Photonic crystal-like scaling behavior of localized Anderson modes in hyperuniform disordered systems

Hyperuniform disordered structures have emerged as a promising photonic platform that bridges the benefits of ordered and disordered structures, offering isotropic photonic band gaps, high spectral mode density, and robustness to imperfections. In this work, we provide direct experimental evidence that Anderson-localized dielectric modes in such systems exhibit spectral scaling behavior analogous to that found in photonic crystals. By systematically varying the filling fraction and length scale of hyperuniform disordered dielectric structures, we observe predictable and rigid spectral shifts in localized mode resonances. Hyperspectral scanning near-field optical microscopy enables simultaneous access to spatial and spectral information, confirming that these modes retain their spatial profiles and localization across scale variations. Our results demonstrate that Anderson localization in hyperuniform disordered systems obeys conventional photonic scaling laws despite the absence of long-range periodicity, while maintaining unique advantages such as isotropy, disorder tolerance and large photonic bandgaps. These findings highlight the potential of hyperuniform disordered materials as scalable and flexible platforms for integrated photonics, cavity quantum electrodynamics, and broadband optical devices.