Complementary speckle patterns: deterministic interchange of intrincic vortices and maxima throuhg 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 AE1 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 ffiffi ffi 3 p. A cyclic permutation of optical vortices and intensity maxima is unexpectedly observed and discussed.
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Jérôme Gateau, Hervé Rigneault, Marc Guillon. Complementary speckle patterns: deterministic interchange of intrincic vortices and maxima throuhg scattering media. Physical Review Letters, American Physical Society, 2017, 118 (4), pp. 043903. ⟨10.1103/PhysRevLett.118.043903⟩. ⟨hal-01450021⟩

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