Characteristic properties of mueller matrices

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 2, 2000, Pages 328-334

  Gil, José J ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; OPTICS; THEORETICAL MODEL;

MODELS, THEORETICAL; OPTICS;

EID: 0034131934     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.000328     Document Type: Article

References (41)

1. S. R. Cloude, “Group theory and polarisation algebra,” Optik 75, 26-36 (1986).
2. R. Barakat, “Conditions for the physical realizability of polarization matrices characterizing passive systems,” J. Mod. Opt. 34, 1535-1544 (1987).
3. C. R. Givens and A. B. Kostinski, “A simple necessary and sufficient condition for the physical realizability of Mueller matrices,” J. Mod. Opt. 40, 471-481 (1993).
4. C. V. M. van der Mee, “An eigenvalue criterion for matrices transforming Stokes parameters,” J. Math. Phys. 34, 5072-5088 (1993).
5. A. V. Gopala and K. S. Mallesh, “On the algebraic characterization of a Mueller matrix in polarization optics. I. Identifying a Mueller matrix from its N matrix,” J. Mod. Opt. 45, 955-987 (1998).
6. A. V. Gopala and K. S. Mallesh, “On the algebraic characterization of a Mueller matrix in polarization optics. II. Necessary and sufficient conditions for Jones-derived Mueller matrices,” J. Mod. Opt. 45, 989-999 (1998).
7. K. Kim, L. Mandel, and E. Wolf, “Relationship between Jones and Mueller matrices for random media,” J. Opt. Soc. Am. A 4, 433-437 (1987).
8. J. J. Gil and E. Bernabeu, “A depolarization criterion in Mueller matrices,” Opt. Acta 32, 259-261 (1985).
9. R. Simon, “Mueller matrices and depolarization criteria,” J. Mod. Opt. 34, 569-575 (1987).
10. C. Brosseau, C. R. Givens, and A. B. Kostinski, “Generalized trace condition on the Mueller-Jones polarization matrix,” J. Opt. Soc. Am. A 10, 2248-2251 (1993).
11. R. Simon, “Nondepolarizing systems and degree of polarization,” Opt. Commun. 77, 349-354 (1990).
12. B. Chakraborty, “Depolarizing effect of propagation of a polarized polychromatic beam through an optically active medium: A generalized study,” J. Opt. Soc. Am. A 3, 1422-1427 (1986).
13. N. G. Parke, III, “Matrix optics,” Ph.D. dissertation (Massachusetts Institute of Technology, Cambridge, Mass., 1948).
14. E. L. O’Neill, Statistical Optics (Addison-Wesley, Reading, Mass., 1963).
15. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977).
16. E. Wolf, “Coherence properties of partially polarized electromagnetic radiation,” Nuovo Cimento 13, 1165-1181 (1959).
17. R. Barakat, “The statistical properties of partially polarized light,” Opt. Acta 32, 295-312 (1985).
18. R. Barakat, “Theory of the coherency matrix for light of arbitrary spectral bandwidth,” J. Opt. Soc. Am. 53, 317-323 (1963).
19. U. Fano, “A Stokes-parameter technique for the treatment of polarization in quantum mechanics,” Phys. Rev. 93, 121-123 (1953).
20. R. C. Jones, “A new calculus for the treatment of optical systems. IV,” J. Opt. Soc. Am. 32, 486-493 (1942).
21. C. Brosseau and R. Barakat, “Jones and Mueller polarization matrices for random media,” Opt. Commun. 84, 127-132 (1991).
22. S.-Y. Lu and R. A. Chipman, “Homogeneous and inhomogeneous Jones matrices,” J. Opt. Soc. Am. A 11, 766-773 (1994).
23. A. B. Kostinski and R. C. Givens, “On the gain of a passive linear depolarizing system,” J. Mod. Opt. 39, 1947-1952 (1992).
24. J. J. Gil and E. Bernabeu, “Obtainment of the polarizing and retardation parameters of a non-depolarizing optical system from its Mueller matrix,” Optik 76, 67-71 (1987).
25. R. Simon, “The connection between Mueller and Jones matrices of polarization optics,” Opt. Commun. 42, 293-297 (1982).
26. D. G. M. Anderson and R. Barakat, “Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix,” J. Opt. Soc. Am. A 11, 2305-2319 (1994).
27. S. R. Cloude and E. Pottier, “Concept of polarization entropy in optical scattering,” Opt. Eng. 34, 1599-1610 (1995).
28. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge U. Press, Cambridge, UK, 1985), p. 404.
29. Z. Sekera, “Scattering matrices and reciprocity relationships for various representations of the state of polarization,” J. Opt. Soc. Am. 56, 1732-1740 (1966).
30. P. S. Theocaris and E. E. Gdoutos, Matrix Theory of Photoelasticity (Springer-Verlag, Berlin, 1979), Chap. 4.
31. K. D. Abhyankar and A. L. Fymat, “Relations between the elements of the phase matrix for scattering,” J. Math Phys. 10, 1935-1938 (1969).
32. E. S. Fry and G. W. Kattawar, “Relationships between the elements of the Stokes matrix,” Appl. Opt. 20, 3428-3435 (1981).
33. J. W. Hovenier, H. C. van de Hulst, and C. V. M. Van derMee, “Conditions for the elements of the scattering matrix,” Astron. Astrophys. 157, 301-310 (1986).
34. J. W. Hovenier, “Structure of a general pure Mueller matrix,” Appl. Opt. 33, 8318-8324 (1994).
35. H. Takenaka, “A unified formalism for polarization optics by using group theory,” Nouv. Rev. Opt. 4, 37-41 (1973).
36. R. Barakat, “Bilinear constraints between elements of the 4 × 4 Mueller-Jones transfer matrix of polarization theory,” Opt. Commun. 38, 159-161 (1981).
37. A. B. Kostinski, C. R. Givens, and J. M. Kwiatkowski, “Constraints on Mueller matrices of polarization optics,” Appl. Opt. 32, 1646-1651 (1993).
38. C. Brosseau, “Mueller matrix analysis of light depolarization by a linear optical medium,” Opt. Commun. 131, 229- 235 (1996).
39. M. S. Kumar and R. Simon, “Characterization of Mueller matrices in polarization optics,” Opt. Commun. 11, 2305- 2319 (1994).
40. R. Sridhar and R. Simon, “Normal form for Mueller matrices in polarization optics,” J. Mod. Opt. 41, 1903-1915 (1994).
41. J. J. Gil and E. Bernabeu, “Depolarization and polarization indices of an optical system,” Opt. Acta 33, 185-189 (1986).