  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.
