Effect of dielectric responses on localization in one-dimensional random periodic-on-average layered systems.
Dielectric response effects on wave localization in random periodic-on-average layered systems are studied. Based on Monte Carlo simulations and products of random matrices, statistics of the Lyapunov exponent are determined efficiently for very long systems. An oscillatory behavior for Lyapunov exponent is found and explained for mildly strong scattering conditions. We also show the emergence of strongly localized states in metallic layered systems with intermediate disorder for frequencies above the plasma frequency omega(p) of metals, as is not shown in dielectrics. Furthermore, the violation of universal single parameter scaling behaviors in different regimes of multiple scattering is discussed.
Physics Division, National Center for Theoretical Sciences, P.O. Box 2-131, Hsinchu 30043, Taiwan. ccwang@phys.cts.nthu.edu.tw
Cheng-Ching
CC
Wang
Pi-Gang
PG
Luan