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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 6 — Mar. 15, 2012
  • pp: 1097–1099

Role of the null space of the DRM in the performance of modulated polarimeters

Charles F. LaCasse, J. Scott Tyo, and Russell A. Chipman  »View Author Affiliations


Optics Letters, Vol. 37, Issue 6, pp. 1097-1099 (2012)
http://dx.doi.org/10.1364/OL.37.001097


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Abstract

Imaging polarimeters infer the spatial distribution of the polarization state of the optical field as a function of time and/or wavelength. A polarimeter indirectly determines the polarization state by first modulating the intensity of the light field and then demodulating the measured data to infer the polarization parameters. This Letter considers passive Stokes parameter polarimeters and their inversion methods. The most widely used method is the data reduction matrix (DRM), which builds up a matrix equation that can be inverted to find the polarization state from a set of intensity measurements. An alternate strategy uses linear system formulations that allow band limited reconstruction through a filtering perspective. Here we compare these two strategies for overdetermined polarimeters and find that design of the null space of the inversion operator provides degrees of freedom to optimize the trade off between accuracy and signal-to-noise ratio. We further describe adaptive filtering techniques that could optimize the reconstruction for a particular experimental configuration. This Letter considers time-varying Stokes parameters, but the methods apply equally to polarimeters that are modulated in space or in wavelength.

© 2012 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(110.5405) Imaging systems : Polarimetric imaging

ToC Category:
Imaging Systems

History
Original Manuscript: November 15, 2011
Revised Manuscript: February 13, 2012
Manuscript Accepted: February 14, 2012
Published: March 14, 2012

Citation
Charles F. LaCasse, J. Scott Tyo, and Russell A. Chipman, "Role of the null space of the DRM in the performance of modulated polarimeters," Opt. Lett. 37, 1097-1099 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-6-1097


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References

  1. C. F. LaCasse, R. A. Chipman, and J. S. Tyo, Opt. Express 19, 14976 (2011). [CrossRef]
  2. R. A. Chipman, in Handbook of Optics, Vol. 2, M. Bass, ed. (McGraw-Hill, 1995).
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  10. C. F. LaCasse, J. S. Tyo, and R. A. Chipman, in Proceedings of IEEE Aerospace Conference (IEEE, to be published).
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