Solution to the telegrapher’s equation in the presence of reflecting and partly reflecting boundaries
Open Access
- 1 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 48 (2) , 939-944
- https://doi.org/10.1103/physreve.48.939
Abstract
We show that the reflecting boundary condition for a one-dimensional telegrapher’s equation is the same as that for the diffusion equation, in contrast to what is found for the absorbing boundary condition. The radiation boundary condition is found to have a quite complicated form. We also obtain exact solutions of the telegrapher’s equation in the presence of these boundaries.Keywords
This publication has 14 references indexed in Scilit:
- First-passage time, maximum displacement, and Kac’s solution of the telegrapher equationPhysical Review A, 1992
- Path-integral solution of the telegrapher equation: An application to the tunneling time determinationPhysical Review Letters, 1992
- Addendum to the paper "Heat waves" [Rev. Mod. Phys. 61, 41 (1989)]Reviews of Modern Physics, 1990
- Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchoff's lawsStochastic Processes and their Applications, 1990
- Diffusion of light in turbid materialApplied Optics, 1989
- A continuous-time generalization of the persistent random walkPhysica A: Statistical Mechanics and its Applications, 1989
- Heat wavesReviews of Modern Physics, 1989
- Diffusion of a pulse in densely distributed scatterersJournal of the Optical Society of America, 1978
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATIONThe Quarterly Journal of Mechanics and Applied Mathematics, 1951
- Einige Untersuchungen über Brownsche Bewegung an einem EinzelteilchenAnnalen der Physik, 1917