Impact of Weak Localization on Wave Dynamics: Crossover from Quasi-1D to Slab Geometry
Zhang, Z. Q. ; Cheung, S. K. ; Zhang, X. ; Chabanov, A. A. ; Genack, A. Z.
Methods Appl. Anal., Tome 11 (2004) no. 1, p. 465-474 / Harvested from Project Euclid
We 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 $R/L\gg 1$. The value of $D(t)$ extrapolated to $t=0$, depends only upon the dimensionless conductance $g$ for $R/L \ll 1$ and upon $kl_0$ and $L$ for $R/L \gg 1$, where $k$ is the wave vector and $l_0$ is the bare mean free path.
Publié le : 2004-09-14
Classification: 
@article{1147353067,
     author = {Zhang, Z. Q. and Cheung, S. K. and Zhang, X. and Chabanov, A. A. and Genack, A. Z.},
     title = {Impact of Weak Localization on Wave Dynamics: Crossover from Quasi-1D to
 Slab Geometry},
     journal = {Methods Appl. Anal.},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 465-474},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1147353067}
}
Zhang, Z. Q.; Cheung, S. K.; Zhang, X.; Chabanov, A. A.; Genack, A. Z. Impact of Weak Localization on Wave Dynamics: Crossover from Quasi-1D to
 Slab Geometry. Methods Appl. Anal., Tome 11 (2004) no. 1, pp.  465-474. http://gdmltest.u-ga.fr/item/1147353067/