Optimization of retardance for a complete Stokes polarimeter

Sabatke, Derek; Descour, Michael R.; Dereniak, Eustace L.; Sweatt, William C.; Kemme, Shanalyn A.; Phipps, G. S.

doi:10.1364/ol.25.000802

Cited by 323 publications

(273 citation statements)

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“…In order to optimize the design of polarimeters it is very important to determine the sensitivity of the linear solution to experimental errors in the measurements. With the aim of minimizing the noise transmitted through the matrix inversion from the vector I to the solution S, in this work we compare three different indicators: the condition number (CN) [18], the Equally Weighted Variance (EWV) [7] and the error associated at every component of the Stokes vector [14]. Whereas the CN quantifies if the matrix A −1 is well-conditioned (i.e.…”

Section: Polarimeter Mathematical Description and Optimization Criteriamentioning

confidence: 99%

“…In this sense, some particular polarimeters based on passive polarizing elements are reported in the literature, as for instance in Ref [7], where a complete Stokes polarimeter based on a fixed polarizer and a rotating waveplate with a fixed retardance is presented. This type of polarimeters can be very accurate because they generate redundant information which may be used to diminish the influence of different noise sources.…”

Section: Introductionmentioning

confidence: 99%

“…In order to diminish the effect of noise in the final measurements, some studies have been carried out [7,[13][14][15][16][17]. For instance, different indicators as the condition number (CN) [18] or the equally weighted variance (EWV) [7] have been used in optimization procedures.…”

Section: Introductionmentioning

confidence: 99%

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Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Peinado¹,

Lizana²,

Vidal³

et al. 2010

Opt. Express

109

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Abstract:In this paper we present the analysis, optimization and implementation of several Stokes polarimeter configurations based on a setup including two variable retarders. The polarimeter analysis is based on the Mueller-Stokes formalism, and as a consequence, it is suitable to deal with depolarized light. Complete Stokes polarimeters are optimized by minimizing the amplification of simulated errors into the final solution. Different indicators useful to achieve this aim, as the condition number or the equally weighted variance, are compared in this paper. Moreover, some of the optimized polarimeters are experimentally implemented and it is studied the influence of small deviations from the theoretical ones on the amplification of the Stokes component error. In addition, the benefit of using incomplete polarimeters, when detecting specific ranges of states of polarization, is discussed.

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Section: Polarimeter Mathematical Description and Optimization Criteriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Peinado¹,

Lizana²,

Vidal³

et al. 2010

Opt. Express

109

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“…For VR systems with f 2 45 ± , optimal configurations exist for 227 ± , f 1 , 27 ± . The minimization procedure performed here is equivalent to that performed by Sabatke et al,7 for which the total noise power (summed over all Stokes parameter images) was minimized for rotating compensator polarimeters. Ambirajan and Look 6 considered the L 1 and L`condition numbers and the magnitude of the determinant in optimizing rotating quarter-wave-plate systems.…”

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confidence: 99%

Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters

Tyo¹

2000

Opt. Lett.

151

104

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“…Retarders of almost any retardation value may be used, however the intensity modulation that results with quarter wave retarders contains null points so the modulation is deeper. Sabatke et al 5 and Tyo 6 have shown that retarders having retardance of approximately 132° are optimal in terms of signal-to-noise and insensitivity to element misalignment, but retarders with this value do not yet have off-the-shelf availability. The Mueller matrix for the system is P 2 R 2 (θ)MR 1 P 1 (1) where P indicates a linear polarizer, R(θ) indicates an orientation-dependent linear retarder, and M represents the sample Mueller matrix.…”

Section: Dual Rotating Retarder Mueller Matrix Polarimetermentioning

confidence: 99%

Monostatic Mueller matrix laser reflectometer

Goldstein

2005

SPIE Proceedings

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information , 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. 2005. This work has been submitted for publication in the Proceedings of SPIE Volume 5888. The author is a U.S. Government employee; therefore, the U.S. Government is owner of the work. SPIE will assert copyright for the proceedings volume within which this paper is published. Nevertheless, the United States has for itself and others acting on its behalf an unlimited, nonexclusive, irrevocable, paid-up, royalty-free worldwide license to use for its purposes. REPORT DATE (DD-MM-YYYY) 03-08-2005 REPORT TYPE Conference Paper DATES COVERED (From -To) TITLE AND SUBTITLE Monostatic ABSTRACTAn instrument is described that operates as a true monostatic reflectometer. The instrument collects complete polarimetric information as well as reflectance. A beamsplitter at 45º to the incident and reflected beam allows monostatic operation. Complete polarimetric information in the form of Mueller matrices are measured by using a polarization state generator prior to the sample and a polarization state analyzer after reflection from the sample and beamsplitter. This Mueller matrix polarimeter is in the dual rotating retarder configuration. Two lasers currently serve as sources. The hardware and data reduction methods are discussed, and measurement results are given. SUBJECT TERMSMueller matrix, reflectometer, polarized light, polarimeter. 30-06-1998; xx-06-1998-, xx-xx-1998. PERFORMING ORGANIZATION REPORT NUMBER.Enter all unique alphanumeric report numbers assigned by the performing organization, e.g. BRL-1234; AFWL-TR-85-4017-Vol-21-PT-2. REPORT TYPE.State the type of report, such as final, technical, interim, memorandum, master's thesis, progress, quarterly, research, special, group study, etc. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES).Enter the name and address of the organization(s) financially responsible for and monitoring the work. DATES COVERED.Indicate the time during which the work was performed and the report was written, e.g., Jun 1997 -Jun 1998; 1-10 Jun 1996; May -Nov 1998; Nov 1998. SPONSOR/MONITOR'S ACRONYM(S).Enter, if available, e.g. BRL, ARDEC, NADC. SPONSOR/MONITOR'S REPORT NUMBER(S).Enter report number as assigned by the sponsoring/...

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Optimization of retardance for a complete Stokes polarimeter

Cited by 323 publications

References 10 publications

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Optimization and performance criteria of a Stokes polarimeter based on two variable retarders

Noise equalization in Stokes parameter images obtained by use of variable-retardance polarimeters

Monostatic Mueller matrix laser reflectometer

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