OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2343–2348

Light propagation through a coiled optical fiber and Pancharatnam phase

Rajendra Bhandari  »View Author Affiliations


JOSA B, Vol. 24, Issue 9, pp. 2343-2348 (2007)
http://dx.doi.org/10.1364/JOSAB.24.002343


View Full Text Article

Enhanced HTML    Acrobat PDF (266 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The nature of changes in the interference pattern caused by the presence of polarization-changing elements in one or both beams of an interferometer, in particular those caused by an effective optical activity due to passage of a polarized beam through a coiled optical fiber, are clarified. It is pointed out that, for an incident state that is not circularly polarized so that the two interfering beams go to different polarization states, there is an observable nonzero Pancharatnam phase shift between them that depends on the incident polarization state and on the solid angle subtended by the track of the k vector at the center of the sphere of k vectors. The behavior of this phase shift is singular when the two interfering states are nearly orthogonal. It is shown that, for zero path difference between the two beams, the amplitude of intensity modulation as a function of optical activity is independent of the incident polarization state.

© 2007 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(260.3160) Physical optics : Interference
(260.5430) Physical optics : Polarization
(350.1370) Other areas of optics : Berry's phase

ToC Category:
Physical Optics

History
Original Manuscript: April 4, 2007
Manuscript Accepted: May 14, 2007
Published: August 23, 2007

Citation
Rajendra Bhandari, "Light propagation through a coiled optical fiber and Pancharatnam phase," J. Opt. Soc. Am. B 24, 2343-2348 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-9-2343


Sort:  Year  |  Journal  |  Reset  

References

  1. M. V. Berry, "Quantal phase factors accompanying adiabatic changes," Proc. R. Soc. London, Ser. A 392, 45-57 (1984). [CrossRef]
  2. S. Pancharatnam, "Generalized theory of interference and its applications," Proc. Indian Acad. Sci., Sect. A 44, 247-262 (1956).
  3. R. Bhandari, "Observation of nonintegrable geometric phase on the Poincaré sphere," Phys. Lett. A 133, 1-3 (1991). [CrossRef]
  4. R. Bhandari, "SU(2) phase jumps and geometric phases," Phys. Lett. A 157, 221-225 (1991). [CrossRef]
  5. R. Bhandari, "4π spinor symmetry-some new observations," Phys. Lett. A 180, 15-20 (1993). [CrossRef]
  6. R. Bhandari, "Interferometry without beam splitters-a sensitive technique for spinor phases," Phys. Lett. A 180, 21-24 (1993). [CrossRef]
  7. R. Bhandari, "Observation of Dirac singularities with light polarization--I, II," Phys. Lett. A 171, 262-270 (1992). [CrossRef]
  8. R. Bhandari, "Evolution of light beams in polarization and direction," Physica B 175, 111-122 (1991). [CrossRef]
  9. R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, 1-64 (1997). [CrossRef]
  10. R. Y. Chiao and W. S. Wu, "Manifestations of Berry's topological phase for the photon," Phys. Rev. Lett. 57, 933-936 (1986). [CrossRef] [PubMed]
  11. E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997). [CrossRef]
  12. A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986). [CrossRef] [PubMed]
  13. J. Anandan, "Non-adiabatic non-abelian geometric phase," Phys. Lett. A 133, 171-175 (1988). [CrossRef]
  14. F. Wilczek and A. Zee, "Appearance of gauge strucures in simple dynamical systems," Phys. Rev. Lett. 52, 2111-2114 (1984). [CrossRef]
  15. P. Senthilkumaran, "Berry's phase fiber loop mirror characteristics," J. Opt. Soc. Am. B 22, 505-511 (2005). [CrossRef]
  16. P. Senthilkumaran, G. Thursby, and B. Culshaw, "Fiber-optic tunable loop mirror using Berry's geometric phase," Opt. Lett. 25, 533-535 (2000). [CrossRef]
  17. P. Senthilkumaran, G. Thursby, and B. Culshaw, "Fiber optic Sagnac interferometer for the observation of Berry's topological phase," J. Opt. Soc. Am. B 17, 1914-1919 (2000). [CrossRef]
  18. P. Hariharan, Optical Interferometry, 2nd ed. (Academic, 2003), p. 57.
  19. After submitting this manuscript we became aware of the work of Tavrov et al. , in which they use the geometric spin redirection phase due to out-of-plane propagation of light to realize an achromatic π-phase shift between the two beams of an astronomical interferometer for "nulling interferometry." In our judgement, the linear phase shift between the beams for circular polarization shown in Fig. 2(a) and the highly nonlinear phase shift for linear polarization shown in Fig. 2(b) of their paper correspond approximately to the curves A and C shown in Fig. of this paper.
  20. When the Jones matrix of a halfwave plate is written without the factor i as done in and in some texbooks on optics, it implies an isotropic phase factor exp(±iπ/2) multiplying the SU(2) part. This must be removed before applying the considerations of Section .
  21. Y. Aharonov and J. Anandan, "Phase change during a cyclic quantum evolution," Phys. Rev. Lett. 58, 1593-1596 (1987). [CrossRef] [PubMed]
  22. A. Tavrov, R. Bohr, M. Totzeck, and H. Tiziani, "Achromatic nulling interferometer based on a geometric spin-redirection phase," Opt. Lett. 27, 2070-2072 (2002). [CrossRef]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited