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

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

School of Engineering & Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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 language	English
Title of host publication	Interferometry XV: Techniques and Analysis
Volume	7790
DOIs	https://doi.org/10.1117/12.861608
Publication status	Published - 2010
Event	Interferometry XV: Techniques and Analysis - San Diego, CA, United States Duration: 2 Aug 2010 → 4 Aug 2010

Conference

Conference	Interferometry XV: Techniques and Analysis
Country/Territory	United States
City	San Diego, CA
Period	2/08/10 → 4/08/10

Keywords

Derivatives of Stokes parameters
Polarization speckle
Random polarization states

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10.1117/12.861608

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@inproceedings{1aa9618020f845948e6756338dbe5203,

title = "Theoretical and experimental investigation of statistics of spatial derivatives of Stokes parameters for polarization speckle",

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. {\textcopyright} 2010 SPIE.",

keywords = "Derivatives of Stokes parameters, Polarization speckle, Random polarization states",

author = "Shun Zhang and Paul Roulleau and Akihiro Matsuda and Mitsuo Takeda and Wei Wang",

year = "2010",

doi = "10.1117/12.861608",

language = "English",

isbn = "9780819482860",

volume = "7790",

booktitle = "Interferometry XV: Techniques and Analysis",

note = "Interferometry XV: Techniques and Analysis ; Conference date: 02-08-2010 Through 04-08-2010",

}

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

Y1 - 2010

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

T2 - Interferometry XV: Techniques and Analysis

Y2 - 2 August 2010 through 4 August 2010

ER -

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

Abstract

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Keywords

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