Waves in one-dimensional random media

Author(s):  
George C. Papanicolaou
Keyword(s):  
Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan

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.


1991 ◽  
Vol 155 (2-3) ◽  
pp. 189-196
Author(s):  
K.I Grigorishin ◽  
E.I Ogievetsky

1973 ◽  
Vol 8 (3) ◽  
pp. 1416-1421 ◽  
Author(s):  
U. Frisch ◽  
C. Froeschle ◽  
J.-P. Scheidecker ◽  
P.-L. Sulem

2009 ◽  
Vol 404 (8-11) ◽  
pp. 1471-1476 ◽  
Author(s):  
Yulong Tang ◽  
Yong Yang ◽  
Jianqiu Xu
Keyword(s):  

2018 ◽  
Vol 33 (3) ◽  
pp. 161-171 ◽  
Author(s):  
Andrey Yu. Ambos ◽  
Gennadii A. Mikhailov

Abstract The radiation transfer through random media of three different types was simulated numerically and statistically with the same one-dimensional distributions and correlation radii. The averaged probabilities of passages of quanta and their angular distributions practically coincide, although the calculations of correlation radii and visualizations of the corresponding brightness fields give slightly distinct results. In the calculations we used the methods of ‘double randomization’ and ‘delta-scattering’ and also statistical nuclear estimates.


Author(s):  
O. Dietz ◽  
U. Kuhl ◽  
H.-J. Stöckmann ◽  
F.M. Izrailev ◽  
N.M. Makarov
Keyword(s):  

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