Truncated singular value decomposition method for calibrating a Stokes Polarimeter

Bruno Boulbry, Jessica C. Ramella-Roman, Thomas A. Germer

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

Abstract

We present a method for calibrating Polarimeters that uses a set of well-characterized reference polarizations and makes no assumptions about the optics contained in the Polarimeter other than their linearity. The method requires that a matrix be constructed that contains the data acquired for each of the reference polarization states and that this matrix be pseudo-inverted. Since this matrix is usually singular, we improve the method by performing the pseudo-inversion by singular value decomposition, keeping only the four largest singular values. We demonstrate the calibration technique using an imaging Polarimeter based upon liquid crystal variable retarders and with light emitting diode (LED) illumination centered at 472 nm, 525 nm, and 630 nm. We generate the reference polarizations by an unpolarized source, a single polarizer, and a Fresnel rhomb. This method is particularly useful when calibrations are performed on field-grade instruments at a centrally maintained facility and when a traceability chain needs to be maintained.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume6682
DOIs
StatePublished - 2007
Externally publishedYes
EventPolarization Science and Remote Sensing III - San Diego, CA, United States
Duration: Aug 29 2007Aug 30 2007

Other

OtherPolarization Science and Remote Sensing III
CountryUnited States
CitySan Diego, CA
Period8/29/078/30/07

Fingerprint

Polarimeters
polarimeters
Singular value decomposition
calibrating
Polarization
decomposition
polarization
matrices
Calibration
retarders
polarizers
Liquid crystals
linearity
Light emitting diodes
grade
Optics
light emitting diodes
Lighting
illumination
liquid crystals

Keywords

  • Calibration
  • Polarimetry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Boulbry, B., Ramella-Roman, J. C., & Germer, T. A. (2007). Truncated singular value decomposition method for calibrating a Stokes Polarimeter. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 6682). [66820M] https://doi.org/10.1117/12.734452

Truncated singular value decomposition method for calibrating a Stokes Polarimeter. / Boulbry, Bruno; Ramella-Roman, Jessica C.; Germer, Thomas A.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6682 2007. 66820M.

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

Boulbry, B, Ramella-Roman, JC & Germer, TA 2007, Truncated singular value decomposition method for calibrating a Stokes Polarimeter. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 6682, 66820M, Polarization Science and Remote Sensing III, San Diego, CA, United States, 8/29/07. https://doi.org/10.1117/12.734452
Boulbry B, Ramella-Roman JC, Germer TA. Truncated singular value decomposition method for calibrating a Stokes Polarimeter. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6682. 2007. 66820M https://doi.org/10.1117/12.734452
Boulbry, Bruno ; Ramella-Roman, Jessica C. ; Germer, Thomas A. / Truncated singular value decomposition method for calibrating a Stokes Polarimeter. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6682 2007.
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