Enhanced wave localization in multifractal scattering media
Enhanced wave localization in multifractal scattering media
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DOI：
10.1103/physrevb.107.054201
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发表时间：
2022-08
影响因子：
3.7
通讯作者：
Yuyao Chen;F. Sgrignuoli;Yilin Zhu;Tornike Shubitidze;L. D. Negro
中科院分区：
文献类型：
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作者：
Yuyao Chen;F. Sgrignuoli;Yilin Zhu;Tornike Shubitidze;L. D. Negro
本文研究了由不同程度多尺度相关的乘性随机场产生的电点偶极子多重分形阵列的结构、散射和波的局部化性质。具体来说，我们使用严格的格林矩阵方法，研究了$N=10^{4}$偶极子系统的散射共振和波的局部化行为，并证明了与均匀分形或单分形相比，在高度非均匀的多重分形结构中具有增强的局部化行为。我们展示了独特的光谱特性，如在强多重散射区不存在能级排斥和能级间隔的幂律统计，这表明在非均匀多重分形中有明显的局域化转变。我们的研究结果揭示了多重分形结构相关性在电偶极子阵列多重散射机制中的重要性，并为设计具有增强光物质耦合和局部化现象的多尺度纳米光子系统提供了一个有效的模型，超越了传统分形系统的可能性。
In this paper we study the structural, scattering, and wave localization properties of multifractal arrays of electric point dipoles generated from multiplicative random fields with different degrees of multiscale correlations. Specifically, using the rigorous Green's matrix method, we investigate the scattering resonances and wave localization behavior of systems with $N=10^{4}$ dipoles and demonstrate an enhanced localization behavior in highly inhomogeneous multifractal structures compared to homogeneous fractals, or monofractals. We show distinctive spectral properties, such as the absence of level repulsion in the strong multiple scattering regime and power-law statistics of level spacings, which indicate a clear localization transition enhanced in non-homogeneous multifractals. Our findings unveil the importance of multifractal structural correlations in the multiple scattering regime of electric dipole arrays and provide an efficient model for the design of multiscale nanophotonic systems with enhanced light-matter coupling and localization phenomena beyond what is possible with traditional fractal systems.