Anderson transition for light in three dimensions

Fuente: arXiv
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Autori principali: Yamilov, Alexey, Cao, Hui, Skipetrov, Sergey E.
Natura: Preprint
Pubblicazione: 2024
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author Yamilov, Alexey
Cao, Hui
Skipetrov, Sergey E.
author_facet Yamilov, Alexey
Cao, Hui
Skipetrov, Sergey E.
contents We study Anderson transition for light in three dimensions by performing large-scale ab-initio simulations of electromagnetic wave transport in disordered ensembles of conducting spheres. A mobility edge that separates diffusive transport and Anderson localization is identified, revealing a sharp transition from diffusion to localization for light. Critical behavior in the vicinity of the mobility edge is well described by a single-parameter scaling law. The critical exponent is found to be consistent with the value known for the Anderson transition of the orthogonal universality class. Statistical distribution of total transmission at the mobility edge is described without any fit parameter by the diagrammatic perturbation theory originally developed for scalar wave diffusion, but notable deviation from the theory is found when Anderson localization sets in.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04853
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anderson transition for light in three dimensions
Yamilov, Alexey
Cao, Hui
Skipetrov, Sergey E.
Optics
Disordered Systems and Neural Networks
We study Anderson transition for light in three dimensions by performing large-scale ab-initio simulations of electromagnetic wave transport in disordered ensembles of conducting spheres. A mobility edge that separates diffusive transport and Anderson localization is identified, revealing a sharp transition from diffusion to localization for light. Critical behavior in the vicinity of the mobility edge is well described by a single-parameter scaling law. The critical exponent is found to be consistent with the value known for the Anderson transition of the orthogonal universality class. Statistical distribution of total transmission at the mobility edge is described without any fit parameter by the diagrammatic perturbation theory originally developed for scalar wave diffusion, but notable deviation from the theory is found when Anderson localization sets in.
title Anderson transition for light in three dimensions
topic Optics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2408.04853