of diffractive orbits to semiclassical approximations of Wigner function propagators. These contributions are based on diffractively scattered rays used in the geometrical theory of diffraction (GTD). They provide an extension of well-established approximations of Wigner-function propagators based on rays that propagate by specular reflection and refraction. The wider aim of this approach is to allow for diffractive mechanisms to be accounted for in Eulerian approaches to ray-tracing simulations. Such approaches propagate densities of rays rather than follow rays individually. They promise to be a more efficient means of performing ray-tracing simulations in complex environments with applications in, for example, planning of wireless signal coverage for mobile communication networks.



中文翻译:

维格纳函数的衍射

我们描述了衍射轨道对维格纳函数传播子的半经典近似的贡献。这些贡献基于衍射几何理论(GTD)中使用的衍射散射射线。它们基于通过镜面反射和折射传播的射线,提供了公认的维格纳函数传播器近似值的扩展。这种方法的更广泛的目的是允许在欧拉方法中对射线追踪模拟考虑衍射机制。这样的方法传播射线的密度,而不是单独地跟随射线。它们有望成为在复杂环境中执行光线跟踪模拟的一种更有效的方法,其应用领域包括,例如,规划移动通信网络的无线信号覆盖范围。

更新日期:2020-12-09
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