Origin of the thomas rotation that arises in lossless multilayers

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

Volumn 16, Issue 11, 1999, Pages 2786-2792

  Monzon J J ^a   SA Nchez Soto L L ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011714384     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.002786     Document Type: Article

References (34)

1. Y. S. Kim and M. E. Noz, Theory and Applications of the Poincaré Group (Reidel, Dordrecht, The Netherlands, 1986).
2. V. Guillemin and S. Sternberg, Symplectic Techniques in Physics (Cambridge U. Press, London, 1984).
3. J. Sánchez-Mondragón and K. B. Wolf, Lie Methods in Optics, Vol. 250 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1986).
4. K. B. Wolf, Lie Methods in Optics II, Vol. 352 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1989).
5. A. J. Dragt, “Lie algebraic theory of geometrical optics and optical aberrations, ” J. Opt. Soc. Am. 72, 372-379 (1982).
6. K. B. Wolf, “Symmetry in Lie optics, ” Ann. Phys. (New York) 172, 1-25 (1986).
7. J. F. Cariñena and J. Nasarre, “On the symplectic structures arising in geometric optics, ” Fortschr. Phys. 44, 181-198 (1996).
8. A. Perelomov, Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
9. J. M. Vigoureux, “Polynomial formulation of reflection and transmission by stratified planar structures, ” J. Opt. Soc. Am. A 8, 1697-1701 (1991).
10. J. M. Vigoureux, “Use of Einstein’s addition law in studies of reflection by stratified planar structures, ” J. Opt. Soc. Am. A 9, 1313-1319 (1992).
11. J. M. Vigoureux and Ph. Grossel, “A relativistic-like presentation of optics in stratified planar media, ” Am. J. Phys. 61, 707-712 (1993).
12. J. J. Monzón and L. L. Sánchez-Soto, “Lossless multilayers and Lorentz transformations: More than an analogy, ” Opt. Commun. 162, 1-6 (1999).
13. C. M. Caves, “Quantum-mechanical noise in an interferometer, ” Phys. Rev. D 23, 1693-1708 (1981).
14. M. D. Reid and D. F. Walls, “Generation of squeezed states in degenerate four-wave mixing, ” Phys. Rev. A 31, 1622-1635 (1985).
15. J. R. Klauder, S. L. McCall, and B. Yurke, “Squeezed states from nondegenerate four-wave mixing, ” Phys. Rev. A 33, 3204-3209 (1986).
16. D. Han, E. E. Hardekopf, and Y. S. Kim, “Thomas precession and squeezed states of light, ” Phys. Rev. A 39, 1269-1276 (1989).
17. A. Ben-Menahem, “Wigner’s rotation revisited, ” Am. J. Phys. 53, 62-66 (1985).
18. A. C. Hirshfeld and F. Metzger, “A simple formula for combining rotations and Lorentz boosts, ” Am. J. Phys. 54, 550-552 (1986).
19. J. M. Vigoureux, “The reflection of light by planar stratified media: The grupoid of amplitudes and a phase ‘Thomas precession, ”’ J. Phys. A 26, 385-393 (1993).
20. J. M. Vigoureux and D. V. Labeke, “A geometric phase in optical multilayers, ” J. Mod. Opt. 45, 2409-2416 (1998).
21. J. Lekner, Theory of Reflection (Kluwer Academic, Dordrecht, The Netherlands, 1987).
22. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1987).
23. A. O. Barut and R. Raczka, Theory of Group Representations and Applications (PWN-Polish Scientific, Warsaw, 1977).
24. E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic, New York, 1959).
25. D. A. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
26. J. J. Monzón and L. L. Sánchez-Soto, “Characterization of symmetric, absorbing 50-50 beam splitters, ” Appl. Opt. 35, 106-112 (1996).
27. A. A. Ungar, “The relativistic velocity composition paradox and the Thomas rotation, ” Found. Phys. 19, 1385-1396 (1989).
28. A. A. Ungar, “Successive Lorentz transformations of the electromagnetic field, ” Found. Phys. 21, 569-589 (1991).
29. A. A. Ungar, “Thomas precession and its associated grouplike structure, ” Am. J. Phys. 59, 824-834 (1991).
30. H. C. Corben, “Factors of 2 in magnetic moments, spin- orbit coupling, and Thomas precession, ” Am. J. Phys. 61, 551-553 (1993).
31. M. W. P. Strandberg, “Special relativity completed: The source of some 2s in the magnitude of physical phenomena, ” Am. J. Phys. 54, 321-331 (1986).
32. J. J. Monzón and L. L. Sánchez-Soto, “Fully relativisticlike formulation of multilayer optics, ” J. Opt. Soc. Am. A 16, 2013-2018 (1999).
33. P. K. Aravind, “The Wigner angle as an anholonomy in rapidity space, ” Am. J. Phys. 65, 634-636 (1997).
34. K. Creath, “Phase-measurement interferometric techniques, ” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1988), Vol. XXVI, pp. 351-393.