Document type
ArticleVersion
Published versionPublication date
All rights reserved
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18897
When telegrapher's equation furnishes a better approximation to transport equation than the difussion approximation
Journal Title
Director/Tutor
Journal ISSN
Volume Title
Related resource
Abstract
It has been suggested that a solution to the transport equation which includes anisotropic scattering can be approximated by the solution to a telegrapher's equation [A.J. Ishimaru, Appl. Opt. 28, 2210 (1989)]. We show that in one dimension the telegrapher's equation furnishes an exact solution to the transport equation. In two dimensions, we show that, since the solution can become negative, the telegrapher's equation will not furnish a usable approximation. A comparison between simulated data in three dimensions indicates that the solution to the telegrapher's equation is a good approximation to that of the full transport equation at the times at which the diffusion equation furnishes an equally good approximation.
Subject (English)
Citation
Citation
PORRÀ I ROVIRA, Josep Maria, MASOLIVER, Jaume and WEISS, George H. (George Herbert). When telegrapher's equation furnishes a better approximation to transport equation than the difussion approximation. Physical Review E. 1997. Vol. 55, num. 6, pags. 7771-7774. ISSN 1063-651X. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/18897