Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-06-07
Phys. Rev. B 61, 3163 (2000)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, RevTeX, replaced with added proof, figure and references. To appear in Phys. Rev. B Jan01 2000
Scientific paper
10.1103/PhysRevB.61.3163
We show that the delay time distribution for wave reflection from a one-dimensional random potential is related directly to that of the reflection coefficient, derived with an arbitrarily small but uniform imaginary part added to the random potential. Physically, the reflection coefficient, being exponential in the time dwelt in the presence of the imaginary part, provides a natural counter for it. The delay time distribution then follows straightforwardly from our earlier results for the reflection coefficient, and coincides with the distribution obtained recently by Texier and Comtet [C.Texier and A. Comtet, Phys.Rev.Lett. {\bf 82}, 4220 (1999)],with all moments infinite. Delay time distribution for a random amplifying medium is then derived . In this case, however, all moments work out to be finite.
Kumar Nirman
Ramakrishna Anantha S.
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