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Fang, P; Tian, CS; Zhao, LY; Bliokh, YP; Freilikher, V1,2,5,6; Nori, F5,7
Universality of eigenchannel structures in dimensional crossover
Source PublicationPHYSICAL REVIEW B
AbstractThe propagation of waves through transmission eigenchannels in complex media is emerging as a new frontier of condensed matter and wave physics. A crucial step towards constructing a complete theory of eigenchannels is to demonstrate their spatial structure in any dimension and their wave-coherence nature. Here we show a surprising result in this direction. Specifically, we find that as the width of diffusive samples increases transforming from quasi-one-dimensional (1D) to two-dimensional (2D) geometry, notwithstanding the dramatic changes in the transverse (with respect to the direction of propagation) intensity distribution of waves propagating in such channels, the dependence of intensity on the longitudinal coordinate does not change and is given by the same analytical expression as that for quasi-1D. Furthermore, with a minimal modification, the expression describes also the spatial structures of localized resonances in strictly 1D random systems. It is thus suggested that the key ingredients of eigenchannels are not only universal with respect to the disorder ensemble and the dimension, but also of 1D nature and closely related to the resonances. Our findings open up a way to tailor the spatial energy density distribution in opaque materials.
Subject AreaMaterials Science ; Physics
MOST Discipline CatalogueMaterials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
Indexed BySCIE
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Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
2.Chinese Acad Sci, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
4.Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
5.Bliokh, Yury P.] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
6.RIKEN Cluster Pioneering Res, Theoret Quantum Phys Lab, Wako, Saitama 3510198, Japan
7.Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel
8.Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA
Recommended Citation
GB/T 7714
Fang, P,Tian, CS,Zhao, LY,et al. Universality of eigenchannel structures in dimensional crossover[J]. PHYSICAL REVIEW B,2019,99(9):94202.
APA Fang, P,Tian, CS,Zhao, LY,Bliokh, YP,Freilikher, V,&Nori, F.(2019).Universality of eigenchannel structures in dimensional crossover.PHYSICAL REVIEW B,99(9),94202.
MLA Fang, P,et al."Universality of eigenchannel structures in dimensional crossover".PHYSICAL REVIEW B 99.9(2019):94202.
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