Dynamics of Fluctuations of Localized Waves

TL;DR

This paper investigates the temporal evolution of intensity fluctuations in strongly localized 1D and quasi-1D samples, revealing dynamic behavior consistent with a single parameter scaling model and highlighting the role of mode participation over time.

Contribution

It provides new insights into the time-dependent behavior of mesoscopic fluctuations in localized waves, supported by both experiments and simulations.

Findings

Initial burst in fluctuations due to ballistic transmission timing

Fluctuations rise, then drop to a minimum at t_m, then increase again

Results align with a dynamic single parameter scaling model for t > 3t_m

Abstract

We follow the temporal evolution of mesoscopic intensity fluctuations and correlation in strongly localized samples. We find an initial burst in relative transmission fluctuations in random one dimensional (1D) samples due to fluctuations in the arrival time of ballistic transmission. Relative fluctuations subsequently rise, then drop to a minimum at a time t_m, after which they increase rapidly in 1D simulations and quasi-1D (Q1D) measurements. For t > 3t_m, results in 1D and Q1D samples converge towards predictions of a dynamic single parameter scaling model. These results reflect the changing number of modes participating appreciably in transmission as the impact of longer lived modes grows with time delay.