Signature of Wave Localization in the Time Dependence of a Reflected Pulse
Abstract
The average power spectrum of a pulse reflected by a disordered medium embedded in an Nmode waveguide decays in time with a power law t^{p}. We show that the exponent p increases from 32 to 2 after N^{2} scattering times, due to the onset of localization. We compare two methods to arrive at this result. The first method involves the analytic continuation to an imaginary absorption rate of a static scattering problem. The second method involves the solution of a FokkerPlanck equation for the frequency dependent reflection matrix, by means of a mapping onto a problem in nonHermitian quantum mechanics.
 Publication:

Physical Review Letters
 Pub Date:
 October 2000
 DOI:
 10.1103/PhysRevLett.85.3388
 arXiv:
 arXiv:condmat/0005042
 Bibcode:
 2000PhRvL..85.3388T
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages, 1 figure, reorganized version