Subdiffusive light transport in three-dimensional subrandom arrays

التفاصيل البيبلوغرافية
العنوان: Subdiffusive light transport in three-dimensional subrandom arrays
المؤلفون: Sgrignuoli, Fabrizio, Negro, Luca Dal
المصدر: Phys. Rev. B 101, 214204 (2020)
سنة النشر: 2020
المجموعة: Condensed Matter
Physics (Other)
مصطلحات موضوعية: Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Mesoscale and Nanoscale Physics, Physics - Optics
الوصف: We investigate light transport in novel three-dimensional scattering systems generated according to subrandom sequences and demonstrate subdiffusive behavior typical of wave transport in disordered systems at the critical point for metal-insulator-transitions but in a wider range of parameters. Specifically, we solve the electromagnetic multiple scattering problem using the Green's matrix spectral theory for aperiodic systems based on Halton, Sobol, and stochastic Latin-Hypercube sequences. By studying the Thouless number and the level spacing statistics of the electromagnetic resonances at different scattering density we demonstrate that light transport in deterministic Halton and Sobol structures exhibit multifractal behavior characterized by inverse power law scaling of level spacing statistics across a wide range of densities of dipolar scatterers. On the other hand, this scenario is absent in the stochastic Latin-Hypercube array, whose behavior resembles instead standard diffusion in uniform random media. Our findings establish a connection between subdiffusion and subrandom aperiodic order and provide a novel strategy to design three-dimensional structures with multifractal properties over a broad spectral range.
Comment: 11 pages, 5 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.101.214204
URL الوصول: http://arxiv.org/abs/2003.02338
رقم الأكسشن: edsarx.2003.02338
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.101.214204