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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 8 — Aug. 1, 2005
  • pp: 1567–1576

Linear operator theory of channeled spectropolarimetry

Derek S. Sabatke, Ann M. Locke, Eustace L. Dereniak, and Robert W. McMillan  »View Author Affiliations


JOSA A, Vol. 22, Issue 8, pp. 1567-1576 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001567


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Abstract

Channeled spectropolarimetry is a snapshot method of measuring the spectral and polarization content of light. Wave-number domain amplitude modulation is employed to encode all four Stokes component spectra into a single optical power spectrum. We model the channeled spectropolarimeter as a linear operator, which facilitates treatment of nonideal effects and provides a convenient framework for simulations, calibration, and reconstruction. The operator’s singular value decomposition is treated with analytic and computational approaches. This analysis highlights the importance of the choice of object space in constraining and imparting prior knowledge to linear reconstructions of data from underdetermined systems.

© 2005 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(300.6190) Spectroscopy : Spectrometers

History
Original Manuscript: July 12, 2004
Manuscript Accepted: December 16, 2004
Published: August 1, 2005

Citation
Derek S. Sabatke, Ann M. Locke, Robert W. McMillan, and Eustace L. Dereniak, "Linear operator theory of channeled spectropolarimetry," J. Opt. Soc. Am. A 22, 1567-1576 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-8-1567

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