Complementary Speckle Patterns : deterministic interchange of intrinsic vortices and maxima through Scattering Media

Abstract

Intensity minima and maxima of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge $\pm 1$ to the impinging coherent beam. This transform arises from the intuitive expectation that a tightly focused beam is so-changed into a vortex beam 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 $\sqrt{3}$. A cyclic permutation of optical vortices and maxima is unexpectedly observed and discussed.

9 pages, 9 figures

References in corpus (6)

• Measuring the Transmission Matrix in Optics : An Approach to the Study and Control of Light Propagation in Disordered Media
• Non-invasive real-time imaging through scattering layers and around corners via speckle correlations
• Characterization of the angular memory effect of scattered light in biological tissues
• Transport through modes in random media
• Imaging blood cells through scattering biological tissue using speckle scanning microscopy
• Improving visibility in photoacoustic imaging using dynamic speckle illumination

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