High-frequency dynamics of wave localization.
We study the effect of localization on the propagation of a pulse through a multimode disordered waveguide. The correlator <u(omega(1))u(*)(omega(2))> of the transmitted wave amplitude u at two frequencies differing by delta omega has for large delta omega the stretched exponential tail proportional to (- square root[tau(D)delta omega/2]). The time constant tau(D)=L(2)/D is given by the diffusion coefficient D, even if the length L of the waveguide is much greater than the localization length xi. Localization has the effect of multiplying the correlator by a frequency-independent factor exp(-L/2 xi), which disappears upon breaking time-reversal symmetry.
Beenakker
C W
CW
Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands.
van Bemmel
K J
KJ
Brouwer
P W
PW