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    Signatures of light localization in three-dimensional disordered systems of dielectric particles

    Yevgen Grynko*

    Dustin Siebert

    Jan Sperling

    Jens Förstner

    • BASF Coatings GmbH, Glasuritstraße 1, 48165 Münster, Germany

    • Department of Theoretical Electrical Engineering, Paderborn University, Warburger Str. 100, 33098 Paderborn, Germany

    • Theoretical Quantum Science, Institute for Photonic Quantum Systems, Paderborn University, Warburger Str. 100, 33098 Paderborn, Germany

    • Department of Theoretical Electrical Engineering, Paderborn University, Warburger Str. 100, 33098 Paderborn, Germany

    • *Contact author: yevgen.grynko@gmail.com

    Phys. Rev. B 114, 134203 – Published 15 September, 2026

    DOI: https://doi.org/10.1103/tf5z-jytz

    Abstract

    We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large-scale full-wave simulations. For subwavelength particles with a size parameter kr≈1 and high refractive index contrast, we observe a crossover from diffusion to a regime characterized by nonexponential decay of time-resolved transmission as disorder increases. The corresponding time-dependent diffusion coefficient decreases with time and approaches a t−1 scaling at long times. This dynamical slowdown is accompanied by the emergence of spectrally isolated transmission resonances with Thouless conductance below unity, indicating the dominance of long-lived modes with weak spectral overlap. The late-time near-field maps reveal evolving, nonpropagating clusters of intensity hot spots. Together, the transport, spectral, and near-field signatures provide converging numerical evidence consistent with the onset of Anderson localization of light in three-dimensional disordered dielectric media.

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