Wigner rotations and Iwasawa decompositions in polarization optics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 1, 1999, Pages 1036-1041

  Han, D ^a   Kim, Y S ^b   Noz, Marilyn E ^c  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

^b Bldg 142   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001180439     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.1036     Document Type: Article

References (22)

1. D. Han, Y. S. Kim, and M. E. Noz, J. Opt. Soc. Am. A 14, 2290 (1997).
2. D. Han, Y. S. Kim, and M. E. Noz, Phys. Rev. E 56, 6065 (1997).
3. For an earlier discussion of this subject, see C. S. Brown and A. E. Bak, Opt. Eng. (Bellingham) 34, 1625 (1995).
4. D. Han, Y. S. Kim, and D. Son, Class. Quantum Grav. 4, 1777 (1987)
5. D. Han, E. Hardekopf, and Y. S. Kim, Phys. Rev. A 39, 1269 (1989)
6. P. K. Aravind, Am. J. Phys. 65, 634 (1997).
7. R. Y. Chiao and T. F. Jordan, Phys. Lett. A 132, 77 (1988).
8. M. Kitano and T. Yabuzaki, Phys. Lett. A 142, 321 (1989).
9. Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991).
10. K. Iwasawa, Ann. Math. 50, 507 (1949)
11. R. Hermann, Lie Groups for Physicists (Benjamin, New York, 1966).
12. R. Simon and N. Mukunda, J. Opt. Soc. Am. 15, 2146 (1998).
13. E. P. Wigner, Ann. Math. 40, 149 (1939).
14. Y. S. Kim and M. E. Noz, Theory and Applications of the Poincaré Group (Reidel, Dordrecht, 1986).
15. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).
16. For a similar calculation for Lorentz transformations, see D. Han, Y. S. Kim, and D. Son, J. Math. Phys. 27, 2228 (1986).
17. Y. S. Kim and L. Yeh, J. Math Phys. 33, 1237 (1992).
18. G. A. Garret, A. G. Rojo, A. K. Sood, J. F. Whitaker, and R. Merlin, Science 275, 1638 (1997).
19. Y. S. Kim and E. P. Wigner, Am. J. Phys. 58, 439 (1990).
20. S. Weinberg, Phys. Rev. 134, B882 (1964)
21. Phys. Rev.S. Weinberg135, B1049 (1964).
22. D. Han, Y. S. Kim, and D. Son, Phys. Rev. D 26, 3717 (1982).