Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle

Shun Zhang; Paul Roulleau; Akihiro Matsuda; Mitsuo Takeda; Wei Wang

doi:10.1117/12.861608

2 August 2010 Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle

Shun Zhang, Paul Roulleau, Akihiro Matsuda, Mitsuo Takeda, Wei Wang

Author Affiliations +

Proceedings Volume 7790, Interferometry XV: Techniques and Analysis; 77900N (2010) https://doi.org/10.1117/12.861608
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

The statistical properties of the spatial derivatives of the Stokes parameters for polarization speckle are investigated theoretically and experimentally. Based on the Gaussian assumption, the six-dimensional joint probability density function (p.d.f) for the derivatives of the Stokes parameters (S₁, S₂, and S₃) are all derived analytically for the first time. Subsequently, three two-dimensional p.d.f of derivatives for each Stokes parameters and the corresponding six marginal p.d.f are also given. Based on polar-interferometry, experiments have also been conducted to demonstrate the validity of the principle.

Citation Download Citation

Shun Zhang, Paul Roulleau, Akihiro Matsuda, Mitsuo Takeda, and Wei Wang "Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle", Proc. SPIE 7790, Interferometry XV: Techniques and Analysis, 77900N (2 August 2010); https://doi.org/10.1117/12.861608

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