OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 533–537

Physical significance of experimental Mueller matrices

E. Landi Degl’Innocenti and J. C. del Toro Iniesta  »View Author Affiliations


JOSA A, Vol. 15, Issue 2, pp. 533-537 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000533


View Full Text Article

Enhanced HTML    Acrobat PDF (242 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The recent result obtained by GivensKostinski [J. Mod. Opt. 40, 471 (1993)] successfully solves the old and important problem in polarization optics of characterizing a given 4×4 matrix as a Mueller matrix from a mathematical point of view. For practical purposes, however, a further elaboration on this result is needed, namely, the problem of characterizing a matrix whose elements have been empirically obtained after the measurement of a given number of independent quantities that are affected by errors. We solve this problem by first obtaining an alternative form of the Givens–Kostinski theorem that allows us to figure out an algorithm for calculating the error propagation. It turns out that the experimental matrix can be finally regarded as physically meaningful or not, or even undecidable, depending on such errors. As a tool for potential users, a routine (in both fortran and idl languages) that carries out all the numerical calculations is available via ftp at a specified address.

© 1998 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(220.4830) Optical design and fabrication : Systems design
(230.5440) Optical devices : Polarization-selective devices
(260.5430) Physical optics : Polarization

History
Original Manuscript: January 31, 1997
Revised Manuscript: September 19, 1997
Manuscript Accepted: September 25, 1997
Published: February 1, 1998

Citation
E. Landi Degl’Innocenti and J. C. del Toro Iniesta, "Physical significance of experimental Mueller matrices," J. Opt. Soc. Am. A 15, 533-537 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-2-533


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. R. Givens, A. Kostinski, “A simple necessary and sufficient condition on physically realizable Mueller matrices,” J. Mod. Opt. 40, 471–481 (1993). [CrossRef]
  2. S. Sridhar, R. Simon, “Normal form for Mueller matrices,” J. Mod. Opt. 41, 1903–1915 (1994). [CrossRef]
  3. M. Sanjay Kumar, R. Simon, “Characterization of Mueller matrices in polarization optics,” Opt. Commun. 88, 464–470 (1992). [CrossRef]
  4. C. V. M. van der Mee, J. W. Hovenier, “Structure of matrices transforming Stokes parameters,” J. Math. Phys. (N.Y.), 33, 3574–3584 (1992). [CrossRef]
  5. A. Kostinski, B. James, W.-M. Boemer, “Optimal reception of partially polarized waves,” J. Opt. Soc. Am. A 5, 58–64 (1988). [CrossRef]
  6. B. J. Howell, “Measurement of the polarization effects of an instrument using partially polarized light,” Appl. Opt. 18, 809–812 (1979). [CrossRef] [PubMed]
  7. J. Cariou, B. Le Jeune, J. Lotran, Y. Guern, “Polarization effects of seawater and underwater targets,” Appl. Opt. 29, 1689–1695 (1990). [CrossRef] [PubMed]
  8. J. van Zyl, C. Papas, C. Elachi, “On the optimum polarizations of incoherently reflected waves,” IEEE Trans. Antennas Propag. AP-35, 818–825 (1987). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited