Experimental determination of a topological invariant in a pattern of optical singularities

Physical Review Letters

Volumn 77, Issue 9, 1996, Pages 1755-1758

  Joets, Alain ^a   Ribotta, Roland ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243886598     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.77.1755     Document Type: Article

References (24)

1. C.Nash andS.Sen, Topology and Geometry for Physicists (Academic Press, London, 1983)
2. M.Monastyrsky, Topology of Gauge Fields and Condensed Matter (Plenum Press, New York, 1993)
3. G.Toulouse andM.Kléman, J. Phys. (Paris) Lett.37, 149(1976). JPSLBO
4. M.Kléman, Points, Lignes et Parois (Éditions de Physique, Paris, 1977), Vol. II
5. M.Kléman, in Geometric Phases in Physics, Vol. 5, edited by A. Shapere and F. Wilczek, Advanced Series in Mathematical Physics (World Scientific, Singapore, 1989)
6. R. Y.Chiao andY.-S.Wu, Phys. Rev. Lett.57, 933(1986). PRLTAO
7. A.Tomita andR. Y.Chiao, Phys. Rev. Lett.57, 937(1986). PRLTAO
8. J.Milnor, Topology from the Differentiable Viewpoint (The University Press of Virginia, Virginia, 1965)
9. A.Joets andR.Ribotta, J. Phys. I (France), 4, 1013(1994). JPGCE8
10. V. I.Arnold, S. M.Gusein-Zade, and A. N.Varchenko, Singularities of Differentiable Maps (Birkhaüser, Basel, 1985), Vol. 1
11. V. I.Arnold, Funct.Anal.Appl.6, 254(1972). FAAPBZ
12. Yu. V.Chekanov, Funct.Anal.Appl.20, 223(1986). FAAPBZ
13. V. I.Arnold, Singularities of Caustics and Wave Fronts, Vol. 62, Mathematics and its Applications (Kluwer Academic, Dordrecht, 1990)
14. P. V. I. Arnold, 62, 37
15. A.Joets andR.Ribotta, Europhys. Lett.29, 593(1995). EULEEJ
16. A.Joets andR.Ribotta, J. Phys. (Paris), 47, 595(1986). JOPQAG
17. R.Ribotta andA.Joets, J. Phys. (Paris), 47, 739(1986). JOPQAG
18. L. C.Kinsey, Topology of Surfaces (Springer-Verlag, Berlin, 1993)
19. A.Joets andR.Ribotta, Opt. Commun.107, 200(1994). OPCOB8
20. R.Thom, Ann.Inst. Fourier, Grenoble, 6, 43(1956)
21. V. M.Zakalyukin, J. Sov. Math.27, 2713(1984)
22. M. V.Berry andC.Upstill, in Progress in Optics XVIII, edited by E. Wolf (North-Holland, Amsterdam, 1980)
23. V. A.Vassilyev, Lagrange and Legendre Characteristic Classes, Vol.3, Advanced Studies in Contemporary Mathematics (Gordon and Breach, New York, 1988)
24. M.Audin, Ann.Inst. Fourier, Grenoble, 35, 159(1985)