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 language | English |
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Article number | 015701 |
Number of pages | 28 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 54 |
Issue number | 1 |
Early online date | 26 Nov 2020 |
DOIs | |
Publication status | Published - 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