Journal
ANNALS OF PHYSICS
Volume 435, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2021.168565
Keywords
Anderson localization; Random media; Anisotropic media; Mobility edge
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Funding
- Natural Sciences and Engineering Research Council of Canada [RGPIN-2016-06042]
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The study found that in an ensemble of resonant point scatterers embedded in an anisotropic background medium, localized modes have anisotropic spatial shapes, but their anisotropy is weaker than expected from purely geometric considerations. The modes with the longest lifetimes are the most anisotropic, and their anisotropy increases with the size of the disordered medium.
We study Anderson localization of a scalar wave in an ensemble of resonant point scatterers embedded in an anisotropic background medium. For uniaxial anisotropy of moderate strength, the mobility edges and the critical exponent of the localization transition are found to be unaffected by the anisotropy provided that the determinant of the anisotropy tensor is kept equal to one upon introducing the anisotropy. Localized modes have anisotropic spatial shapes although their anisotropy is weaker than the one expected from purely geometric considerations. The modes with the longest lifetimes are found to be the most anisotropic and their anisotropy increases with the size of the disordered medium. (C) 2021 Elsevier Inc. All rights reserved.
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