Critical point trajectory bundles in singular wave fields

Optics Communications

Volumn 187, Issue 1-3, 2001, Pages 71-90

  Freund, Isaac ^a   Kessler, David A ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; LASER BEAMS; MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE; VORTEX FLOW;

CRITICAL POINT TRAJECTORY BUNDLES; GAUSSIAN LASER BEAMS;

OPTICAL COMMUNICATION;

EID: 0035148156     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0030-4018(00)01101-9     Document Type: Article

References (37)

1. Nye J.F., Hajnal J.V., Hannay J.H. Phase saddles and dislocations in two dimensional waves such as tides. Proc. R. Soc. Lond. A. 417:1988;7-20.
2. Nye J.F., Berry M.V. Dislocations in wave trains. Proc. Roy. Soc. Lond. A. 336:1974;165-190.
3. M. Berry, Singularities in waves and rays, in: R. Balian, M. Kleman, J.-P. Poirier (Eds.), Physics of Defects, North-Holland, Amsterdam, 1981, pp. 453-549.
4. Freund I. Saddles, singularities, and extrema in random phase fields. Phys. Rev. E. 52:1995;2348-2360.
5. Soskin M., Vasnetsov M. Singular optics as a new chapter in modern photonics: optical vortices fundamentals and applications. Photon. Sci. News. 4:1999;21-42.
6. M. Vasnetsov, K. Staliunas, Optical Vortices, Nova Science Publications, Commack, NY, 1999.
7. Bazhenov V.Y., Vasnetsov M.V., Soskin M.S. Laser beams with screw dislocations in their wavefronts. JETP Lett. 52:1990;429-431.
8. Indebetouw G. Optical vortices and their propagation. J. Mod. Opt. 40:1993;73-87.
9. Rozas D., Sacks Z.S., Swartzlander G.A. Jr. Experimental observation of fluidlike motion of optical vortices. Phys. Rev. Lett. 79:1997;3399-3402.
10. Soskin M.S., Gorshkov V.N., Vasnetsov M.V. Topological charge and angular momentum of light beams carrying optical vortices. Phys. Rev. A. 56:1997;4064-4075.
11. Roux F.S. Dynamical behavior of new vortices. J. Opt. Soc. Am. B. 12:1995;1215-1221.
12. Rozas D., Law C.T., Swartzlander G.A. Jr. Propagation dynamics of optical vortices. J. Opt. Soc. Am. B. 14:1997;3054-3065.
13. Karman G.P., Beijersbergen M.W., van Duijl A., Woerdman J.P. Creation and annihilation of phase singularities in a focal field. Opt. Lett. 22:1997;1503-1505.
14. Kivshar Y.S., Christou J., Tikhonenko V., Luther-Davies B., Pismen L.M. Dynamics of optical vortex solitons. Opt. Commun. 152:1998;198-206.
15. Karman G.P., Beijersbergen M.W., van Duijl A., Bouwmeester D., Woerdman J.P. Airy pattern reorganization and subwavelength structure in a focus. J. Opt. Soc. Am. A. 15:1998;884-899.
16. Berry M.V. Wave dislocation reactions in non-paraxial Gaussian beams. J. Mod. Opt. 45:1998;1845-1858.
17. Freund I. Saddle point wave fields. Opt. Commun. 163:1999;230-242.
18. M. Berry, Much ado about nothing: optical dislocation lines (phase singularities, zeros, vortices.), in: M.S. Soskin (Ed.), Singular Optics, Proc. SPIE 3487, Opt. Soc. Amer., Washington DC, 1998, pp. 1-5.
19. V.I. Arnold, Ordinary Differential Equations, MIT Press, Cambridge, Mass, 1973, pp. 254-268 (Chapter 5).
20. S.H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, Reading, Mass, 1994, pp. 174-180 (Chapter 6).
21. Freund I. Optical vortex trajectories. Opt. Commun. 181:2000;19-33.
22. Shvartsman N., Freund I. Vortices in random wave fields: nearest neighbor anticorrelations. Phys. Rev. Lett. 72:1994;1008-1011.
23. Freund I., Shvartsman N. Wave-field phase singularities: the sign principle. Phys. Rev. A. 50:1994;5164-5172.
24. Freund I. Amplitude topological singularities in random electromagnetic wavefields. Phys. Lett. A. 198:1995;139-144.
25. Freund I. '1001' correlations in random wave fields. Waves in Random Media. 8:1998;119-158.
26. Freund I. Vortex derivatives. Opt. Commun. 137:1997;118-126.
27. M.V. Berry, M.R. Dennis, Phase singularities in isotropic random waves, Proc. Roy. Soc. Lond. A 456 (2000) 2059-2079.
28. Freund I., Belenkiy A. Higher-order extrema in two-dimensional wave fields. J. Opt. Soc. Am. A. 17:2000;434-446.
29. Freund I. Critical point explosions in two-dimensional wave fields. Opt. Commun. 159:1999;99-117.
30. Heckenberg N.R., McDuff R., Smith C.P., White A.G. Generation of optical phase singularities by computer-generated holograms. Opt. Lett. 17:1992;221-223.
31. Swartzlander G.A. Jr., Law C.T. Optical vortex solitons observed in Kerr nonlinear media. Phys. Rev. Lett. 69:1992;2503-2506.
32. Beijersbergen M.W., Coerwinkel R.P.C., Kristensen M., Woerdman J.P. Helical wavefront laser beams produced with a spiral phase plate. Opt. Commun. 112:1994;321-327.
33. Kim G.H., Jeon J.H., Ko K.H., Moon H.J., Lee J.H. Optical vortices produced with a nonspiral phase plate. Appl. Opt. 36:1997;8614-8621.
34. Nye J.F. Unfolding of higher-order wave dislocations. J. Opt. Soc. Am. A. 15:1998;1132-1138.
35. Torres J.P., Soto-Crispo J.M., Torner L., Petrov D.V. Solitary-wave vortices in type II second-harmonic generation. Opt. Commun. 149:1998;77-83.
36. Molina-Terriza G., Torner L., Petrov D.V. Vortex streets in walking parametric wave mixing. Opt. Lett. 24:1998;899-901.
37. Petrov D.V., Molina-Terriza G., Torner L. Vortex evolution in parametric wave mixing. Opt. Commun. 162:1999;357-366.