Diffraction of Wigner functions

Stephen C. Creagh*, Martin Sieber, Gabriele Gradoni, Gregor Tanner

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)
41 Downloads (Pure)

Abstract

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.

Original languageEnglish
Article number015701
Number of pages28
JournalJournal of Physics A: Mathematical and Theoretical
Volume54
Issue number1
Early online date26 Nov 2020
DOIs
Publication statusPublished - 8 Jan 2021

Bibliographical note

Publisher Copyright:
© 2020 The Author(s). Published by IOP Publishing Ltd.

Keywords

  • Wigner function
  • diffraction
  • ray tracing
  • wave chaos
  • semiclassical

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