1999/09/03 by C. W. J. Beenakker, K. J. H. van Bemmel, Piet W. Brouwer +1
Engineering · Physics and Astronomy · #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #Terahertz technology and applications #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreve.60.r6313
published as Phys.Rev.E 60, R6313 (1999) · 3 pages, 1 figure
arxiv created 1999/09/03 · openalex publication_date 1999/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the effect of localization on the propagation of a pulse through a multimode disordered waveguide. The correlator 〈u(\ensuremathω1)u*(\ensuremathω2)〉 of the transmitted wave amplitude u at two frequencies differing by \ensuremathδ\ensuremathω has for large \ensuremathδ\ensuremathω the stretched exponential tail \ensuremath∝exp(\ensuremath-√\ensuremathτD\ensuremathδ\ensuremathω/2). The time constant \ensuremathτD=L2/D is given by the diffusion coefficient D, even if the length L of the waveguide is much greater than the localization length \ensuremathξ. Localization has the effect of multiplying the correlator by a frequency-independent factor exp(\ensuremath-L/2\ensuremathξ), which disappears upon breaking time-reversal symmetry.