Anderson localization and propagation of electromagnetic waves through disordered media

2010 ◽  
Vol 20 (1) ◽  
pp. 191-200 ◽  
Author(s):  
A. Sheikhan ◽  
N. Abedpour ◽  
R. Sepehrinia ◽  
M.D. Niry ◽  
M. Reza Rahimi Tabar ◽  
...  
Keyword(s):  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Disordered Media

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.

scholarly journals Charge density waves in disordered media circumventing the Imry-Ma argument

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Hitesh J. Changlani ◽  
Norm M. Tubman ◽  
Taylor L. Hughes
Keyword(s):  
Charge Density ◽  
Anderson Localization ◽  
Charge Density Waves ◽  
Disordered Media ◽  
Biomolecular Systems ◽  
One Dimensional ◽  
Broken Symmetries ◽  
Electrically Conducting ◽  
Theoretical Predictions ◽  
Ordered State

Abstract Two powerful theoretical predictions, Anderson localization and the Imry-Ma argument, impose significant restrictions on the phases of matter that can exist in the presence of even the smallest amount of disorder in one-dimensional systems. These predictions forbid electrically conducting states and ordered states respectively. It was thus remarkable that a mechanism to circumvent Anderson localization relying on the presence of correlated disorder was found, that is also realized in certain biomolecular systems. In a similar manner, we show that the Imry-Ma argument can be circumvented, resulting in the formation of stable ordered states with discrete broken symmetries in disordered one dimensional systems. We then investigate other mechanisms by which disorder can destroy an ordered state.

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