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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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. © 2010 SPIE.

Original languageEnglish
Title of host publicationInterferometry XV: Techniques and Analysis
Volume7790
DOIs
Publication statusPublished - 2010
EventInterferometry XV: Techniques and Analysis - San Diego, CA, United States
Duration: 2 Aug 20104 Aug 2010

Conference

ConferenceInterferometry XV: Techniques and Analysis
CountryUnited States
CitySan Diego, CA
Period2/08/104/08/10

Fingerprint

probability density functions
statistics
polarization
interferometry

Keywords

  • Derivatives of Stokes parameters
  • Polarization speckle
  • Random polarization states

Cite this

Zhang, S., Roulleau, P., Matsuda, A., Takeda, M., & Wang, W. (2010). Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle. In Interferometry XV: Techniques and Analysis (Vol. 7790) https://doi.org/10.1117/12.861608
Zhang, Shun ; Roulleau, Paul ; Matsuda, Akihiro ; Takeda, Mitsuo ; Wang, Wei. / Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle. Interferometry XV: Techniques and Analysis. Vol. 7790 2010.
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Zhang, S, Roulleau, P, Matsuda, A, Takeda, M & Wang, W 2010, Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle. in Interferometry XV: Techniques and Analysis. vol. 7790, Interferometry XV: Techniques and Analysis, San Diego, CA, United States, 2/08/10. https://doi.org/10.1117/12.861608

Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle. / Zhang, Shun; Roulleau, Paul; Matsuda, Akihiro; Takeda, Mitsuo; Wang, Wei.

Interferometry XV: Techniques and Analysis. Vol. 7790 2010.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle

AU - Zhang, Shun

AU - Roulleau, Paul

AU - Matsuda, Akihiro

AU - Takeda, Mitsuo

AU - Wang, Wei

PY - 2010

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N2 - 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. © 2010 SPIE.

AB - 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. © 2010 SPIE.

KW - Derivatives of Stokes parameters

KW - Polarization speckle

KW - Random polarization states

U2 - 10.1117/12.861608

DO - 10.1117/12.861608

M3 - Conference contribution

SN - 9780819482860

VL - 7790

BT - Interferometry XV: Techniques and Analysis

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