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HAIT Journal of Science and Engineering Volume 1, Issue 1, pp. 91-100 © 2004 Holon Academic Institute of Technology | ||||||
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One-dimensional disordered sample as a quantum potential well: localization and resonant transmission
Konstantin Yu. Bliokh1, Yuri P. Bliokh2 and Valentin D. Freilikher3,*
1Institute of Radio Astronomy, Kharkov 61002, Ukraine | 2Department of Physics, Technion, Haifa 32000, Israel 3Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel *Corresponding author: freiliv@mail.biu.ac.il Received 7 November 2003
| Resonant transmission and localization of energy in 1D disordered systems have been studied. It is shown how the existence and properties of a resonance at a given frequency are related to the internal structure of the random realization. A mapping of the stochastic scattering problem in hand onto a deterministic quantum problem is developed. It enables to exploit quantum mechanical formulas for the quantitative description of the spectral density, transmission coefficients and spatial energy distributions at the resonances using the total length of the sample and the localization length as the fitting parameters. The validity of the analytical results derived from the mapping had been checked by extensive numerical simulations.
___________________ | Presented at Russian-Israeli Conference Frontiers in Condensed Matter Physics Shoresh, Israel, 19-24 October 2003 |