Much ado about nothing: Optical dislocation lines (phase singularities, zeros, vortices...)

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3487, Issue , 1997, Pages 1-5

  Berry, Michael ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

PHOTONS; POLES AND ZEROS; QUANTUM OPTICS; VECTORS; WAVE EQUATIONS; WAVEFRONTS;

COMPLEX SCALAR WAVE; LIGHT SINGULARITIES; OPTICAL DISLOCATION LINES; WAVEFRONT DISLOCATIONS;

GEOMETRICAL OPTICS;

EID: 0031427113     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.317693     Document Type: Conference Paper

References (25)

1. Born, M. and Wolf, E., 1959, Principles of Optics (Pergamon, London).
2. Nye, J. F. and Berry, M. V., 1974, Dislocations in wave trains, Proc. Roy. Soc. Lond. A336, 165-90.
3. Nye, J. F., 1981, The motion and structure of dislocations in wavefronts, Proc. Roy. Soc. Lond. A378, 219-239.
4. Hirschfelder, J. O., Christoph, A. C. and Palke, W. E., 1974, Quantum mechanical streamlines. 1. Square potential barrier, J. Chem. Phys. 61, 5435-5455.
5. Hirschfelder, J. O. and Tang, K. T., 1976, Quantum mechanical streamlines. III Idealized reactive atom-diatomic molecule collision, J. Chem. Phys. 64, 760-785.
6. Hirschfelder, J. O. and Tang, K. T., 1976, Quantum mechanical streamlines. IV. Collision of two spheres with square potential wells or barriers, J. Chem. Phys. 65, 470-486.
7. Berry, M. V. and Upstill, C., 1980, Catastrophe optics: morphologies of caustics and their diffraction patterns, Progress in Optics 18, 257-346.
8. Berry, M. V., 1981, Singularities in Waves and rays, in Les Houches Lecture Series Session 35, eds. Balian, R., Kléman, M. & Poirier, J.-P. (North-Holland: Amsterdam), pp. 453-543.
9. Nussenzveig, H. M., 1992, Diffraction effects in semiclassical scattering (University Press, Cambridge).
10. Park, D., 1997, The fire within the eye: a historical essay on the nature and meaning of light (University Press, Princeton).
11. Berry, M. V., 1997, Dislocation reactions in nonparaxial gaussian beams, J. Mod. Opt., (in the press).
12. Karman, G. P., Beijersbergen, M. W., van Duijl, A. and Woerdman, J. P., 1997, Creation and annihilation of phase singularities in a focal field, Optics Letters 19, 1503-1505.
13. Nye, J. F., 1997, Unfolding of higher-order wave dislocations, J. Opt. Soc. Amer. A., submitted.
14. Nye, J. F. Hajnal, J. V. and Hannay, J. H. 1988, Phase saddles and dislocations in two-dimensional waves such as the tides, Proc. Roy. Soc. Lond. A417, 7-20.
15. Soskin, M. S., Gorshkov, V. N., Vasnetsov, M. V., Malos, J. T. and Heckenberg, N. R., 1997, Topological charge and angular momentum of light beams carrying optical vortices, Phys. Rev. A 56, 4064-4075.
16. Beijersbergen, M., 1996, Phase singularities in optical beams, in Huygens Laboratory (Leiden), p. 98.
17. Basistiy, I. V., Bazhenov, V. Y. Soskin, M. S. and Vasnetsov, M. V., 1993, Optics of light beams with screw dislocations, Opt. Comm. 103, 422-428.
18. Basistiy, I. V., Soskin, M. S., and Vasnetsov, M. V., 1995, Optical wavefront dislocations and their properties, Opt. Comm. 119, 604-612.
19. Nye, J. F., 1983, Polarization effects in the diffraction of electromagnetic waves: the role of disclinations, Proc. Roy. Soc. Lond. A387, 105-132.
20. Nye, J. F., 1983, Lines of circular polarization in electromagnetic wave fields, Proc. Roy. Soc. Lond. A389, 279-290.
21. Nye, J. F. and Hajnal, J. V., 1987, The wave structure of monochromatic electromagnetic radiation, Proc. Roy. Soc. Lond. A409, 21-36.
22. Nye, J. F., 1997, Singularities in wave fields, Phil. Trans. Roy. Soc. Lond. 355, 2065-2069.
23. Hajnal, J. V., 1987, Singularities of the transverse fields of electromagnetic waves. I. Theory, Proc. Roy. Soc. Lond. A414, 433-446.
24. Hajnal, J. V., 1987, Singularities in the transverse fields of electromagnetic waves. II. Observations on the electric field., Proc. Roy. Soc. Lond. A414, 447-468.
25. Hajnal, J. V., 1990, Observation of singularities in the electric and magnetic fields of freely propagating microwaves., Proc. Roy. Soc. Lond. A430, 413-421.