Hyperuniformity in amorphous speckle patterns
Diego Di Battista, Daniele Ancora, Giannis Zacharakis, Giancarlo, Ruocco, and Marco Leonetti

TL;DR
This paper demonstrates a novel experimental method to generate hyperuniform speckle patterns using superpositions of Bessel beams and spatial filtering, enabling hyperuniform scalar fields without computational design.
Contribution
The authors introduce an experimental approach to produce hyperuniform speckle patterns via Bessel beam superpositions and spatial filtering, bypassing complex computational methods.
Findings
Successfully generated hyperuniform speckle patterns experimentally.
Retrieved hyperuniform intensity profiles through filtering out fluctuations.
Supported results with extensive numerical simulations.
Abstract
Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patters obtained by a superposition of randomly arranged sources of Bessel beams can be used to generate hyperunifrom scalar fields. By exploiting laser light tailored with a spatial filter, we experimentally produce (without requiring any computational power) a speckle pattern possessing maxima at locations corresponding to a hyperuniform distribution. By properly filtering out intensity fluctuation from the same speckle pattern, it is possible to retrieve an intensity profile satisfying the hyperuniformity requirements. Our findings are supported by extensive numerical simulations.
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