Anderson Localization in Anisotropically Random Media

1990 ◽  
Vol 195 ◽  
Author(s):  
Ping Sheng ◽  
Weige Xue ◽  
Zhao-Qing Zhang ◽  
Q. J. Chu
Keyword(s):  
Anderson Localization ◽  
Random Media ◽  
Experimental Approach ◽  
Random Medium ◽  
Spatial Dimension ◽  
Numerical Results ◽  
Dimensional Crossover ◽  
System Behavior ◽  
Mobility Edge ◽  
Localization Phenomenon

ABSTRACTDimensional cross-over behavior of Anderson localization is presented. By delineating the physical basis of localization, it is shown that the localization phenomenon is sensitive to the spatial dimension of the randomness. Analytic and numerical results demonstrate that in an anisotropically random medium there is a critical amount of anisotropy which separates the system behavior into a ID-like regime and a 3D-like regime. Dimensional crossover is proposed as a viable experimental approach to observe the mobility edge.

scholarly journals Anomalous Anderson localization behavior in gain-loss balanced non-Hermitian systems

Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Random Media ◽  
Normal Incidence ◽  
Disordered Media ◽  
One Dimensional ◽  
Gain Loss ◽  
The Waves ◽  
Localization Behavior

AbstractIt has been shown recently that the backscattering of wave propagation in one-dimensional disordered media can be entirely suppressed for normal incidence by adding sample-specific gain and loss components to the medium. Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered so that the Anderson localization occurs. Our results show that the Anderson localization in the non-Hermitian system behaves differently from random Hermitian systems in which the backscattering is suppressed.

Effect of a local crack on the dynamic characteristics of a rotating grouped blade disc

2001 ◽  
Vol 216 (4) ◽  
pp. 447-457 ◽  
Author(s):  
B W Huang ◽  
J H Kuang
Keyword(s):  
Dynamic Characteristics ◽  
Rotational Speed ◽  
Crack Depth ◽  
Numerical Results ◽  
Galerkin’S Method ◽  
Mode Localization ◽  
Torsion Spring ◽  
Crack Distribution ◽  
Localization Phenomenon ◽  
Blade Crack

The effects of a local blade crack and the group arrangement on the mode localization in a rotating turbodisc are studied in this paper. Periodically coupled Euler—Bernoulli beams are used to approximate the grouped and shrouded turboblades. A two-span beam with a torsion spring is used to model the cracked blade. The crack depth characterizes the stiffness of the assumed torsion spring. Galerkin's method is applied to formulate the localization equations of the grouped turbodisc system. Numerical results indicate that the crack depth, crack distribution and rotational speed in a rotating grouped blade disc may significantly affect the localization phenomenon.

Combined analytical and experimental approaches to rotor components stress predictions

2011 ◽  
Vol 225 (4) ◽  
pp. 322-330 ◽  
Author(s):  
M Chierichetti ◽  
C McColl ◽  
D Palmer ◽  
M Ruzzene ◽  
O Bauchau
Keyword(s):  
Experimental Data ◽  
Dynamic Response ◽  
Complex Systems ◽  
Rotor Blade ◽  
Experimental Approach ◽  
Numerical Results ◽  
Multibody Model ◽  
Lab Experiments ◽  
Experimental Approaches ◽  
Thin Walled

A combined analytical and experimental approach is introduced to estimate the dynamic response of complex systems from a limited number of measurements. The method is based on the concept that modal information is sufficient to extrapolate the complete map of the response from experimental data through the reconstruction of modal loads. The capabilities of the algorithm are first verified via well-controlled lab experiments on a thin-walled aluminium-rotor blade. Numerical results from a comprehensive UH-60 multibody model are then compared with available experimental data. Significant improvements in the accuracy of the predicted results are achieved when simple airloads models are employed as inputs.

scholarly journals LOW SHEAR VISCOSITY DUE TO ANDERSON LOCALIZATION

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2256-2262
Author(s):  
IOANNIS GIANNAKIS ◽  
DEFU HOU ◽  
JIA-RONG LI ◽  
HAI-CANG REN
Keyword(s):  
Shear Viscosity ◽  
Anderson Localization ◽  
Bound States ◽  
Random Medium ◽  
Heavy Ion ◽  
Kubo Formula ◽  
Ion Collisions ◽  
Localization Effect ◽  
Low Shear

We study the Anderson Localization effect on the shear viscosity in a system with random medium by Kubo formula. We show that this effect can reduce the shear viscosity nonperturbatively. Then we discuss its possible implementation in heavy-ion collisions, where the created heavy bound states or other collective modes may play the role of the random scatterer underlying Anderson Localization effect.

scholarly journals Numerical study of light correlations in a random medium close to the Anderson localization threshold

2004 ◽  
Vol 29 (9) ◽  
pp. 917 ◽  
Author(s):  
Shih-Hui Chang ◽  
Allen Taflove ◽  
Alexey Yamilov ◽  
Aleksander Burin ◽  
Hui Cao
Keyword(s):  
Anderson Localization ◽  
Numerical Study ◽  
Random Medium ◽  
Localization Threshold
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