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

  • Vol. 16, Iss. 8 — Aug. 1, 1999
  • pp: 1981–1985

Geometric phase of optical rotators

Enrique J. Galvez and Chris D. Holmes  »View Author Affiliations


JOSA A, Vol. 16, Issue 8, pp. 1981-1985 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001981


View Full Text Article

Acrobat PDF (137 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We describe the rotation of images by means of optical beam steering with use of the concept of geometric phase. The discussion is concentrated on systems composed of discrete reflections but can be generalized to refractive steering systems. Geometric phase reduces the analysis of image rotation to simple geometric constructions and the calculation of areas on a sphere. The analysis also applies to the rotation of linear polarization of the light with ideal mirrors.

© 1999 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(110.2960) Imaging systems : Image analysis
(220.0220) Optical design and fabrication : Optical design and fabrication
(350.1370) Other areas of optics : Berry's phase

Citation
Enrique J. Galvez and Chris D. Holmes, "Geometric phase of optical rotators," J. Opt. Soc. Am. A 16, 1981-1985 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-8-1981


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. Optical Design, MIL-HDBK-141, U.S. Defense Supply Agency Rep. 13–113–52 (Washington, D.C., 1962).
  2. D. W. Swift, “Image rotation devices—a comparative study,” Opt. Laser Technol., 175–188 (August 1972).
  3. R. E. Hopkins, “Mirror and prism systems,” Appl. Opt. Opt. Eng. 3, 269–308 (1965).
  4. M. V. Berry, “Quantum phase factors accompanying adiabatic changes,” Proc. R. Soc. London Ser. A 392, 45–57 (1984).
  5. R. Y. Chiao and Y.-S. Wu, “Manifestations of Berry’s topological phase for the photon,” Phys. Rev. Lett. 57, 933–936 (1986); 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).
  6. M. Segev, R. Solomon, and A. Yariv, “Manifestation of Berry’s phase in image-bearing optical beams,” Phys. Rev. Lett. 69, 590–592 (1992).
  7. R. Bhandari and J. Samuel, “Observation of topological phase by use of a laser interferometer,” Phys. Rev. Lett. 13, 1211–1213 (1988).
  8. R. Bhandari, “Polarization of light and topological phases,” Phys. Rep. 281, 1–64 (1997).
  9. Y. Aharonov and J. Anandan, “Phase change during a cyclic quantum evolution,” Phys. Rev. Lett. 58, 1593–1596 (1987).
  10. J. Samuel and R. Bhandari, “General setting for Berry’s phase,” Phys. Rev. Lett. 60, 2339–2342 (1988).
  11. M. Kitano, T. Yabuzaki, and T. Ogawa, “Comment on ‘Observation of Berry’s topological phase by use of an optical fiber’,” Phys. Rev. Lett. 58, 523 (1987).
  12. F. D. M. Haldane, “Path dependence of the geometric rotation of polarization in optical fibers,” Opt. Lett. 11, 730–732 (1986).
  13. J. Segert, “Photon’s Berry’s phase as a classical topological effect,” Phys. Rev. A 36, 10–15 (1987).
  14. L. H. Ryder, “The optical Berry phase and the Gauss–Bonnet theorem,” Eur. J. Phys. 12, 15–18 (1991).
  15. W. J. Smith, “Image formation: geometrical and physical optics,” in Handbook of Optics, W. G. Driscoll and W. Vaughan, eds. (McGraw-Hill, New York, 1978), pp. 2–41–2–51.
  16. A. Gleichen, The Theory of Modern Optical Instruments (His Majesty’s Stationery Office, London, 1921).
  17. E. J. Galvez and P. M. Koch, “Use of four mirrors to rotate linear polarization but preserve input–output collinearity. II,” J. Opt. Soc. Am. A 14, 3410–3414 (1997).
  18. Empirically we found a commercial dielectric mirror, New Focus model 5102, that conserved linear polarization and had high s and p polarization reflectances for an angle of incidence of 45° at 633 nm.

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