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

  • Editor: Franco Gori
  • Vol. 27, Iss. 6 — Jun. 1, 2010
  • pp: 1442–1449

Generalization of the Jones vector-matrix method and the regularity of the Weigert effect for partially polarized light

Barbara Kilosanidze  »View Author Affiliations


JOSA A, Vol. 27, Issue 6, pp. 1442-1449 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001442


View Full Text Article

Enhanced HTML    Acrobat PDF (126 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Generalization of the Jones vector for partially polarized radiation carried out by Kakichashvili is given. Partially polarized light is presented as two noncoherent components of mutually orthogonal polarization. The formal operation of amplitude summation of mutually noncoherent components and the symbol of this operation are introduced. The rules of operating with this symbol are determined. The regularity of the Weigert effect is modified for partial polarization of the inducing light. On this basis the modification of the Jones matrix for partially polarized light is made. The rules for the formation of the resulting matrix from the Jones matrices corresponding to the noncoherent components of partially polarized light are determined.

© 2010 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.0260) Physical optics : Physical optics
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: August 27, 2009
Revised Manuscript: April 14, 2010
Manuscript Accepted: April 15, 2010
Published: May 21, 2010

Citation
Barbara Kilosanidze, "Generalization of the Jones vector-matrix method and the regularity of the Weigert effect for partially polarized light," J. Opt. Soc. Am. A 27, 1442-1449 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-6-1442


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. C. Jones, “A new calculus for the treatment of optical systems: I. Description and discussion of the calculus,” J. Opt. Soc. Am. 31, 488–493 (1941). [CrossRef]
  2. H. Hurwitz, Jr. and R. C. Jones, “New calculus for the treatment of optical systems. II. Proof of three general equivalence theorems,” J. Opt. Soc. Am. 31, 493–500 (1941). [CrossRef]
  3. R. C. Jones, “New calculus for the treatment of optical systems. III. The Sohncke theory of optical activity,” J. Opt. Soc. Am. 31, 500–503 (1941). [CrossRef]
  4. R. C. Jones, “New calculus for the treatment of optical systems. IV,” J. Opt. Soc. Am. 32, 486–493 (1942). [CrossRef]
  5. R. C. Jones, “A new calculus for the treatment of optical systems. V. More general formulation and description of another calculus,” J. Opt. Soc. Am. 37, 107–110 (1947). [CrossRef]
  6. R. C. Jones, “New calculus for the treatment of optical systems. VI. Experimental determination of the matrix,” J. Opt. Soc. Am. 37, 110–112 (1947). [CrossRef]
  7. R. C. Jones, “New calculus for the treatment of optical systems. VII. Properties of the N matrices,” J. Opt. Soc. Am. 38, 671–685 (1948). [CrossRef]
  8. R. C. Jones, “New calculus for the treatment of optical systems: VIII. Electromagnetic theory,” J. Opt. Soc. Am. 46, 126–131 (1956). [CrossRef]
  9. W. A. Shurcliff, Polarized Light (Harvard Univ. Press, 1966).
  10. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).
  11. A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley-Interscience, 1975).
  12. Sh. Kakichashvili, “On polarization recording of holograms,” Opt. Spectrosc. 33, 324–327 (1972).
  13. Sh. Kakichashvili, “Polarization holography,” Usp. Fiz. Nauk 126, 681–683 (1978). [CrossRef]
  14. Sh. Kakichashvili, Polarization Holography (Nauka, 1989).
  15. B. Kilosanidze and G. Kakauridze, “Polarization-holographic gratings for analysis of light: 1. Analysis of completely polarized light,” Appl. Opt. 46, 1040–1049 (2007). [CrossRef] [PubMed]
  16. B. Kilosanidze, G. Kakauridze, L. Margolin, and I. Kobulashvili, “Real-time objects recognition by photoanisotropic copies,” Appl. Opt. 46, 7537–7543 (2007). [CrossRef] [PubMed]
  17. N. Volkenshtein, Molecular Optics (The State Publishing of Technical-Theoretical Literature, Moscow–Leningrad, 1951).
  18. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, 1957).
  19. P. Feofilov, Polarization Luminescence of Atoms, Molecules and Crystals (The State Publishing of Physical and Mathematical Literature, Moscow, 1959).
  20. M. Born and E. Wolf, Principles of Optics, 5th ed. (Pergamon, 1975).
  21. E. L. O’Neill, Introduction to Statistical Optics (Addison-Wesley, 1963).
  22. M. Laue, “Die Entropie von partiell kohärenten Strahlenbündeln,” Ann. Phys. 328, 1–43 (1907). [CrossRef]
  23. M. Laue, “Die Entropie von partiell kohärenten Strahlenbündeln: Nachtrag,” Ann. Phys. 328, 795–797 (1907). [CrossRef]
  24. F. Zernike, “The concept of degree of coherence and its application to optical problems,” Physica (Utrecht) 5, 785–795 (1938). [CrossRef]
  25. D. Gabor, “Light and information,” in Proceedings of the Symposium on Astronomical Optics and Related Subjects (Interscience, 1956), p. 17.
  26. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, 1995).
  27. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge Univ. Press, 2007).
  28. Ph. Réfrégier and F. Goudail, “Kullback relative entropy and characterization of partially polarized optical waves,” J. Opt. Soc. Am. A 23, 671–678 (2006). [CrossRef]
  29. B. DeBoo, J. Sasian, and R. Chipman, “Degree of polarization surfaces and maps for analysis of depolarization,” Opt. Express 12, 4941–4958 (2004). [CrossRef] [PubMed]
  30. R. Chipman, “Depolarization index and the average degree of polarization,” Appl. Opt. 44, 2490–2495 (2005). [CrossRef] [PubMed]
  31. F. Chatelain, J.-Y. Tourneret, M. Roche, and M. Alouini, “Estimating the polarization degree of polarimetric images in coherent illumination using maximum likelihood methods,” J. Opt. Soc. Am. A 26, 1348–1359 (2009). [CrossRef]
  32. P. Yeh, “Extended Jones matrix method,” J. Opt. Soc. Am. 72, 507–513 (1982). [CrossRef]
  33. R. J. Vernon and B. D. Huggins, “Extension of the Jones matrix formalism to reflection problems and magnetic materials,” J. Opt. Soc. Am. 70, 1364–1370 (1980). [CrossRef]
  34. Sh. Kakichashvili, “On modification of the Jones method on a partial polarization of light,” J. Tech. Physics (Russia) 65, 200–204 (1995).
  35. F. Weigert, “Über einen neunen effekt der strahlung in lichtempfindlichen schichten,” Verhandl. Deutsc. Physik. Ges. 21, 479–483 (1919).
  36. H. Zocher and K. Coper, “Über die erzougung Optisher aktivität durch zirkulares Licht,” Z. Phys. Chem. 132, 313–319 (1928).
  37. Sh. Kakichashvili, “On the regularity in polarization phenomenon,” Opt. Spectrosc. 52, 317–322 (1982).
  38. Sh. Kakichashvili, “On the regularity in the phenomena of photoanisotropy and photogyrotropy,” Opt. Spectrosc. 63, 911–917 (1987).
  39. G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers. Definitions, Theorems and Formulas for Reference and Review (McGraw-Hill, 1961). [PubMed]
  40. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  41. Sh. Kakichashvili, “Polarization holographic recording at partial light polarization,” J. Tech. Phys. (USSR) 59, 26–34 (1989).
  42. Sh. Kakichashvili and B. Kilosanidze, “The modification of polarization holographic method for partial polarization of field of electromagnetic waves,” J. Tech. Phys. (Russia) 67, 36–139 (1997).
  43. Sh. Kakichashvili, “An a posteriori experiment in polarization holography,” Opt. Spectrosc. 83, 348–351 (1997).
  44. Sh. Kakichashvili, B. Kilosanidze, and V. Shaverdova, “Anisotropy and gyrotropy of dye mordant pure-yellow induced by linear polarized light,” Opt. Spectrosc. 68, 1309–1312 (1990).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited