Effects of structural periodicity on localization length in one-dimensional periodic-on-average disordered systems.
We investigate the effects of structural periodicity on wave localization in one-dimensional periodic-on-average disordered systems and derive two relations from the properties of the spectral periodicity and symmetry of the underlying periodic systems. These two relations predict equal localization lengths between disordered systems with different randomness. Comparisons with numerically simulated results show good agreement. These relations are used to explain some properties of the frequency dependence of the localization length, such as oscillation, asymmetry, etc.
School of Physics & Telecommunication Engineering, South China Normal University, Guangzhou, Guangdong, 510006, China. hanp@scnu.edu.cn
Peng
P
Han
Chujun
C
Zheng