Enhanced wave localization in multifractal scattering media
arXiv:2208.08528 · doi:10.1103/PhysRevB.107.054201
Abstract
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 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.
References in corpus (23)
- Anderson Transitions
- Hyperuniform States of Matter
- Experimental observation of the Anderson transition with atomic matter waves
- Multifractal analysis of financial markets
- Visualizing Critical Correlations near the Metal-Insulator Transition in Ga1-xMnxAs
- Absence of Anderson localization of light in a random ensemble of point scatterers
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- Disorder induced multifractal superconductivity in monolayer niobium dichalcogenides
- Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
- Multifractal analysis with the probability density function at the three-dimensional Anderson transition
- Magnetic-field-driven localization of light in a cold-atom gas
- Strong Coupling to Two-Dimensional Anderson Localized Modes
- Light Localization and Cooperative Coupling Effects in Aperiodic Vogel Spirals
- Localization of classical waves in two dimensional random media: A comparison between the analytic theory and exact numerical simulation
- Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
- Quantum dipole emitters in structured environments: A scattering approach (tutorial)
- Optical Thouless conductance and level-spacing statistics in two-dimensional Anderson localizing systems
- Level spacing statistics for light in two-dimensional disordered photonic crystals
- Fractal light from lasers
- Subdiffusive light transport in three-dimensional subrandom arrays
- Hyperuniformity and wave localization in pinwheel scattering arrays
- Optical rogue waves in multifractal photonic arrays
- Aperiodic bandgap structures for enhanced quantum two-photon sources