Signature of wave localisation in the time dependence of a reflected pulse
| dc.creator | Titov, M. | |
| dc.creator | Beenakker, C. W. J. | |
| dc.date | 2000-05-02 | |
| dc.date | 2000-08-04 | |
| dc.date.accessioned | 2026-07-07T02:37:31Z | |
| dc.date.available | 2026-07-07T02:37:31Z | |
| dc.description | The average power spectrum of a pulse reflected by a disordered medium embedded in an N-mode waveguide decays in time with a power law t^(-p). We show that the exponent p increases from 3/2 to 2 after N^2 scattering times, due to the onset of localisation. We compare two methods to arrive at this result. The first method involves the analytic continuation to imaginary absorption rate of a static scattering problem. The second method involves the solution of a Fokker-Planck equation for the frequency dependent reflection matrix, by means of a mapping onto a problem in non-Hermitian quantum mechanics. | |
| dc.description | 4 pages, 1 figure, reorganized version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0005042 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0005042 | |
| dc.identifier | Phys.Rev.Lett. 85, 3388 (2000) | |
| dc.identifier | doi:10.1103/PhysRevLett.85.3388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16318 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Signature of wave localisation in the time dependence of a reflected pulse | |
| dc.type | text |