Geometric phase from a dielectric matrix

Journal of the Optical Society of America B: Optical Physics

Volumn 23, Issue 5, 2006, Pages 817-822

  Banerjee, Dipti ^a,b  

^a Rishi Bankim Chandra College   (India)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DIELECTRIC PROPERTIES; GEOMETRICAL OPTICS; MATRIX ALGEBRA; PHOTONS; POLARIZATION;

DIELECTRIC MATRIX; GEOMETRIC PHASE; OPTICAL MEDIUM; SINGLE-POLARIZED PHOTON;

OPTICS;

EID: 33745757028     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.000817     Document Type: Article

References (20)

1. V. V. Vladimirski, "The rotation of a polarization plane for curved light ray." in Topological Phases in Quantum Theory, B. Markovski and S. I. Vinitsky, eds. (World Scientific, 1989).
2. S. Pancharatnam, "Generalized theory of interference and its application," Proc. Indian Acad. Sci. Sect. A 44, 247-262 (1956).
3. M. V. Berry, "Quantum phase factors accompanying adiabatic changes," Proc. R. Soc. London Ser. A 392, 45-57 (1984).
4. S. Ramaseshan and R. Nityananda, "The interference of polarized light as an early example of Berry phase," Curr. Sci. 55, 1225-1226 (1986).
5. M. V. Berry, "The adiabatic phase and Pancharatnam phase for polarized light," J. Mod. Opt. 34, 1401-1407 (1987).
6. M. V. Berry, Proceedings of a NATO Advanced Research Workshop on Fundamental Aspects of Quantum Theory (NATO, 1985).
7. R. Simon and N. Mukunda, "Universal SU(2) gadget for polarization optics," Phys. Lett. A 138, 474-480 (1989).
8. R. Bhandari, "Observation of non-integrable geometric phase on the Poincaré sphere," Phys. Lett. A 157, 221-225 (1989).
9. S. C. Tiwari, "Geometric phase in optics and angular momentum of light," J. Mol. Spectrosc. 51, 2297-2304 (2004).
10. E. J. Galvez, R. R. Crawford, H. I. Sztul, M. J. Pysher, and R. E. Williams, "Geometric phase associated with mode transformations of optical beams bearing orbital angular momentum," Phys. Rev. Lett. 90, 203901-204100 (2003).
11. S. J. van Enk, "Geometric phase, transformations of Gaussian light beams and angular momentum transfer," Opt. Commun. 102, 59-64 (1993).
12. J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, "Interferometric methods to measure orbital and spin or the total angular momentum of a single photon," Phys. Rev. Lett. 92, 013601-4 (2004).
13. D. Banerjee, "Polarization matrix and geometric phase," Phys. Rev. E 56, 1129-1134 (1997).
14. D. Banerjee, "The study of geometric phase in twisted crystal," arXiv:physics/0408068 v1 2004.
15. 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).
16. P. Bandyopadhyay, Geometry, Topology and Quantization (Kluwer, 1996).
17. M. V. Berry, "Quantum adiabatic anholonomy," in Anomalies, Phases, and Defects, M. Bregola, G. Marmo, and G. Morandi, eds. (Bibliopolis, 1990).
18. R. C. Jones, "A new calculus for the treatment of optical systems. VII. Properties of n-matrices," J. Opt. Soc. Am. 38, 671-685 (1948).
19. G. N. Ramachandran and S. Ramaseshan, Crystal Optics in Encyclopedia of Physics, S. Flugge, ed. (Springer-Verlag, 1961), Vol. 25, Part I.
20. R. A. Bertlmann, K. Dustberger, Y. Hasegawa, and B. C. Hiesmayr, "Berry phase in entangled systems: a proposed experiment with single neutrons," Phys. Rev. A 69, 032112-032118 (2004).