Abstract

Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patterns 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.

Highlights

  • Disorder [1] is generally considered detrimental for imaging or optical information transport, complex systems can disclose extraordinary physical properties, allowing the confinement of light [2], and enabling high resolution imaging techniques [3].The task of driving light at the nanoscale is usually fulfilled by homogeneous waveguides or photonic crystals supporting a band gap [4]: completely ordered structures which allow to tailor the light flow

  • The Amorphous Speckle Patterns (ASP) are a kind of light structures with a shortrange correlated light arrangement constructed from random components residing on a fixed ring in momentum space, they correspond to a superposition of Bessel modes that lends the pattern the self-healing nature [14, 22,23,24,25], an advantageous property for enhancing optical imaging in thick tissues [22, 24]

  • The ASP emerges from the superposition of Bessel beams and always exhibits hyperuniformity in its speckle grain distribution

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Summary

Introduction

Disorder [1] is generally considered detrimental for imaging or optical information transport, complex systems can disclose extraordinary physical properties, allowing the confinement of light [2], and enabling high resolution imaging techniques [3].The task of driving light at the nanoscale is usually fulfilled by homogeneous waveguides or photonic crystals supporting a band gap [4]: completely ordered structures which allow to tailor the light flow. The Amorphous Speckle Patterns (ASP) are a kind of light structures with a shortrange correlated light arrangement constructed from random components residing on a fixed ring in momentum space, they correspond to a superposition of Bessel modes that lends the pattern the self-healing nature [14, 22,23,24,25], an advantageous property for enhancing optical imaging in thick tissues [22, 24] Besides that, those specular features are labeled as “amorphous” for exhibiting a non-crystalline order, a property that has made them usable for the formation of amorphous photonic lattices in photorefractive crystals [23, 25] or photolithography [26]. For these reasons ASPs are attracting large interest in the field of Optics and Photonics

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