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Anderson localization and Brewster anomaly of electromagnetic waves in randomly-stratified anisotropic mediaoa mark
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Publication Year
2019-05-15
Journal
Materials Research Express
Publisher
Institute of Physics Publishing
Citation
Materials Research Express, Vol.6 No.8
Keyword
anisotropic mediaBrewster anomalylocalization
Mesh Keyword
Analytical expressionsAnderson localizationBrewster anomalyExistence conditionslocalizationLocalization lengthLongitudinal componentsTransverse components
All Science Classification Codes (ASJC)
Electronic, Optical and Magnetic MaterialsBiomaterialsSurfaces, Coatings and FilmsPolymers and PlasticsMetals and Alloys
Abstract
Anderson localization of p-polarized waves and the Brewster anomaly phenomenon, which is the delocalization of p-polarized waves at a special incident angle, in randomly-stratified anisotropic media are studied theoretically for two different random models. In the first model, the random parts of the transverse and longitudinal components of the dielectric tensor, between which the longitudinal component is the one in the stratification direction, are assumed to be uncorrelated, while, in the second model, they are proportional to each other. We calculate the localization length in a precise way using the invariant imbedding method. From analytical considerations, we provide an interpretation of the Brewster anomaly as a phenomenon arising when the wave impedance is effectively uniform. Similarly, the ordinary Brewster effect is interpreted as an impedance matching phenomenon. We derive the existence condition for the Brewster anomaly and concise analytical expressions for the localization length, which are accurate in the weak disorder regime. We find that the Brewster anomaly can arise only when disorder is sufficiently weak and only in the second model with a positive ratio of the random parts. The incident angle at which the anomaly occurs depends sensitively on the ratio of the random parts and the average values of the tensor components. In the cases where the critical angle of total reflection exists, the angle at which the anomaly occurs can be either bigger or smaller than the critical angle. When the transverse and longitudinal components are uncorrelated, localization is dominated by the the transverse component at small incident angles. When only the longitudinal component is random, the localization length diverges as θ -4 as the incident angle θ goes to zero and is also argued to diverge for all θ in the strong disorder limit.
ISSN
2053-1591
Language
eng
URI
https://aurora.ajou.ac.kr/handle/2018.oak/30827
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85069722228&origin=inward
DOI
https://doi.org/2-s2.0-85069722228
Journal URL
https://iopscience.iop.org/article/10.1088/2053-1591/ab1aa9/pdf
Type
Article
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Kim, Kihong 김기홍
Department of Physics
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