Enhanced wave localization in multifractal scattering media

Article

关键词: FRACTALS;    METAMATERIALS;    DIMENSIONS;    TURBULENCE;    DISORDER;    SPACINGS;    SPECTRA;    MODES;   

DOI  :  10.1103/PhysRevB.107.054201

来源: SCIE

【 摘 要 】

In this paper, we study the structural, scattering, and wave localization properties of multifractal arrays of elec-tric point dipoles generated from multiplicative random fields with different spectra of fractal dimensions. Specif-ically, using the rigorous Green's matrix method, we investigate the scattering resonances and wave localization behavior of systems with N = 104 dipoles and demonstrate an enhanced localization behavior in highly inhomo-geneous 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 nonhomogeneous 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.

【 授权许可】

Free