Existence and absence of geometric phases due to mode transformations of high-order modes

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 5736, Issue , 2005, Pages 166-172

  Galvez, Enrique J ^a   O'Connell, Megan A ^a  

^a Center for Language and Brain   (United States)

Author keywords

Geometric phase; High order modes; Orbital angular momentum

Indexed keywords

ANGLE MEASUREMENT; LIGHT; MATHEMATICAL TRANSFORMATIONS; OPTICAL DEVICES; OPTICAL SYSTEMS; PARAMETER ESTIMATION; WAVE EQUATIONS;

BERRY PHASE; GEOMETRIC PHASE; HIGH-ORDER MODES; ORBITAL ANGULAR MOMENTUM;

GEOMETRICAL OPTICS;

EID: 21844433451     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.589963     Document Type: Conference Paper

References (14)

1. M.V. Berry, "Quantum phase factors accompanying adiabatic changes," Proc. R. Soc. London, Ser. A 392, pp. 45-57, 1984.
2. R.Y. Chiao and Y.S. Wu, "Manifestations of Berry's topological phase for the photon," Phys. Rev. Lett. 57, pp. 933-936, 1986.
3. A. Tomita and R.Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, pp. 937-940, 1986.
4. R. Bhandari and J. Samuel, "Observation of topological phase by use of a laser interferometer," Phys. Rev. Lett. 60, pp. 1211-1213, 1988.
5. E.J. Galvez, P.R. Crawford, H.I. Sztul, M.J. Pysher, P.J. Haglin, and R.E. Williams, "Geometric phase associated with mode transformations of optical beams bearing orbital angular momentum," Phys. Rev. Lett. 90, 201901-4, 2003.
6. E.J. Galvez, "Applications of Geometric Phase in Optics," Recent Research Developments in Optics 2, pp. 165-182, 2002.
7. M.W. Beijersbergen, L. Allen, H.E.L.O. van der Veen, and J.P. Woerdman, "Astigmatic laser mode converters and transfer of orbital angular momentum," Optics Comm. 96, pp. 123-132, 1993.
8. M.J. Padgett and J. Courtial, "Poincare-sphere equivalent for light beams containing orbital angular momentum," Opt. Lett. 24, pp. 430-432, 1999.
9. G.S. Agarwal, "SU(2) structure of the Poincare sphere for light beams with orbital angular momentum," J. Opt. Soc. Am. A 16, pp. 2914-2916, 1999.
10. S.J. van Enk, "Geometric phase, transformations of gaussian light beams and angular momentum transfer," Optics Comm. 102, pp. 59-64, 1993.
11. S.C. Tiwari, "Geometric phase in optics: Quantal or classical?" J. Mod. Opt. 39, pp. 1097-1105, 1992.
12. A.T. O'Neil and J. Courtial, "Mode transformations in terms of the constituent Hermite-Gaussian or Laguerre-Gaussian modes and the variable-phase mode converter," Optics Comm. 181, pp. 35-45, 2000.
13. R. Bhandari, "Interferometry without beam splitters - a sensitive technique for spinor phases," Phys. Lett. A 180, pp. 21-24, 1993.
14. N.R. Heckenberg, R. McDuff, C.P. Smith, and A.G. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett. 17, pp. 221-223, 1992.