Space-time topological dynamics of singularities and optical diabolos in developing generic light fields

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6729, Issue , 2007, Pages

  Soskin, M S ^a   Vasil'ev, V I ^a  

^a INSTITUTE OF PHYSICS   (Ukraine)

Author keywords

Dynamic Stokes polarimetry; Optical diabolos; Optical singularities; Space time dynamics

Indexed keywords

LIGHT POLARIZATION; OPTICAL VARIABLES MEASUREMENT; TOPOLOGY;

DYNAMIC STOKES POLARIMETRY; OPTICAL DIABOLOS; OPTICAL SINGULARITIES; SPACE-TIME DYNAMICS;

NONLINEAR OPTICS;

EID: 36248993955     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.751858     Document Type: Conference Paper

References (33)

1. J. F. Nye and M. V. Berry, "Dislocations in wave trains", Proc. R. Soc. Lond. A 336, 165-190 (1974).
2. J. F. Nye, Natural Focusing and Fine Structure of Light (IOP Publ., Bristol, 1999).
3. M. S. Soskin, M. V. Vasnetsov, "Singular optics", Progr. Opt., 42, 219-276 (2001).
4. M. V. Berry and M. Wilkinson, "Diabolic points in the spectra of triangles," Proc. R. Soc. Lond. A 392, 15-43 (1984).
5. R. I. Egorov, M. S. Soskin, and I. Freund, "Experimental optical diabolos," Opt. Lett., 31, 2048-2050 (2006).
6. I. Freund, M. S. Soskin, R. I. Egorov, and V. G. Denisenko, "Diabolos creation and annihilation," Opt. Lett., 31 2381-22383 (2006).
7. M. Soskin, V. Denisenko and R. Egorov, "Topological networks of paraxial ellipse speckle-fields", J. Opt. A: Pure, Appl., 6, S281-S287 (2004).
8. The Concise Dictionary (Omega book, London, 1984).
9. S. H. Strogartz, Nonlinear Dynamic and Chaos (Addison-Wesley, Reading, Mass., 1994).
10. M. S. Soskin, R. I. Egorov, and I. Freund, "Experimental umbilic diabolos in random optical fields," Opt. Lett. 32, April 15 (2007).
11. M. V. Berry and J. H. Hannay, "Umbilic points on Gaussian random surfaces", J. Phys. A 10, 1809-1821 (1977).
12. M. V. Berry, "Vortex-free complex landscapes and umbilic-free real landscapes", J. Phys. A 40 F185-F192 (2007).
13. I. Freund, "Polarization singularity democracy: WYSIWYG", Opt. Lett., 29, 1715-1717 (2004).
14. R. I. Egorov, V. G. Denisenko, and M. S. Soskin, "Topological Response on Inhomogeneous, Elliptically Polarized, Light Fields to Controlled Anisotropic Perturbations", JETP Lett., 81, 375-377 (2005).
15. M.Brambilla, F.Battipede, L.A.Lugiato, V.Penna, F.Pratti, C.Tamm, C.O.Weiss, "Transverse laser patterns: Phase singularity crystals", Phys. Rev. A 43, 5090 (1991).
16. F.T.Arecchi, G.Giacomalli, P.L.Ramazza, S.Rasidori, "Vortices and defect statistics in two-dimensional optical chaos", Phys. Rev. Lett. 67, 3749 (1991).
17. K.Staliunas, G.Slekys, C.O.Weiss, "Nonlinear pattern formation in active optical systems: shocks, domains of tilted waves, and cross-roll patterns", Phys. Rev. Lett. 79, 2658 (1997).
18. G. de Valcarcel, K.Staliunas, "Excitation of phase patterns and spatial solitons via two-frequency forcing of a 1:1 resonance", Phys. Rev. E 67, 026604 (2003).
19. A.Esteban-Martin, Manuel Martinez-Quesada, V.B.Taranenko, E.Roldan, G.J. de Valcarcel, "Rocking of a Nonlinear Optical Cavity: Transmuting Vortices into Phase Patterns", Phys. Rev. Lett. 97, 093903 (2006).
20. N.N.Rosanov, S.V.Fedorov, A.N.Shatsev, "Motion of clusters of weakly coupled two-dimensional cavity solitons", J. Exp. and Theor. Physics 102, 547 (2006).
21. M. V. Berry (Private communication).
22. S. Odoulov, M. Soskin, "Amplification, Oscillation, and Light-Induced Scattering in Photorefractive Crystals", in Springer Topics in Applied Physics, vol. 62, pp. 5-43 (Springer Ferlag, Berlin, Heidelberg, 1989).
23. S. Odoulov, M. Soskin, A. Khizhnyak, "Optical Coherent Oscillators with Degenerate Four-Wave Mixing" (Harwood Academic Publishers, Chur, London, 1991).
24. M. Born and E. Wolf, Principles of Optics, 7th ed. (Pergamon, New York, 1999).
25. M. S. Soskin, V. Denisenko, I. Freund,"Optical polarization singularities and elliptic stationary points," Opt. Lett., 28, 1475-1478 (2003).
26. V. I. Vasil'ev, M. S. Soskin , "Optoelectronics, Instrumentation and Data Processing", (in preparation).
27. I. Freund (Private communication)
28. I. Freund, "Optical diabolos: configurations, nucleations, transformations, and reactions", Opt. Commun. 272, 293-309. (2007)
29. I. Freund, "'1001' correlations in random wave fields", Wave in Random Media, 8, 119-158 (1998).
30. Fridel J. Dislocations (Oxford, Pergamon, 1964).
31. R. Egorov, PhD theses, Institute of Physics NAS of Ukraine, Kiev, Ukraine.
32. M.S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, "Topology of light: wave-front structure and dynamics of phase vortices, extrema, and saddles", Ukr. Phys. Journ., 44, 14-32 (1999).
33. R. W. Schoonover and T. D. Visser, "Polarization singularities of focused, radially polarized fields", Opt. Expr., 14, 57-33 5745 (2006).