Anderson Localization in the Subwavelength Regime.
Anderson Localization in the Subwavelength Regime.
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DOI：
10.1007/s00220-023-04880-w
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发表时间：
2024
影响因子：
2.4
通讯作者：
Hiltunen, Erik Orvehed
中科院分区：
文献类型：
--
作者：
Ammari, Habib;Davies, Bryn;Hiltunen, Erik Orvehed
在这篇文章中，我们利用最近在耦合亚波长谐振腔系统研究方面的突破，揭示了导致安德森局域化的基本特征的机制。强局部化在随机介质中的发生已被证明是难以理解的，特别是在物理派生的多维模型和具有远程相互作用的系统中。我们发现，随机选取材料参数的高对比度谐振器对时间谐波的散射再现了Anderson局域化的特征。特别是，我们证明了亚波长谐振模的杂化既是能级排斥的原因，也是广泛观察到的相变的原因，在这一点上本征模对称性互换和非常强的局域化是可能的。我们从第一性原理出发，利用材料对比参数的渐近展开式，得到了局域模的广义电容矩阵的特征。这个模型捕捉了波-散射系统的长程相互作用，并提供了一个简明的框架来解释所观察到的奇异现象。
In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence of strong localization in random media has proved difficult to understand, particularly in physically derived multi-dimensional models and systems with long-range interactions. We show here that the scattering of time-harmonic waves by high-contrast resonators with randomly chosen material parameters reproduces the characteristic features of Anderson localization. In particular, we show that the hybridization of subwavelength resonant modes is responsible for both the repulsion of energy levels as well as the widely observed phase transition, at which point eigenmode symmetries swap and very strong localization is possible. We derive results from first principles, using asymptotic expansions in terms of the material contrast parameter and obtain a characterization of the localized modes in terms of generalized capacitance matrices. This model captures the long-range interactions of the wave-scattering system and provides a concise framework to explain the exotic phenomena that are observed.
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DOI：
10.1073/pnas.1120432109
发表时间：
2012-09-11
影响因子：
11.1
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
2.7
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影响因子：
7
作者：
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通讯作者：
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DOI：
10.1112/jlms.12619
发表时间：
2022-04-22
影响因子：
1.2
作者：
Ammari, Habib;Davies, Bryn;Hiltunen, Erik Orvehed
通讯作者：
Hiltunen, Erik Orvehed