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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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  1. G. Herzberg, Atomic Spectra and Atomic Structure (Dover, 1945).
  2. D. K. Hore, A. L. Natansohn, P. L. Rochon, “Optical anisotropy as a probe of structural order by Stokes polarimetry,” J. Phys. Chem. B 106, 9004–9012 (2002). [CrossRef]
  3. R. M.A. Azzam, N. M. Bashara, Ellipsometry and Polarized Light (Elsevier, 1987).
  4. J. Trujillo-Bueno, F. Moreno-Insertis, and F. Sánchez, eds., Astrophysical Spectropolarimetry (Cambridge U. Press, 2002).
  5. P.-Y. Gerligand, M. H. Smith, R. A. Chipman, “Polarimetric images of a cone,” Opt. Express 4, 420–430 (1999). [CrossRef] [PubMed]
  6. F. Cremer, W. de Jong, K. Schutte, “Infrared polarization measurements and modeling applied to surface-laid antipersonnel landmines,” Opt. Eng. (Bellingham) 41, 1021–1032 (2002). [CrossRef]
  7. B. K. Ford, M. R. Descour, R. M. Lynch, “Large-image-format computed tomography imaging spectrometer for fluorescence microscopy,” Opt. Express 9, 444–453 (2001). [CrossRef] [PubMed]
  8. C. Bowd, L. M. Zangwill, E. Z. Blumenthal, C. Vasile, A. G. Boehm, P. A. Gokhale, K. Mohammadi, P. Amini, T. M. Sankary, R. N. Weinreb, “Imaging of the optic disc and retinal nerve fiber layer: the effects of age, optic disc area, refractive error, and gender,” J. Opt. Soc. Am. A 19, 197–207 (2002). [CrossRef]
  9. J. W. Dally, Experimental Stress Analysis, 3rd ed. (McGraw-Hill, 1991).
  10. B. Henderson, “Optical spectrometers,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), Vol. 2, pp. 20.1–20.32.
  11. B. Henderson, “Spectroscopic measurements,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), pp. 28.1–28.27.
  12. J. M. Bennett, “Polarizers,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), pp. 3.1–3.70.
  13. R. A. Chipman, “Polarimetry,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), pp. 22.1–22.37.
  14. R. M.A. Azzam, “Ellipsometry,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), pp. 27.1–27.27.
  15. D. S. Sabatke, A. M. Locke, E. L. Dereniak, R. W. McMillan, “Linear calibration and reconstruction techniques for channeled spectropolarimetry,” Opt. Express 11, 2940–2952 (2003). [CrossRef] [PubMed]
  16. T. Kato, K. Oka, T. Tanaka, Y. Otsuka, “Measurement of the spectral distribution of polarization based on frequency domain interferometry,” in Proceedings of the Hokkaido Branch of the Japan Society of Applied Physics Vol. 34, p. 41 (1998) (in Japanese).
  17. F. J. Iannarilli, S. H. Jones, H. E. Scott, P. Kebabian, “Polarimetric-spectral intensity modulation (P-SIM): enabling simultaneous hyperspectral and polarimetric imaging,” in Infrared Technology and Applications XXV, B. F. Andresen and M. Strojnik, eds., Proc. SPIE3698, 474–481 (1999). [CrossRef]
  18. F. J. Iannarilli, J. A. Shaw, S. H. Jones, H. E. Scott, “Snapshot LWIR hyperspectral polarimetric imager for ocean surface sensing,” in Polarization Analysis, Measurement, and Remote Sensing III, D. B. Chenault, M. J. Duggin, W. G. Egan, and D. H. Goldstein, eds., Proc. SPIE4133, 270–283 (2000).
  19. K. Oka, T. Kato, “Spectroscopic polarimetry with a channeled spectrum,” Opt. Lett. 24, 1475–1477 (1999). [CrossRef]
  20. D. S. Sabatke, A. M. Locke, M. R. Descour, E. L. Dereniak, J. P. Garcia, T. K. Hamilton, R. W. McMillan, “Analysis of channeled spectropolarimetry using singular value decomposition,” in Polarization Analysis, Measurement, and Remote Sensing IV, D. H. Goldstein, D. B. Chenault, W. G. Egan, and M. J. Duggin, eds., Proc. SPIE4481, 73–80 (2001).
  21. D. Sabatke, A. Locke, E. L. Dereniak, M. Descour, J. Garcia, T. Hamilton, R. W. McMillan, “Snapshot imaging spectropolarimeter,” Opt. Eng. (Bellingham) 41, 1048–1054 (2002). [CrossRef]
  22. D. S. Sabatke, “Snapshot spectropolarimetry,” Ph.D. dissertation (University of Arizona, Tucson, 2002), available from UMI Dissertation Services, Ann Arbor, Michigan.
  23. H. H. Barrett, K. J. Meyers, Foundations of Image Science (Wiley, 2004).
  24. G. H. Golub, C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins U. Press, 1996).
  25. J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, 1978).
  26. W. J. Tropf, M. E. Thomas, T. J. Harris, “Properties of crystals and glasses,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), pp. 33.1–33.101.
  27. G. Strang, Linear Algebra and Its Applications, 3rd ed. (Saunders, 1988).
  28. J. S. Tyo, “Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error,” Appl. Opt. 41, 619–630 (2002). [CrossRef] [PubMed]

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