Impact of Weak Localization on Wave Dynamics: Crossover from Quasi-1D to Slab Geometry

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dc.creatorZhang, Z. Q.
dc.creatorCheung, S. K.
dc.creatorZhang, X. D.
dc.creatorChabanov, A. A
dc.creatorGenack, A. Z.
dc.date2005-09-13
dc.date.accessioned2026-07-25T23:31:44Z
dc.descriptionWe study the dynamics of wave propagation in nominally diffusive samples by solving the Bethe-Salpeter equation with recurrent scattering included in a frequency-dependent vertex function, which renormalizes the mean free path of the system. We calculate the renormalized time-dependent diffusion coefficient, D(t), following pulsed excitation of the system. For cylindrical samples with reflecting side walls and open ends, we observe a crossover in dynamics in the transformation from a quasi-1D to a slab geometry implemented by varying the ratio of the radius, R, to the length, L. Immediately after the peak of the transmitted pulse, D(t) falls linearly with a nonuniversal slope that approaches an asymptotic value for R/L>>1. The value of D(t) extrapolated to t=0, depends only upon the dimensionless conductance g for R/L<<1 and upon kl and L for R/L>>1, where k is the wave vector and l is the bare mean free path.
dc.description9 pages, 5 figures, published in Methods and Applications of Analysis, Vol. 11, No. 3, pp. 001-010 (International Press, MA, Sep 2004)
dc.identifierhttps://arxiv.org/abs/cond-mat/0509325
dc.identifierhttp://arxiv.org/abs/cond-mat/0509325
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/99177
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleImpact of Weak Localization on Wave Dynamics: Crossover from Quasi-1D to Slab Geometry
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