title: Complementary Speckle Patterns: Deterministic Interchange of Intrinsic Vortices and Maxima through Scattering Media.
abstract: Intensity maxima and zeros of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge ±1 to the impinging coherent beam. This transform arises from the expectation that tightly focused beams, which have a planar wave front around the focus, are so changed into vortex beams and vice versa. The statistics of extrema locations and the intensity distribution of the so-generated "complementary" patterns are characterized by numerical simulations. It is demonstrated experimentally that the incoherent superposition of the three "complementary speckle patterns" yield a synthetic speckle grain size enlarged by a factor of sqrt[3]. A cyclic permutation of optical vortices and intensity maxima is unexpectedly observed and discussed.
authors.affiliation: Holographic Microscopy Group, Neurophotonics Laboratory, CNRS UMR 8250, Paris Descartes University, Sorbonne Paris Cité, 75006 Paris, France.
authors.forename: Jérôme
authors.initials: J
authors.lastname: Gateau
authors.affiliation: Aix-Marseille University, CNRS, Centrale Marseille, Institut Fresnel UMR 7249, 13013 Marseille, France.
authors.forename: Hervé
authors.initials: H
authors.lastname: Rigneault
authors.affiliation: Wavefront Engineering Microscopy Group, Neurophotonics Laboratory, CNRS UMR 8250, Paris Descartes University, Sorbonne Paris Cité, 75006 Paris, France.
authors.forename: Marc
authors.initials: M
authors.lastname: Guillon