Optical vortices and vortex solitons

Progress in Optics

Volumn 47, Issue , 2005, Pages 291-391

  Desyatnikov, Anton S ^a   Kivshar, Yuri S ^a   Torner, Lluis ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748866290     PISSN: 00796638     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0079-6638(05)47006-7     Document Type: Chapter

References (471)

1. Abo-Shaeer J.R., Raman C., Vogels J.M., and Ketterle W. Observation of vortex lattices in Bose-Einstein condensates. Science 292 (2001) 476-479
2. Abrikosov A.A. JETP 5 (1957) 1174
3. Adhikari S.K. Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length. Phys. Rev. A 69 (2004) 063613-063618
4. Afanasjev V.V. Rotating ring-shaped bright solitons. Phys. Rev. E 52 (1995) 3153-3158
5. Afanasjev V.V., Malomed B.A., and Chu P.L. Stability of bound states of pulses in the Ginzburg-Landau equations. Phys. Rev. E 56 (1997) 6020-6025
6. Ahles M., Motzek K., Stepken A., Kaiser F., Weilnau C., and Denz C. Stabilization and breakup of coupled dipole-mode beams in an anisotropic nonlinear medium. J. Opt. Soc. Am. B 19 (2002) 557-562
7. Al Khawaja U., and Stoof H. Skyrmions in a ferromagnetic Bose-Einstein condensate. Nature 411 (2001) 918-920
8. Alexander T.J., and Berge L. Ground states and vortices of matter-wave condensates and optical guided waves. Phys. Rev. E 65 (2002) 026611-026627
9. Alexander T.J., Buryak A.V., and Kivshar Yu.S. Stabilization of dark and vortex parametric spatial solitons. Opt. Lett. 23 (1998) 670-672
10. Alexander T.J., Kivshar Yu.S., Buryak A.V., and Sammut R.A. Optical vortex solitons in parametric wave mixing. Phys. Rev. E 61 (2000) 2042-2049
11. Alexander T.J., Ostrovskaya E.A., Kivshar Yu.S., and Julienne P.S. Vortices in atomic-molecular Bose-Einstein condensates. J. Opt. B-Quantum Semicl. Opt. 4 (2002) S33-S38
12. Alexander T.J., Sukhorukov A.A., and Kivshar Yu.S. Asymmetric vortex solitons in nonlinear periodic lattices. Phys. Rev. Lett. 93 (2004) 063901-063904
13. Allen L. Introduction to the atoms and angular momentum of light special issue. J. Opt. B-Quantum Semicl. Opt. 4 (2002) S1-S6
14. Allen L., Beijersbergen M.W., Spreeuw R.J.C., and Woerdman J.P. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45 (1992) 8185-8189
15. Allen L., Padgett M.J., and Babiker M. The orbital angular momentum of light. In: Wolf E. (Ed). Progress in Optics vol. 39 (1999), North-Holland, Amsterdam 291-372
16. Anastassiou C., Pigier C., Segev M., Kip D., Eugenieva E.D., and Christodoulides D.N. Self-trapping of bright rings. Opt. Lett. 26 (2001) 911-913
17. Anastassiou C., Soljacic M., Segev M., Eugenieva E.D., Christodoulides D.N., Kip D., Musslimani Z.H., and Torres J.P. Eliminating the transverse instabilities of Kerr solitons. Phys. Rev. Lett. 85 (2000) 4888-4891
18. Andersen D.R., and Kovachev L.M. Interaction of coupled-vector optical vortices. J. Opt. Soc. Am. B 19 (2002) 376-384
19. Andersen J.A., Friese M.E.J., Truscott A.G., Ficek Z., Drummond P.D., Heckenberg N.R., and Rubinsztein-Dunlop H. Light guiding light: nonlinear refraction in rubidium vapor. Phys. Rev. A 63 (2001) 023820-023828
20. Anderson M.H., Ensher J.R., Matthews M.R., Wieman C.E., and Cornell E.A. Observation of Bose-Einstein condensation in a dilute atomic vapor. Science 269 (1995) 198-201
21. Aranson I., and Steinberg V. Stability of multicharged vortices in a model of superflow. Phys. Rev. B 53 (1996) 75-78
22. Arecchi F.T., Boccaletti S., and Ramazza P.L. Pattern formation and competition in nonlinear optics. Phys. Rep. 318 (1999) 1-83
23. Arnaut H.H., and Barbosa G.A. Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion. Phys. Rev. Lett. 85 (2000) 286-289
24. Atai J., Chen Y.J., and Soto-Crespo J.M. Stability of 3-dimensional self-trapped beams with a dark spot surrounded by bright rings of varying intensity. Phys. Rev. A 49 (1994) R3170-R3173
25. Aubry S. Breathers in nonlinear lattices: existence, linear stability and quantization. Physica D 103 (1997) 201-250
26. Baizakov B.B., Malomed B.A., and Salerno M. Multidimensional solitons in periodic potentials. Europhys. Lett. 63 (2003) 642-648
27. Baizakov B.B., Salerno M., and Malomed B.A. Multidimensional solitons and vortices in periodic potentials. In: Abdullaev F.Kh., and Konotop V.V. (Eds). Nonlinear Waves: Classical and Quantum Aspects (1993), Kluwer, Dordrecht 61-80
28. Baluschev S., Dreischuh A., Velchev I., Dinev S., and Marazov O. Generation and evolution of 2-dimensional dark spatial solitons. Phys. Rev. E 52 (1995) 5517-5523
29. Bang O. Dynamical equations for wave packets in materials with both quadratic and cubic response. J. Opt. Soc. Am. B 14 (1997) 51-61
30. Bang O., Clausen C.B., Christiansen P.L., and Torner L. Engineering competing nonlinearities. Opt. Lett. 24 (1999) 1413-1415
31. Barashenkov I.V., Shchesnovich V.S., and Adams R.M. Noncoaxial multivortices in the complex sine-Gordon theory on the plane. Nonlinearity 15 (2002) 2121-2146
32. Barbosa G.A., and Arnaut H.H. Twin photons with angular-momentum entanglement: phase matching. Phys. Rev. A 65 (2002) 053801-053807
33. Barland S., Brambilla M., Columbo L., Furfaro L., Giudici M., Hachair X., Kheradmand R., Lugiato L.A., Maggipinto T., Tissoni G., and Tredicce J. Cavity solitons in a VCSEL: reconfigurable micropixel arrays. Europhys. News 34 (2003)
34. Barland S., Tredicce J.R., Brambilla M., Lugiato L.A., Balles S., Giudici M., Maggipinto T., Spinelli L., Tissoni G., Knödl T., Miller M., and Jäger R. Cavity solitons as pixels in semiconductor microcavities. Nature 419 (2002) 699-702
35. Barnett S.M. Optical angular-momentum flux. J. Opt. B-Quantum Semicl. Opt. 4 (2002) S7-S16
36. Barthelemy A., Froehly C., and Shalaby M. Proc. SPIE Int. Soc. Opt. Eng. vol. 2041 (1994) 104
37. Barthelemy A., Froehly C., Shalaby M., Donnat P., Paye J., and Migus A. In: Martin J.J., et al. (Ed). Ultrafast Phenomena vol. VIII (1993), Springer-Verlag, Berlin 299-305
38. Basistiy I.V., Bazhenov V.Y., Soskin M.S., and Vasnetsov M.V. Optics of light-beams with screw dislocations. Opt. Commun. 103 (1993) 422-428
39. Belashenkov N.R., Gagarsky S.V., and Inochkin M.V. On the nonlinear light refraction under the 2nd-harmonic generation. Opt. Spektrosk. 66 (1989) 1383-1386 (in Russian). English translation
40. Belashenkov N.R., Gagarsky S.V., and Inochkin M.V. On the nonlinear light refraction under the 2nd-harmonic generation. Opt. Spectrosc. Engl. Trans. 66 (1989) 806-809
41. Belic M.R., Stepken A., and Kaiser F. Spiraling behavior of photorefractive screening solitons. Phys. Rev. Lett. 82 (1999) 544-547
42. Belic M.R., Stepken A., and Kaiser F. Spatial screening solitons as particles. Phys. Rev. Lett. 84 (2000) 83-86
43. Belic M.R., Vujic D., Stepken A., Kaiser F., Calvo G.F., Agullo-Lopez F., and Carrascosa M. Isotropic versus anisotropic modeling of photorefractive solitons. Phys. Rev. E 65 (2002) 066610-066617
44. Berezhiani V.I., Mahajan S.M., Yoshida Z., and Pekker M. Dynamics of self-trapped singular beams in an underdense plasma. Phys. Rev. E 65 (2002) 046415-046420
45. Berezhiani V.I., Skarka V., and Aleksic N.B. Dynamics of localized and nonlocalized optical vortex solitons in cubic-quintic nonlinear media. Phys. Rev. E 64 (2001) 057601-057604
46. Berge L. Wave collapse in physics: principles and applications to light and plasma waves. Phys. Rep. 303 (1998) 260-370
47. Berry M. Making waves in physics - three wave singularities from the miraculous 1830s. Nature 403 (2000) 21
48. Berry M., and Dennis M. Quantum cores of optical phase singularities. J. Opt. A-Pure Appl. Opt. 6 (2004) S178-S180
49. Berry M., Dennis M., and Soskin M. The plurality of optical singularities. J. Opt. A-Pure Appl. Opt. 6 (2004) S155-S156
50. Beržanskis A., Piskarskas A., Smilgevičius V., Stabinis A., and Di Trapani P. Interaction of optical vortices in nonlinear crystals. In: Vasnetsov M., and Staliunas K. (Eds). Optical Vortices. Horizons in World Physics vol. 228 (1999), Nova Sciences Publishers, New York 263-310
51. Berzanskis A., Matijosius A., Piskarskas A., Smilgevicius V., and Stabinis A. Conversion of topological charge of optical vortices in a parametric frequency converter. Opt. Commun. 140 (1997) 273-276
52. Berzanskis A., Matijosius A., Piskarskas A., Smilgevicius V., and Stabinis A. Sum-frequency mixing of optical vortices in nonlinear crystals. Opt. Commun. 150 (1998) 372-380
53. Bezuhanov K., Dreischuh A., Paulus G.G., Schatzel M.G., and Walther H. Vortices in femtosecond laser fields. Opt. Lett. 29 (2004) 1942-1944
54. Bigelow M.S., Park Q.H., and Boyd R.W. Stabilization of the propagation of spatial solitons. Phys. Rev. E 66 (2002) 046631-046635
55. Bigelow M.S., Zerom P., and Boyd R.W. Breakup of ring beams carrying orbital angular momentum in sodium vapor. Phys. Rev. Lett. 92 (2004) 083902-083905
56. Bortolozzo U., Pastur L., Ramazza P.L., Tlidi M., and Kozyreff G. Bistability between different localized structures in nonlinear optics. Phys. Rev. Lett. 93 (2004) 253901-253904
57. Bouchal Z., and Celechovsky R. Mixed vortex states of light as information carriers. New J. Phys. 6 (2004) 131-622
58. Boudebs G., Cherukulappurath S., Leblond H., Troles J., Smektala F., and Sanchez F. Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses. Opt. Commun. 219 (2003) 427-433
59. Bouwmeester D., Ekert A., and Zeilinger A. The Physics of Quantum Information (2000), Springer-Verlag, Berlin
60. Boyd R.W. Nonlinear Optics (1992), Academic Press, San Diego
61. Bradley C.C., Sackett C.A., Tollett J.J., and Hulet R.G. Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions. Phys. Rev. Lett. 75 (1995) 1687-1690
62. Breidis D., Petersen D.E., Edmundson D., Krolikowski W., and Bang O. Ring vortex solitons in nonlocal nonlinear media. Opt. Exp. 13 (2005) 435-443
63. Buryak A.V., Di Trapani P., Skryabin D.V., and Trillo S. Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications. Phys. Rep. 370 (2002) 63-235
64. Buryak A.V., and Kivshar Yu.S. Multistability of three-wave parametric self-trapping. Phys. Rev. Lett. 78 (1997) 3286-3289
65. Buryak A.V., Kivshar Yu.S., and Trillo S. Stability of three-wave parametric solitons in diffractive quadratic media. Phys. Rev. Lett. 77 (1996) 5210-5213
66. Buryak A.V., and Steblina V.V. Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study. J. Opt. Soc. Am. B 16 (1999) 245-255
67. Butcher P.N., and Cotter D. The Elements of Nonlinear Optics (1992), Cambridge University Press, Cambridge, UK
68. Butts D.A., and Rokhsar D.S. Predicted signatures of rotating Bose-Einstein condensates. Nature 397 (1999) 327-329
69. Caetano D.P., Almeida M.P., Souto Ribeiro P.H., Huguenin J.A.O., Coutinho dos Santos B., and Khoury A.Z. Conservation of orbital angular momentum in stimulated down-conversion. Phys. Rev. A 66 (2002) 041801-041804
70. Carlsson A.H., Malmberg J.N., Anderson D., Lisak M., Ostrovskaya E.A., Alexander T.J., and Kivshar Yu.S. Linear and nonlinear waveguides induced by optical vortex solitons. Opt. Lett. 25 (2000) 660-662
71. Carmon T., Uzdin R., Pigier C., Musslimani Z.H., Segev M., and Nepomnyashchy A. Rotating propeller solitons. Phys. Rev. Lett. 87 (2001) 143901-143904
72. Chen Y.F., Beckwitt K., Wise F.W., and Malomed B.A. Criteria for the experimental observation of multidimensional optical solitons in saturable media. Phys. Rev. E 70 (2004) 046610-046617
73. Chen Y.J., and Atai J. Gray and dark modes in nonlinear wave-guides. J. Opt. Soc. Am. B 9 (1992) 2252-2257
74. Chen Z., Segev M., Wilson D.W., Muller R.E., and Maker P.D. Self-trapping of an optical vortex by use of the bulk photovoltaic effect. Phys. Rev. Lett. 78 (1997) 2948-2951
75. Chen Z., Shih M.F., Segev M., Wilson D.W., Muller R.E., and Maker P.D. Steady-state vortex-screening solitons formed in biased photorefractive media. Opt. Lett. 22 (1997) 1751-1753
76. Chen Z.G., Martin H., Eugenieva E.D., Xu J.J., and Bezryadina A. Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains. Phys. Rev. Lett. 92 (2004) 143902-143904
77. Christodoulides D.N., Coskun T.H., Mitchell M., and Segev M. Theory of incoherent self-focusing in biased photorefractive media. Phys. Rev. Lett. 78 (1997) 646-649
78. Christodoulides D.N., and Joseph R.I. Vector solitons in birefringent nonlinear dispersive media. Opt. Lett. 13 (1988) 53-55
79. Christodoulides D.N., Lederer F., and Silberberg Y. Discretizing light behaviour in linear and nonlinear waveguide lattices. Nature 424 (2003) 817-823
80. Christodoulides D.N., Singh S.R., Carvalho M.I., and Segev M. Incoherently coupled soliton pairs in biased photorefractive crystals. Appl. Phys. Lett. 68 (1996) 1763-1765
81. Christou J., Tikhonenko V., Kivshar Yu.S., and Luther-Davies B. Vortex soliton motion and steering. Opt. Lett. 21 (1996) 1649-1651
82. Coffey V. Laser beam condensed state resembles liquid. Laser Focus World 38 (2002)
83. Cohen-Tannoudji C., Dupont-Roc J., and Grynberg G. Photons and Atoms: Introduction to Quantum Electrodynamics (1989), Wiley, New York
84. Coullet P., Gil L., and Rocca F. Optical vortices. Opt. Commun. 73 (1989) 403-408
85. Crasovan L.C., Kartashov Y.V., Mihalache D., Torner L., Kivshar Yu.S., and Perez-Garcia V.M. Soliton "molecules": robust clusters of spatiotemporal optical solitons. Phys. Rev. E 67 (2003) 046610-046615
86. Crasovan L.C., Malomed B.A., and Mihalache D. Erupting, flat-top, and composite spiral solitons in the two-dimensional Ginzburg-Landau equation. Phys. Lett. A 289 (2001) 59-65
87. Crasovan L.C., Malomed B.A., and Mihalache D. Spinning solitons in cubic-quintic nonlinear media. Pramana-J. Phys. 57 (2001) 1041-1059
88. Crasovan L.C., Malomed B.A., and Mihalache D. Stable vortex solitons in the two-dimensional Ginzburg-Landau equation. Phys. Rev. E 63 (2001) 016605-016610
89. Crasovan L.C., Perez-Garcia V.M., Danaila I., Mihalache D., and Torner L. Three-dimensional parallel vortex rings in Bose-Einstein condensates. Phys. Rev. A 70 (2004) 033605-033609
90. Crasovan L.C., Vekslerchik V., Perez-Garcia V.M., Torres J.P., Mihalache D., and Torner L. Stable vortex dipoles in nonrotating Bose-Einstein condensates. Phys. Rev. A 68 (2003) 063609-063613
91. Cross M.C., and Hohenberg P.C. Pattern formation outside of equilibrium. Rev. Mod. Phys. 65 (1993) 851-1112
92. Cyrot M. Ginzburg-Landau theory for superconductors. Rep. Prog. Phys. 36 (1973) 103-158
93. Dalfovo F., Giorgini S., Pitaevskii L.P., and Stringari S. Theory of Bose-Einstein condensation in trapped gases. Rev. Mod. Phys. 71 (1999) 463-512
94. Davis K.B., Mewes M.O., Andrews M.R., Vandruten N.J., Durfee D.S., Kurn D.M., and Ketterle W. Bose-Einstein condensation in a gas of sodium atoms. Phys. Rev. Lett. 75 (1995) 3969-3973
95. Davydova T.A., and Yakimenko A.I. Stable multicharged localized optical vortices in cubic-quintic nonlinear media. J. Opt. A-Pure Appl. Opt. 6 (2004) S197-S201
96. Debernardi P., Bava G.P., di Sopra F.M., and Willemsen M.B. Features of vectorial modes in phase-coupled VCSEL arrays: experiments and theory. IEEE J. Quantum Electron. 39 (2003) 109-119
97. Delafuente R., Barthelemy A., and Froehly C. Spatial-soliton-induced guided-waves in a homogeneous nonlinear Kerr medium. Opt. Lett. 16 (1991) 793-795
98. Denz C., Krolikowski W., Petter J., Weilnau C., Tschudi T., Belic M.R., Kaiser F., and Stepken A. Dynamics of formation and interaction of photorefractive screening solitons. Phys. Rev. E 60 (1999) 6222-6225
99. DeSalvo R., Hagan D.J., Sheik-Bahae M., Stegeman G., Vanstryland E.W., and Vanherzeele H. Self-focusing and self-defocusing by cascaded 2nd-order effects in KTP. Opt. Lett. 17 (1992) 28-30
100. Desyatnikov A., Denz C., and Kivshar Y. Nonlinear optical beams carrying phase dislocations. J. Opt. A-Pure Appl. Opt. 6 (2004) S209-S212
101. Desyatnikov A., Maimistov A., and Malomed B. Three-dimensional spinning solitons in dispersive media with the cubic-quintic nonlinearity. Phys. Rev. E 61 (2000) 3107-3113
102. Desyatnikov A.S., and Kivshar Yu.S. Necklace-ring vector solitons. Phys. Rev. Lett. 87 (2001) 033901-033904
103. Desyatnikov A.S., and Kivshar Yu.S. Rotating optical soliton clusters. Phys. Rev. Lett. 88 (2002) 053901-053904
104. Desyatnikov A.S., and Kivshar Yu.S. Spatial optical solitons and soliton clusters carrying an angular momentum. J. Opt. B-Quantum Semicl. Opt. 4 (2002) S58-S65
105. Desyatnikov A.S., Kivshar Yu.S., Motzek K., Kaiser F., Weilnau C., and Denz C. Multicomponent dipole-mode spatial solitons. Opt. Lett. 27 (2002) 634-636
106. Desyatnikov A.S., and Maimistov A.I. Interaction of two spatially separated light beams in a nonlinear Kerr medium. JETP 86 (1998) 1101-1106
107. Desyatnikov A.S., and Maimistov A.I. Conservation of the angular momentum for multidimensional optical solitons. Quantum Electron. 30 (2000) 1009-1013
108. Desyatnikov A.S., Mihalache D., Mazilu D., Malomed B.A., Denz C., and Lederer F. Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media. Phys. Rev. E 71 (2005) 026615-026623
109. Desyatnikov A.S., Neshev D., Ostrovskaya E.A., Kivshar Yu.S., Krolikowski W., Luther-Davies B., Garcia-Ripoll J.J., and Perez-Garcia V.M. Multipole spatial vector solitons. Opt. Lett. 26 (2001) 435-437
110. Desyatnikov A.S., Neshev D., Ostrovskaya E.A., Kivshar Yu.S., McCarthy G., Krolikowski W., and Luther-Davies B. Multipole composite spatial solitons: theory and experiment. J. Opt. Soc. Am. B 19 (2002) 586-595
111. Dholakia K., Simpson N.B., Padgett M.J., and Allen L. Second-harmonic generation and the orbital angular momentum of light. Phys. Rev. A 54 (1996) R3742-R3745
112. Di Trapani P., Chinaglia W., Minardi S., Piskarskas A., and Valiulis G. Observation of quadratic optical vortex solitons. Phys. Rev. Lett. 84 (2000) 3843-3846
113. Di Trapani P., Chinaglia W., Minardi S., and Valiulis G. Observation of quadratic vortex solitons. Nonlinear Guided Waves and Their Applications (1999) OSA Topical Meeting, post-deadline talk, Dijon, France
114. Dimitrevski K., Reimhult E., Svensson E., Ohgren A., Anderson D., Berntson A., Lisak M., and Quiroga-Teixeiro M.L. Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media. Phys. Lett. A 248 (1998) 369-376
115. Dong L., Ye F., Wang J., Cai T., and Li Y.P. Internal modes of localized optical vortex soliton in a cubic-quintic nonlinear medium. Physica D 194 (2004) 219-226
116. Donnelly R.J. Quantized Vortices in Helium II (1991), Cambridge University Press, Cambridge, UK
117. Dreischuh A., Chervenkov S., Neshev D., Paulus G.G., and Walther H. Generation of lattice structures of optical vortices. J. Opt. Soc. Am. B 19 (2002) 550-556
118. Dreischuh A., Fliesser W., Velchev I., Dinev S., and Windholz L. Phase measurements of ring dark solitons. Appl. Phys. B 62 (1996) 139-142
119. Dreischuh A., Kamenov V., and Dinev S. Parallel guiding of signal beams by a ring dark soliton. Appl. Phys. B 63 (1996) 145-150
120. Dreischuh A., Neshev D., Paulus G.G., Grasbon F., and Walther H. Ring dark solitary waves: experiment versus theory. Phys. Rev. E 66 (2002) 066611-066617
121. Dreischuh A., Paulus G.G., Zacher F., Grasbon F., Neshev D., and Walther H. Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity. Phys. Rev. E 60 (1999) 7518-7524
122. Dreischuh A., Paulus G.G., Zacher F., Grasbon F., and Walther H. Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium. Phys. Rev. E 60 (1999) 6111-6117
123. Edmundson D.E. Unstable higher modes of a three-dimensional nonlinear Schrödinger equation. Phys. Rev. E 55 (1997) 7636-7644
124. Edmundson D.E., and Enns R.H. Fully 3-dimensional collisions of bistable light bullets. Opt. Lett. 18 (1993) 1609-1611
125. Edmundson D.E., and Enns R.H. Particle-like nature of colliding 3-dimensional optical solitons. Phys. Rev. A 51 (1995) 2491-2498
126. Efremidis N.K., Sears S., Christodoulides D.N., Fleischer J.W., and Segev M. Discrete solitons in photorefractive optically induced photonic lattices. Phys. Rev. E 66 (2002) 046602-046605
127. Eilbeck J.C., and Johansson M. The discrete nonlinear Schrödinger equation - 20 years on. In: Vazquez L., MacKay R.S., and Zorzano M.P. (Eds). Proceedings of the Third Conference "Localization and Energy Transfer in Nonlinear Systems" (2003), World Scientific, Singapore 44-67
128. Eilbeck J.C., Lomdahl P.S., and Scott A.C. The discrete self-trapping equation. Physica D 16 (1985) 318-338
129. Eliel E.R., Dutra S.M., Nienhuis G., and Woerdman J.P. Comment on "Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion". Phys. Rev. Lett. 86 (2001) 5208
130. Etrich C., Lederer F., Malomed B., Peschel T., and Peschel U. Optical solitons in media with quadratic nonlinearity. In: Wolf E. (Ed). Progress in Optics vol. 41 (2000), North-Holland, Amsterdam 483-568
131. Fedorov S.V., Rosanov N.N., Shatsev A.N., Veretenov N.A., and Vladimirov A.G. Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber. IEEE J. Quantum Electron. 39 (2003) 197-205
132. Ferrando A. Discrete-symmetry vortices as angular Bloch modes. nlin.PS/0411059
133. Ferrando A., Zacares M., de Cordoba P.F., Binosi D., and Monsoriu J.A. Vortex solitons in photonic crystal fibers. Opt. Exp. 12 (2004) 817-822
134. Fetter A.L., and Svidzinsky A.A. Vortices in a trapped dilute Bose-Einstein condensate. J. Phys. Condens. Matter 13 (2001) R135-R194
135. Firth W.J., and Skryabin D.V. Optical solitons carrying orbital angular momentum. Phys. Rev. Lett. 79 (1997) 2450-2453
136. Firth W.J., and Weiss C.O. Cavity and feedback solitons. Opt. Photon. News 13 (2002) 54-58
137. Fleischer J.W., Bartal G., Cohen O., Manela O., Segev M., Hudock J., and Christodoulides D.N. Observation of vortex-ring "discrete" solitons in 2D photonic lattices. Phys. Rev. Lett. 92 (2004) 123904-123907
138. Fleischer J.W., Carmon T., Segev M., Efremidis N.K., and Christodoulides D.N. Observation of discrete solitons in optically induced real time waveguide arrays. Phys. Rev. Lett. 90 (2003) 023902-023904
139. Fleischer J.W., Neshev D.N., Bartal G., Alexander T.J., Cohen O., Ostrovskaya E.A., Manela O., Martin H., Hudock J., Makasyuk I., Chen Z., Christodoulides D.N., Kivshar Yu.S., and Segev M. Observation of discrete vortex solitons in 2D photonic lattices. Opt. Photon. News 15 (2004) 30
140. Fleischer J.W., Segev M., Efremidis N.K., and Christodoulides D.N. Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices. Nature 422 (2003) 147-150
141. Flytzanis C., and Bloembergen N. Infrared dispersion of third-order susceptibilities in dielectrics: retardation effects. Prog. Quantum Electron. 4 (1976) 271-300
142. Franke-Arnold S., Barnett S., Yao E., Leach J., Courtial J., and Padgett M. Uncertainty principle for angular position and angular momentum. New J. Phys. 6 (2004) 103
143. Franke-Arnold S., Barnett S.M., Padgett M.J., and Allen L. Two-photon entanglement of orbital angular momentum states. Phys. Rev. A 65 (2002) 033823-033828
144. Freund I. Emergent polarization singularities. Opt. Lett. 29 (2004) 539-541
145. Freund I. Polarization singularities in optical lattices. Opt. Lett. 29 (2004) 875-877
146. Fried D.G., Killian T.C., Willmann L., Landhuis D., Moss S.C., Kleppner D., and Greytak T.J. Bose-Einstein condensation of atomic hydrogen. Phys. Rev. Lett. 81 (1998) 3811-3814
147. Friese M.E.J., Nieminen T.A., Heckenberg N.R., and Rubinsztein-Dunlop H. Optical alignment and spinning of laser-trapped microscopic particles. Nature 394 (1998) 348-350
148. Fuerst R.A., Baboiu D.M., Lawrence B., Torruellas W.E., Stegeman G.I., Trillo S., and Wabnitz S. Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium. Phys. Rev. Lett. 78 (1997) 2756-2759
149. Gahagan K.T., and Swartzlander G.A. Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap. J. Opt. Soc. Am. B 16 (1999) 533-537
150. Garcia-Ripoll J.J., and Perez-Garcia V.M. Stable and unstable vortices in multicomponent Bose-Einstein condensates. Phys. Rev. Lett. 84 (2000) 4264-4267
151. Garcia-Ripoll J.J., Perez-Garcia V.M., Ostrovskaya E.A., and Kivshar Yu.S. Dipole-mode vector solitons. Phys. Rev. Lett. 85 (2000) 82-85
152. Gbur G., and Visser T.D. Coherence vortices in partially coherent beams. Opt. Commun. 222 (2003) 117-125
153. Ghosh S. Vortices in atomic Bose-Einstein condensates: an introduction. Phase Transit. 77 (2004) 625-676
154. Gibbs H.M. Optical Bistability: Controlling Light with Light (1985), Academic Press, New York
155. Gibson G., Courtial J., Padgett M.J., Vasnetsov M., Pas'ko V., Barnett S.M., and Franke-Arnold S. Free-space information transfer using light beams carrying orbital angular momentum. Opt. Exp. 12 (2004) 5448-5456
156. Ginzburg V.L., and Landau L.D. Zh. Éksp. Teor. Fiz. 20 (1950) 1064
157. Graham R., and Haken H. Laserlight - first example of a second-order transition far away from thermal equilibrium. Z. Phys. 237 (1970) 31
158. Grier D.G. A revolution in optical manipulation. Nature 424 (2003) 810-816
159. Haelterman M., and Sheppard A. Bifurcation phenomena and multiple soliton-bound states in isotropic Kerr media. Phys. Rev. E 49 (1994) 3376-3381
160. Haus H.A. Appl. Phys. Lett. 8 (1966) 128
161. Hernandez-Garcia E., Hoyuelos M., Colet P., and Miguel M.S. Dynamics of localized structures in vectorial waves. Phys. Rev. Lett. 85 (2000) 744-747
162. Hoyuelos M., Hernandez-Garcia E., Colet P., and San Miguel M. Dynamics of defects in the vector complex Ginzburg-Landau equation. Physica D 174 (2003) 176-197
163. Jarutis V., Matijosius A., Smilgevicius V., and Stabinis A. Second harmonic generation of higher-order Bessel beams. Opt. Commun. 185 (2000) 159-169
164. Jeng C.C., Shih M.F., Motzek K., and Kivshar Y. Partially incoherent optical vortices in self-focusing nonlinear media. Phys. Rev. Lett. 92 (2004) 043904-043907
165. Johansson M., Aubry S., Gaididei Y.B., Christiansen P.L., and Rasmussen K.O. Dynamics of breathers in discrete nonlinear Schrödinger models. Physica D 119 (1998) 115-124
166. Kamenov V., Dreischuh A., and Dinev S. Manipulation of the transverse dynamics of ring dark solitary waves. Phys. Scr. 55 (1997) 68-72
167. Kanashov A.A., and Rubenchik A.M. On diffraction and dispersion effect on 3 wave interaction. Physica D 4 (1981) 122-134
168. Kapoor R., and Agarwal G.S. Theory of electromagnetically induced waveguides. Phys. Rev. A 61 (2004) 053818-053821
169. Karamzin Yu.N., and Sukhorukov A.P. Nonlinear interaction of diffracting beams of light in a medium of quadratic nonlinearity, mutual focusing of beams and restriction of optical frequency convertor efficiency. Pis'ma Zh. Éksp. Teor. Fiz. 20 (1974) 734-739 (in Russian). English translation
170. Karamzin Yu.N., and Sukhorukov A.P. Nonlinear interaction of diffracting beams of light in a medium of quadratic nonlinearity, mutual focusing of beams and restriction of optical frequency convertor efficiency. JETP Lett. 20 (1974) 339-342
171. Karamzin Yu.N., and Sukhorukov A.P. Mutual focusing of intense light-beams in media with quadratic nonlinearity. Zh. Éksp. Teor. Fiz. 68 (1975) 834-847 (in Russian). English translation
172. Karamzin Yu.N., and Sukhorukov A.P. Mutual focusing of intense light-beams in media with quadratic nonlinearity. JETP 41 (1975) 414-420
173. Kartashov Y.V., Crasovan L.C., Mihalache D., and Torner L. Robust propagation of two-color soliton clusters supported by competing nonlinearities. Phys. Rev. Lett. 89 (2002) 273902-273905
174. Kartashov Y.V., Egorov A.A., Torner L., and Christodoulides D.N. Stable soliton complexes in two-dimensional photonic lattices. Opt. Lett. 29 (2004) 1918-1920
175. Kartashov Y.V., Egorov A.A., Vysloukh V.A., and Torner L. Rotary dipole-mode solitons in Bessel optical lattices. J. Opt. B-Quantum Semicl. Opt. 6 (2004) 444-447
176. Kartashov Y.V., Egorov A.A., Vysloukh V.A., and Torner L. Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices. Phys. Rev. E 70 (2004) 065602R-065605R
177. Kartashov Y.V., Molina-Terriza G., and Torner L. Multicolor soliton clusters. J. Opt. Soc. Am. B 19 (2002) 2682-2691
178. Kartashov Y.V., Vysloukh V.A., and Torner L. Rotary solitons in Bessel optical lattices. Phys. Rev. Lett. 93 (2004) 093904-093907
179. Kartashov Y.V., Vysloukh V.A., and Torner L. Soliton trains in photonic lattices. Opt. Exp. 12 (2004) 2831-2837
180. Kartashov, Y.V., Vysloukh, V.A., Torner, L., 2005a, Composite vortex-ring solitons in Bessel photonic lattices, J. Opt. Soc. Am. B, in press, physics/0412034
181. Kartashov Y.V., Vysloukh V.A., and Torner L. Stable ring-profile vortex solitons in Bessel optical lattices. Phys. Rev. Lett. 94 (2005) 043902-043905
182. Kevrekidis P.G., Carretero-Gonzalez R., Frantzeskakis D.J., and Kevrekidis I.G. Vortices in Bose-Einstein condensates: some recent developments. Mod. Phys. Lett. B 18 (2004) 1481-1505
183. Kevrekidis P.G., Malomed B.A., and Bishop A.R. Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation. J. Phys. A 34 (2001) 9615-9629
184. Kevrekidis P.G., Malomed B.A., Bishop A.R., and Frantzeskakis D.J. Localized vortices with a semi-integer charge in nonlinear dynamical lattices. Phys. Rev. E 65 (2002) 016605-016611 Comment
185. Johansson M. Phys. Rev. E 66 (2002) 048601-048603
186. Kevrekidis P.G., Malomed B.A., Chen Z.G., and Frantzeskakis D.J. Stable higher-order vortices and quasivortices in the discrete nonlinear Schrödinger equation. Phys. Rev. E 70 (2004) 056612-056620
187. Kevrekidis P.G., Malomed B.A., Frantzeskakis D.J., and Carretero-Gonzalez R. Three-dimensional solitary waves and vortices in a discrete nonlinear Schrödinger lattice. Phys. Rev. Lett. 93 (2004) 080403-080406
188. Kevrekidis P.G., Malomed B.A., and Gaididei Y.B. Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity. Phys. Rev. E 66 (2002) 016609-016618
189. Kim G.H., Jeon J.H., Noh Y.C., Ko K.H., and Moon H.J. Rotational characteristics of an array of optical vortices in a self-defocusing medium. J. Korean Phys. Soc. 33 (1998) 308-314
190. Kim G.H., Jeon J.H., Noh Y.C., Ko K.H., Moon H.J., Lee J.H., and Chang J.S. An array of phase singularities in a self-defocusing medium. Opt. Commun. 147 (1998) 131-137
191. Kim G.H., Lee H.J., Kim J.U., and Suk H. Propagation dynamics of optical vortices with anisotropic phase profiles. J. Opt. Soc. Am. B 20 (2003) 351-359
192. Kivshar Yu.S. Quadratic solitons: past, present, and future. In: Boardman A.D., Pavlov L., and Tanev S. (Eds). Advanced Photonics with Second-Order Optically Nonlinear Processes. NATO Science Series. 3. High Technology vol. 61 (1997), Kluwer, Boston 451-475
193. Kivshar Yu.S. Bright and dark spatial solitons in non-Kerr media. Opt. Quantum Electron. 30 (1998) 571-614
194. Kivshar Yu.S., and Agrawal G.P. Optical Solitons: From Fibers to Photonic Crystals (2003), Academic Press, San Diego
195. Kivshar Yu.S., Christou J., Tikhonenko V., Luther-Davies B., and Pismen L.M. Dynamics of optical vortex solitons. Opt. Commun. 152 (1998) 198-206
196. Kivshar Yu.S., and Luther-Davies B. Dark optical solitons: physics and applications. Phys. Rep. 298 (1998) 81-197
197. Kivshar Yu.S., and Ostrovskaya E.A. Optical vortices: folding and twisting waves of light. Opt. Photon. News 12 (2001) 26-31
198. Kivshar Yu.S., and Pelinovsky D.E. Self-focusing and transverse instabilities of solitary waves. Phys. Rep. 331 (2000) 118-195
199. Kivshar Yu.S., and Stegeman G.I. Spatial optical solitons. Opt. Photon. News 13 (2002) 59-63
200. Kivshar Yu.S., and Turitsyn S.K. Vector dark solitons. Opt. Lett. 18 (1993) 337-339
201. Kivshar Yu.S., and Yang X.P. Ring dark solitons. Phys. Rev. E 50 (1994) R40-R43
202. Klyshko D.N. Coherent decay of photons in a nonlinear medium. JETP Lett. 6 (1967) 23-25
203. Kosterlitz J.M., and Thouless D.J. Ordering, metastability and phase-transitions in 2 dimensional systems. J. Phys. C 6 (1973) 1181-1203
204. Koumura N., Zijlstra R.W.J., van Delden R.A., Harada N., and Feringa B.L. Light-driven monodirectional molecular rotor. Nature 401 (1999) 152-155
205. Kovachev L.M. Vortex solutions of the nonlinear optical Maxwell-Dirac equations. Physica D 190 (2004) 78-92
206. Krolikowski W., Akhmediev N., and Luther-Davies B. Multimode structure of bright and dark vector solitons in photorefractive media. Opt. Lett. 21 (1996) 782-784
207. Krolikowski W., Denz C., Stepken A., Saffman M., and Luther-Davies B. Interaction of spatial photorefractive solitons. Quantum Semicl. Opt. 10 (1998) 823-837
208. Krolikowski W., Luther-Davies B., Denz C., Petter J., Weilnau C., Stepken A., and Belic M. Interaction of two-dimensional spatial incoherent solitons in photorefractive medium. Appl. Phys. B 68 (1999) 975-982
209. Krolikowski W., McCarthy G., Kivshar Yu.S., Weilnau C., Denz C., Garcia-Ripoll J.J., and Perez-Garcia V.M. Scattering of dipole-mode vector solitons: theory and experiment. Phys. Rev. E 68 (2003) 016612-016619
210. Krolikowski W., Ostrovskaya E.A., Weilnau C., Geisser M., McCarthy G., Kivshar Yu.S., Denz C., and Luther-Davies B. Observation of dipole-mode vector solitons. Phys. Rev. Lett. 85 (2000) 1424-1427
211. Krolikowski W., Saffman M., Luther-Davies B., and Denz C. Anomalous interaction of spatial solitons in photorefractive media. Phys. Rev. Lett. 80 (1998) 3240-3243
212. Kruglov V.I., Logvin Y.A., and Volkov V.M. The theory of spiral laser-beams in nonlinear media. J. Mod. Opt. 39 (1992) 2277-2291
213. Kruglov V.I., and Vlasov R.A. Spiral self-trapping propagation of optical beams in media with cubic nonlinearity. Phys. Lett. A 111 (1985) 401-404
214. Kruglov V.I., Volkov V.M., Vlasov R.A., and Drits V.V. Auto-waveguide propagation and the collapse of spiral light-beams in non-linear media. J. Phys. A 21 (1988) 4381-4395
215. Langford N.K., Dalton R.B., Harvey M.D., O'Brien J.L., Pryde G.J., Gilchrist A., Bartlett S.D., and White A.G. Measuring entangled qutrits and their use for quantum bit commitment. Phys. Rev. Lett. 93 (2004) 053601-053604
216. Law C.T., Zhang X., and Swartzlander G.A. Waveguiding properties of optical vortex solitons. Opt. Lett. 25 (2000) 55-57
217. Leach J., Courtial J., Skeldon K., Barnett S.M., Franke-Arnold S., and Padgett M.J. Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon. Phys. Rev. Lett. 92 (2004) 013601-013604
218. Leach J., Padgett M.J., Barnett S.M., Franke-Arnold S., and Courtial J. Measuring the orbital angular momentum of a single photon. Phys. Rev. Lett. 88 (2002) 257901-257904
219. Leanhardt A.E., Shin Y., Kielpinski D., Pritchard D.E., and Ketterle W. Coreless vortex formation in a spinor Bose-Einstein condensate. Phys. Rev. Lett. 90 (2003) 140403-140406
220. Liu X., Beckwitt K., and Wise F. Generation of optical spatiotemporal solitons. Opt. Photon. News 11 (2000) 35-36
221. Lomdahl P.S., Olsen O.H., and Christiansen P.L. Return and collapse of solutions to the non-linear Schrödinger-equation in cylindrical symmetry. Phys. Lett. A 78 (1980) 125-128
222. Lugiato L.A. Introduction to the feature section on cavity solitons: an overview. IEEE J. Quantum Electron. 39 (2003) 193-196
223. Luther-Davies B., Powles R., and Tikhonenko V. Nonlinear rotation of 3-dimensional dark spatial solitons in a Gaussian laser-beam. Opt. Lett. 19 (1994) 1816-1818
224. Luther-Davies B., and Xiaoping Y. Waveguides and Y junctions formed in bulk media by using dark spatial solitons. Opt. Lett. 17 (1992) 496-498
225. Luther-Davies B., and Yang X. Steerable optical waveguides formed in self-defocusing media by using dark spatial solitons. Opt. Lett. 17 (1992) 1755-1757
226. MacDonald M.P., Paterson L., Volke-Sepulveda K., Arlt J., Sibbett W., and Dholakia K. Creation and manipulation of three-dimensional optically trapped structures. Science 296 (2002) 1101-1103
227. MacKay R.S., and Aubry S. Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Nonlinearity 7 (1994) 1623-1643
228. Madison K.W., Chevy F., Wohlleben W., and Dalibard J. Vortex formation in a stirred Bose-Einstein condensate. Phys. Rev. Lett. 84 (2000) 806-809
229. Maggipinto T., Brambilla M., and Firth W.J. Characterization of stationary patterns and their link with cavity solitons in semiconductor microresonators. IEEE J. Quantum Electron. 39 (2003) 206-215
230. Maimistov A., Malomed B., and Desyatnikov A. A potential of incoherent attraction between multidimensional solitons. Phys. Lett. A 254 (1999) 179-184
231. Mair A., Vaziri A., Weihs G., and Zeilinger A. Entanglement of the orbital angular momentum states of photons. Nature 412 (2001) 313-316
232. Makhankov V.G., Rubakov Y.P., and Sanyuk V.I. The Skyrme Model: Fundamentals, Methods, Applications (1993), Springer-Verlag, New York
233. Malmberg J.N., Carlsson A.H., Anderson D., Lisak M., Ostrovskaya E.A., and Kivshar Yu.S. Vector solitons in ( 2 + 1) dimensions. Opt. Lett. 25 (2000) 643-645
234. Malomed B.A. Bound solitons in the nonlinear Schrödinger-Ginzburg-Landau equation. Phys. Rev. A 44 (1991) 6954-6957
235. Malomed B.A. Potential of interaction between two- and three-dimensional solitons. Phys. Rev. E 58 (1998) 7928-7933
236. Malomed B.A. Variational methods in nonlinear fiber optics and related fields. In: Wolf E. (Ed). Progress in Optics vol. 43 (2002), North-Holland, Amsterdam 71-193
237. Malomed B.A., Crasovan L.C., and Mihalache D. Stability of vortex solitons in the cubic-quintic model. Physica D 161 (2002) 187-201
238. Malomed B.A., and Kevrekidis P.G. Discrete vortex solitons. Phys. Rev. E 64 (2001) 026601-026606
239. Malomed B.A., Mihalache D., Wise F., and Torner L. Spatiotemporal optical solitons. J. Opt. B-Quantum Semicl. Opt. 7 (2004) R53-R72
240. Malomed B.A., Peng G.D., Chu P.L., Towers I., Buryak A.V., and Sammut R.A. Stable helical solitons in optical media. Pramana-J. Phys. 57 (2001) 1061-1078
241. Mamaev A.V., Saffman M., and Zozulya A.A. Vortex evolution and bound pair formation in anisotropic nonlinear optical media. Phys. Rev. Lett. 77 (1996) 4544-4547
242. Mamaev A.V., Saffman M., and Zozulya A.A. Decay of high order optical vortices in anisotropic nonlinear optical media. Phys. Rev. Lett. 78 (1997) 2108-2111
243. Mamaev A.V., Saffman M., and Zozulya A.A. Propagation of a mutually incoherent optical vortex pair in anisotropic nonlinear media. J. Opt. B-Quantum Semicl. Opt. 6 (2004) S318-S322
244. Manakov S.V. On the theory of two-dimensional stationary self focussing of electromagnetic waves. JETP 38 (1974) 248-253
245. Mandel P. Theoretical Problems in Cavity Nonlinear Optics (1997), Cambridge University Press, Cambridge, UK
246. Mandel P., and Tlidi M. Transverse dynamics in cavity nonlinear optics (2000-2003). J. Opt. B-Quantum Semicl. Opt. 6 (2004) R60-R75
247. Manela O., Cohen O., Bartal G., Fleischer J.W., and Segev M. Two-dimensional higher-band vortex lattice solitons. Opt. Lett. 29 (2004) 2049-2051
248. Matthews M.R., Anderson B.P., Haljan P.C., Hall D.S., Wieman C.E., and Cornell E.A. Vortices in a Bose-Einstein condensate. Phys. Rev. Lett. 83 (1999) 2498-2501
249. McLeod R., Wagner K., and Blair S. ( 3 + 1)-dimensional optical soliton dragging logic. Phys. Rev. A 52 (1995) 3254-3278
250. Menyuk C.R. Pulse-propagation in an elliptically birefringent kerr medium. IEEE J. Quantum Electron. 25 (1989) 2674-2682
251. ( 2 ) cascading. J. Opt. Soc. Am. B 11 (1994) 2434-2443
252. Michinel H., Campo-Taboas J., Garcia-Fernandez R., Salgueiro J.R., and Quiroga-Teixeiro M.L. Liquid light condensates. Phys. Rev. E 65 (2002) 066604-066610
253. Michinel H., Campo-Taboas J., Quiroga-Teixeiro M.L., Salgueiro J.R., and Garcia-Fernandez R. Excitation of stable vortex solitons in nonlinear cubic-quintic materials. J. Opt. B-Quantum Semicl. Opt. 3 (2001) 314-317
254. Mihalache D., Mazilu D., Crasovan L.C., Malomed A., Lederer F., and Torner L. Soliton clusters in three-dimensional media with competing cubic and quintic nonlinearities. J. Opt. B-Quantum Semicl. Opt. 6 (2004) S333-S340
255. Mihalache D., Mazilu D., Crasovan L.C., Malomed B.A., and Lederer F. Azimuthal instability of spinning spatiotemporal solitons. Phys. Rev. E 62 (2000) R1505-R1508
256. Mihalache D., Mazilu D., Crasovan L.C., Malomed B.A., and Lederer F. Three-dimensional spinning solitons in the cubic-quintic nonlinear medium. Phys. Rev. E 61 (2000) 7142-7145
257. Mihalache D., Mazilu D., Crasovan L.C., Malomed B.A., Lederer F., and Torner L. Robust soliton clusters in media with competing cubic and quintic nonlinearities. Phys. Rev. E 68 (2003) 046612-046619
258. Mihalache D., Mazilu D., Crasovan L.C., Towers I., Buryak A.V., Malomed B.A., Torner L., Torres J.P., and Lederer F. Stable spinning optical solitons in three dimensions. Phys. Rev. Lett. 88 (2002) 073902-073905
259. Mihalache D., Mazilu D., Crasovan L.C., Towers I., Malomed B.A., Buryak A.V., Torner L., and Lederer F. Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities. Phys. Rev. E 66 (2002) 016613-016619
260. Mihalache D., Mazilu D., Towers I., Malomed B.A., and Lederer F. Stable two-dimensional spinning solitons in a bimodal cubic-quintic model with four-wave mixing. J. Opt. A-Pure Appl. Opt. 4 (2002) 615-623
261. Mihalache D., Mazilu D., Towers I., Malomed B.A., and Lederer F. Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium. Phys. Rev. E 67 (2003) 056608-056616
262. Minardi S., Molina-Terriza G., Di Trapani P., Torres J.P., and Torner L. Soliton algebra by vortex-beam splitting. Opt. Lett. 26 (2001) 1004-1006
263. ( 2 ) spatial soliton dynamics. Phys. Rev. Lett. 91 (2003) 123901-123904
264. Mingaleev S.F., and Kivshar Yu.S. Self-trapping and stable localized modes in nonlinear photonic crystals. Phys. Rev. Lett. 86 (2001) 5474-5477
265. Mitchell M., Segev M., and Christodoulides D.N. Observation of multihump multimode solitons. Phys. Rev. Lett. 80 (1998) 4657-4660
266. Mizushima T., Kobayashi N., and Machida K. Coreless and singular vortex lattices in rotating spinor Bose-Einstein condensates. Phys. Rev. A 70 (2004) 043613-043622
267. Molina-Terriza G., Petrov D.V., Recolons J., and Torner L. Observation of optical vortex streets in walking second-harmonic generation. Opt. Lett. 27 (2002) 625-627
268. Molina-Terriza G., and Torner L. Multicharged vortex evolution in seeded second-harmonic generation. J. Opt. Soc. Am. B 17 (2000) 1197-1204
269. Molina-Terriza G., Torner L., and Petrov D.V. Vortex streets in walking parametric wave mixing. Opt. Lett. 24 (1999) 899-901 Errata
270. Molina-Terriza G., Torner L., and Petrov D.V. Vortex streets in walking parametric wave mixing. Opt. Lett. 25 (2000) 767
271. Molina-Terriza G., Torres J.P., and Torner L. Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum. Phys. Rev. Lett. 88 (2002) 013601-013604
272. Molina-Terriza G., Torres J.P., and Torner L. Orbital angular momentum of photons in noncollinear parametric downconversion. Opt. Commun. 228 (2003) 155-160
273. Molina-Terriza G., Torres J.P., Torner L., and Soto-Crespo J.M. Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals. Opt. Commun. 158 (1998) 170-180
274. Molina-Terriza G., Vaziri A., Rehacek J., Hradil Z., and Zeilinger A. Triggered qutrits for quantum communication protocols. Phys. Rev. Lett. 92 (2004) 167903-167906
275. Molina-Terriza G., Vaziri A., Ursin R., and Zeilinger A. Experimental coin tossing. Phys. Rev. Lett. 94 (2005) 040501-040504
276. Montesinos G.D., Perez-Garcia V.M., and Michinel H. Stabilized two-dimensional vector solitons. Phys. Rev. Lett. 92 (2004) 133901-133904
277. Montesinos G.D., Perez-Garcia V.M., Michinel H., and Salgueiro J.R. Stabilized vortices in layered Kerr media. Phys. Rev. E 71 (2005) 036624
278. Morin M., Duree G., Salamo G., and Segev M. Waveguides formed by quasi-steady-state photorefractive spatial solitons. Opt. Lett. 20 (1995) 2066-2068
279. Motzek K., Jander P., Desyatnikov A., Belic M., Denz C., and Kaiser F. Dynamic counterpropagating vector solitons in saturable self-focusing media. Phys. Rev. E 68 (2003) 066611-066614
280. Motzek K., Kaiser F., Salgueiro J.R., Kivshar Y., and Denz C. Incoherent vector vortex-mode solitons in self-focusing nonlinear media. Opt. Lett. 29 (2004) 2285-2287
281. Motzek K., Kaiser F., Weilnau C., Denz C., McCarthy G., Krolikowski W., Desyatnikov A., and Kivshar Yu.S. Multi-component vector solitons in photorefractive crystals. Opt. Commun. 209 (2002) 501-506
282. Motzek K., Kivshar Y., Shih M.F., and Swartzlander Jr. G.A. Spatial coherence singularities and incoherent vortex solitons. nlin.PS/0410051
283. Motzek K., Kivshar Y., and Swartzlander Jr. G.A. Spatial coherence singularities of a vortex field in nonlinear media. nlin.PS/0407043
284. Motzek K., Stepken A., Kaiser F., Belić M.R., Ahles M., Weilnau C., and Denz C. Dipole-mode vector solitons in anisotropic photorefractive media. Opt. Commun. 197 (2001) 161-167
285. Mueller E.J. Spin textures in slowly rotating Bose-Einstein condensates. Phys. Rev. A 69 (2002) 033606-033609
286. Musslimani Z.H., Segev M., and Christodoulides D.N. Multicomponent two-dimensional solitons carrying topological charges. Opt. Lett. 25 (2000) 61-63
287. Musslimani Z.H., Segev M., Christodoulides D.N., and Soljacic M. Composite multihump vector solitons carrying topological charge. Phys. Rev. Lett. 84 (2000) 1164-1167
288. Musslimani Z.H., Soljacic M., Segev M., and Christodoulides D.N. Delayed-action interaction and spin-orbit coupling between solitons. Phys. Rev. Lett. 86 (2001) 799-802
289. Musslimani Z.H., Soljacic M., Segev M., and Christodoulides D.N. Interactions between two-dimensional composite vector solitons carrying topological charges. Phys. Rev. E 63 (2001) 066608-066617
290. Neil A.T., MacVicar I., Allen L., and Padgett M.J. Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. Phys. Rev. Lett. 88 (2002) 053601-053604
291. Neshev D., Dreischuh A., Assa M., and Dinev S. Motion control of ensembles of ordered optical vortices generated on finite extent background. Opt. Commun. 151 (1998) 413-421
292. Neshev D., Dreischuh A., Kamenov V., Stefanov I., Dinev S., Fliesser W., and Windholz L. Generation and intrinsic dynamics of ring dark solitary waves. Appl. Phys. B 64 (1997) 429-433
293. Neshev D., McCarthy G., Krolikowski W., Ostrovskaya E.A., Kivshar Yu.S., Calvo G.F., and Agullo-Lopez F. Dipole-mode vector solitons in anisotropic nonlocal selffocusing media. Opt. Lett. 26 (2001) 1185-1187
294. Neshev D., Ostrovskaya E., Kivshar Y., and Krolikowski W. Spatial solitons in optically induced gratings. Opt. Lett. 28 (2003) 710-712
295. Neshev D.N., Alexander T.J., Ostrovskaya E.A., Kivshar Yu.S., Martin H., Makasyuk I., and Chen Z.G. Observation of discrete vortex solitons in optically induced photonic lattices. Phys. Rev. Lett. 92 (2004) 123903-123907
296. Neu J.C. Vortices in complex scalar fields. Physica D 43 (1990) 385-406
297. Nore C., Brachet M.E., and Fauve S. Numerical study of hydrodynamics using the nonlinear Schrödinger equation. Physica D 65 (1993) 154-162
298. Nye J.F., and Berry M.V. Dislocations in wave trains. Proc. R. Soc. London Ser. A-Math. Phys. Eng. Sci. 336 (1974) 165-190
299. Oemrawsingh S.S.R., Aiello A., Eliel E.R., Nienhuis G., and Woerdman J.P. How to observe high-dimensional two-photon entanglement with only two detectors. Phys. Rev. Lett. 92 (2004) 217901-217904
300. Oppo G.L., Scroggie A.J., and Firth W.J. Characterization, dynamics and stabilization of diffractive domain walls and dark ring cavity solitons in parametric oscillators. Phys. Rev. E 63 (2001) 066209-066224
301. Ostrovskaya E.A., and Kivshar Yu.S. Nonlinear theory of soliton-induced waveguides. Opt. Lett. 23 (1998) 1268-1270
302. Ostrovskaya E.A., and Kivshar Yu.S. Matter-wave gap solitons in atomic band-gap structures. Phys. Rev. Lett. 90 (2003) 160407-160410
303. Ostrovskaya E.A., and Kivshar Yu.S. Photonic crystals for matter waves: Bose-Einstein condensates in optical lattices. Opt. Exp. 12 (2004) 19-29
304. Ostrovskaya E.A., Kivshar Yu.S., Chen Z.G., and Segev M. Interaction between vector solitons and solitonic gluons. Opt. Lett. 24 (1999) 327-329
305. Ostrovskaya E.A., Kivshar Yu.S., Skryabin D.V., and Firth W.J. Stability of multihump optical solitons. Phys. Rev. Lett. 83 (1999) 296-299
306. Ostrovskii L.A. Self-action of light in crystals. Pis'ma Zh. Éksp. Teor. Fiz. 5 (1967) 331-334 (in Russian). English translation
307. Ostrovskii L.A. Self-action of light in crystals. JETP Lett. 5 (1967) 272-275
308. Ovchinnikov Y.N., and Sigal I.M. Ginzburg-Landau equation I. Static vortices. Partial Differential Equations Applications 12 (1997) 199-220
309. Ovchinnikov Y.N., and Sigal I.M. The Ginzburg-Landau equation III. Vortex dynamics. Nonlinearity 11 (1998) 1277-1294
310. Ovchinnikov Y.N., and Sigal I.M. Long-time behaviour of Ginzburg-Landau vortices. Nonlinearity 11 (1998) 1295-1309
311. Ovchinnikov, Y.N., Sigal, I.M., 2000, Non-radially symmetric solutions to the Ginzburg-Landau equation, preprint, 1-40
312. Ovchinnikov Y.N., and Sigal I.M. The energy of Ginzburg-Landau vortices. Eur. J. Appl. Math. 13 (2002) 153-178
313. Padgett M., Courtial J., and Allen L. Light's orbital angular momentum. Phys. Today 57 (2004) 35-40
314. Padgett M., Courtial J., Allen L., Franke-Arnold S., and Barnett S. Entanglement of orbital angular momentum for the signal and idler beams in parametric down-conversion. J. Mod. Opt. 49 (2002) 777-785
315. Palacios D.M., Maleev I.D., Marathay A.S., and Swartzlander G.A. Spatial correlation singularity of a vortex field. Phys. Rev. Lett. 92 (2004) 143905-143908
316. Park Q.H., and Eberly J.H. Nontopological vortex in a two-component Bose-Einstein condensate. Phys. Rev. A 70 (2004) 021602R-021605R
317. Paterson L., MacDonald M.P., Arlt J., Sibbett W., Bryant P.E., and Dholakia K. Controlled rotation of optically trapped microscopic particles. Science 292 (2001) 912-914
318. Paz-Alonso M.J., Olivieri D., Michinel H., and Salgueiro J.R. Collisional dynamics of vortices in light condensates. Phys. Rev. E 69 (2004) 056601-056606
319. Peele A.G., McMahon P.J., Paterson D., Tran C.Q., Mancuso A.P., Nugent K.A., Hayes J.P., Harvey E., Lai B., and McNulty I. Observation of an X-ray vortex. Opt. Lett. 27 (2002) 1752-1754
320. Peele A.G., and Nugent K.A. X-ray vortex beams: a theoretical analysis. Opt. Exp. 11 (2003) 2315-2322
321. Pego R.L., and Warchall H.A. Spectrally stable encapsulated vortices for nonlinear Schrödinger equations. J. Nonlinear Sci. 12 (2002) 347-394
322. Perez-Garcia V.M., and Vekslerchik V. Soliton molecules in trapped vector nonlinear Schrödinger systems. Phys. Rev. E 67 (2003) 061804-061807
323. Peschel U., Etrich C., Lederer F., and Malomed B.A. Vectorial solitary waves in optical media with a quadratic nonlinearity. Phys. Rev. E 55 (1997) 7704-7711
324. Peschel U., Michaelis D., and Weiss C.O. Spatial solitons in optical cavities. IEEE J. Quantum Electron. 39 (2003) 51-64
325. Petrov D.V., Carrasco S., Molina-Terriza G., and Torner L. Deflection of quadratic solitons at edge dislocations. Opt. Lett. 28 (2003) 1439-1441
326. Petrov D.V., Molina-Terriza G., and Torner L. Vortex evolution in parametric wave mixing. Opt. Commun. 162 (1999) 357-366
327. Petrov D.V., and Torner L. Second-harmonic generation by intense beams containing phase dislocations: self-breaking into sets of solitons. Opt. Quantum Electron. 29 (1997) 1037-1046
328. Petrov D.V., and Torner L. Observation of topological charge pair nucleation in parametric wave mixing. Phys. Rev. E 58 (1998) 7903-7907
329. Petrov D.V., Torner L., Martorell J., Vilaseca R., Torres J.P., and Cojocaru C. Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal. Opt. Lett. 23 (1998) 1444-1446 Errata
330. Petrov D.V., Torner L., Martorell J., Vilaseca R., Torres J.P., and Cojocaru C. Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal. Opt. Lett. 23 (1998) 1787
331. Petter J., and Denz C. Guiding and dividing waves with photorefractive solitons. Opt. Commun. 188 (2001) 55-61
332. Petter J., Denz C., Stepken A., and Kaiser F. Anisotropic waveguides induced by photoreftactive ( 2 + 1)D solitons. J. Opt. Soc. Am. B 19 (2002) 1145-1149
333. Pigier C., Uzdin R., Carmon T., Segev M., Nepomnyashchy A., and Musslimani Z.H. Collisions between ( 2 + 1)D rotating propeller solitons. Opt. Lett. 26 (2001) 1577-1579
334. Pismen L.M. Vortices in Nonlinear Fields (1999), Clarendon Press, Oxford
335. Poladian L., Snyder A.W., and Mitchell D.J. Spiraling spatial solitons. Opt. Commun. 85 (1991) 59-62
336. Pu H., Baksmaty L.O., Yi S., and Bigelow N.P. Structural phase transitions of vortex matter in an optical lattice. cond-mat/0404750
337. Quiroga-Teixeiro M.L., Berntson A., and Michinel H. Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation. J. Opt. Soc. Am. B 16 (1999) 1697-1704
338. Quiroga-Teixeiro M., and Michinel H. Stable azimuthal stationary state in quintic nonlinear optical media. J. Opt. Soc. Am. B 14 (1997) 2004-2009
339. Raman C., Abo-Shaeer J.R., Vogels J.M., Xu K., and Ketterle W. Vortex nucleation in a stirred Bose-Einstein condensate. Phys. Rev. Lett. 87 (2001) 210402-210405
340. Ramazza P.L., Benkler E., Bortolozzo U., Boccaletti S., Ducci S., and Arecchi F.T. Tailoring the profile and interactions of optical localized structures. Phys. Rev. E 65 (2002) 066204-066207
341. Ramazza P.L., Bortolozzo U., and Pastur L. Phase singularities in triangular dissipative solitons. J. Opt. A-Pure Appl. Opt. 6 (2004) S266-S270
342. Ren C., Hemker R.G., Fonseca R.A., Duda B.J., and Mori W.B. Mutual attraction of laser beams in plasmas: braided light. Phys. Rev. Lett. 85 (2000) 2124-2127
343. Rozanov N.N. Mechanics of diffraction autosolitons: interaction with wavefront dislocations and formation of multiparticle configurations. Opt. Spectrosc. Engl. Trans. 73 (1992) 187-193
344. Rozanov N.N. Dissipative optical solitons. Usp. Fiz. Nauk 170 (2000) 462-465 (in Russian). English translation
345. Rozanov N.N. Dissipative optical solitons. Usp. Fiz. Nauk 43 (2000) 421-424
346. Rozanov N.N. Spatial Hysteresis and Optical Patterns (2002), Springer-Verlag, Berlin
347. Rozanov N.N., Fedorov A.V., Fedorov S.V., and Khodova G.V. New types of localized structures in laser radiation. Opt. Spektrosk. 79 (1995) 868-870 (in Russian). English translation
348. Rozanov N.N., Fedorov A.V., Fedorov S.V., and Khodova G.V. New types of localized structures in laser radiation. Opt. Spectrosc. Engl. Trans. 79 (1995) 795-797
349. Rozanov N.N., and Fedorov S.V. Diffraction waves of switching and autosolitons in a saturable-absorber laser. Opt. Spektrosk. 72 (1992) 1394-1399 (in Russian)
350. Rozanov N.N., Fedorov S.V., and Shatsev A.N. Nonstationary multivortex and fissionable soliton-like structures of laser radiation. Opt. Spectrosc. Engl. Trans. 95 (2003) 843-848
351. Rozanov N.N., Fedorov S.V., and Shatsev A.N. Energy-flow patterns and bifurcations of two-dimensional cavity solitons. JETP 98 (2004) 427-437
352. Rozanov N.N., Fedorov S.V., Shatsev A.N., and Loiko N.A. A three-soliton structure with strong and weak coupling in a wide-aperture laser with saturable absorption. Opt. Spectrosc. Engl. Trans. 97 (2004) 88-90
353. Rozanov N.N., and Khodova G.V. Switching of a bistable interferometer on localized inhomogeneities. Opt. Spektrosk. 65 (1988) 1399-1401 (in Russian)
354. Ruostekoski J. Stable particlelike solitons with multiply quantized vortex lines in Bose-Einstein condensates. Phys. Rev. A 70 (2004) 041601R-041604R
355. Saarikoski H., Harju A., Puska M.J., and Nieminen R.M. Vortex clusters in quantum dots. Phys. Rev. Lett. 93 (2004) 116802-116805
356. Sakaguchi H., and Malomed B.A. Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps. J. Phys. B-At. Mol. Opt. Phys. 37 (2004) 2225-2239
357. Salgueiro J.R., and Kivshar Yu.S. Waveguiding properties of optical vortex solitons. Ukr. J. Phys. 49 (2004) 327-332
358. Salgueiro J.R., and Kivshar Yu.S. Single- and double-vortex vector solitons in self-focusing nonlinear media. Phys. Rev. E 70 (2004) 056613-156619
359. Salgueiro J.R., Carlsson A.H., Ostrovskaya E., and Kivshar Y. Second-harmonic generation in vortex-induced waveguides. Opt. Lett. 29 (2004) 593-595
360. Saltiel S.M., Sukhorukov A.A., and Kivshar Yu.S. Multistep parametric processes in nonlinear optics. nlin.PS/0311013
361. Santagiustina M., Hernandez-Garcia E., San Miguel M., Scroggie A.J., and Oppo G.L. Polarization patterns and vectorial defects in type-II optical parametric oscillators. Phys. Rev. E 65 (2002) 036610-036623
362. Santamato E., Sasso A., Piccirillo B., and Vella A. Optical angular momentum transfer to transparent isotropic particles using laser beam carrying zero average angular momentum. Opt. Exp. 10 (2002) 871-878
363. Savage C.M., and Ruostekoski J. Energetically stable particlelike skyrmions in a trapped Bose-Einstein condensate. Phys. Rev. Lett. 91 (2003) 010403-010406
364. Schapers B., Ackemann T., and Lange W. Properties of feedback solitons in a single-mirror experiment. IEEE J. Quantum Electron. 39 (2003) 227-237
365. Schapers B., Feldmann M., Ackemann T., and Lange W. Interaction of localized structures in an optical pattern-forming system. Phys. Rev. Lett. 85 (2000) 748-751
366. Scheuer J., and Orenstein M. Optical vortices crystals: spontaneous generation in nonlinear semiconductor microcavities. Science 285 (1999) 230-233
367. Schiek R., Baek Y., and Stegeman G.I. One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides. Phys. Rev. E 53 (1996) 1138-1141
368. Schjodt-Eriksen J., Schmidt M.R., Rasmussen J.J., Christiansen P.L., Gaididei Y.B., and Berge L. Two-beam interaction in saturable media. Phys. Lett. A 246 (1998) 423-428
369. Schouten H.F., Gbur G., Visser T.D., and Wolf E. Phase singularities of the coherence functions in Young's interference pattern. Opt. Lett. 28 (2003) 968-970
370. Schweikhard V., Coddington I., Engels P., Tung S., and Cornell E.A. Vortex-lattice dynamics in rotating spinor Bose-Einstein condensates. Phys. Rev. Lett. 93 (2004) 210403-210406
371. Segev M. Optical spatial solitons. Opt. Quantum Electron. 30 (1998) 503-533
372. Segev M., Crosignani B., and Yariv A. Spatial solitons in photorefractive media. Phys. Rev. Lett. 68 (1992) 923-926
373. Shen Y.R. The Principles of Nonlinear Optics (1984), Wiley, New York
374. Sheppard A.P., and Haelterman M. Polarization-domain solitary waves of circular symmetry in Kerr media. Opt. Lett. 19 (1994) 859-861
375. Shih M.F., Chen Z.G., Mitchell M., Segev M., Lee H., Feigelson R.S., and Wilde J.P. Waveguides induced by photorefractive screening solitons. J. Opt. Soc. Am. B 14 (1997) 3091-3101
376. Shih M.F., Segev M., and Salamo G. Three-dimensional spiraling of interacting spatial solitons. Phys. Rev. Lett. 78 (1997) 2551-2554
377. Silberberg Y. Collapse of optical pulses. Opt. Lett. 15 (1990) 1282-1284
378. Simos C., Couderc V., and Barthelemy A. Expériences sur les interactions de type particulaire de solitons multicolores: fusion, répulsion, enroulement en spirale. J. Phys. IV France 12 (2002) 211-212
379. Simpson N.B., Allen L., and Padgett M.J. Optical tweezers and optical spanners with Laguerre-Gaussian modes. J. Mod. Opt. 43 (1996) 2485-2491
380. Simpson N.B., Dholakia K., Allen L., and Padgett M.J. Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. Opt. Lett. 22 (1997) 52-54
381. Skarka V., Aleksic N.B., and Berezhiani V.I. Dynamics of electromagnetic beam with phase dislocation in saturable nonlinear media. Phys. Lett. A 291 (2001) 124-132
382. Skarka V., Aleksic N.B., and Berezhiani V.I. Evolution of singular optical pulses towards vortex solitons and filamentation in air. Phys. Lett. A 319 (2003) 317-324
383. Skryabin D.V., and Firth W.J. Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media. Phys. Rev. E 58 (1998) 3916-3930
384. Skryabin D.V., and Firth W.J. Instabilities of higher-order parametric solitons: filamentation versus coalescence. Phys. Rev. E 58 (1998) R1252-R1255
385. Skryabin D.V., McSloy J.M., and Firth W.J. Stability of spiralling solitary waves in Hamiltonian systems. Phys. Rev. E 66 (2002) 055602-055605
386. Skryabin D.V., and Vladimirov A.G. Vortex induced rotation of clusters of localized states in the complex Ginzburg-Landau equation. Phys. Rev. Lett. 89 (2002) 044101-044104
387. Smektala F., Quemard C., Couderc V., and Barthelemy A. Non-linear optical properties of chalcogenide glasses measured by Z-scan. J. Non-Cryst. Solids 274 (2000) 232-237
388. Snyder A.W., Hewlett S.J., and Mitchell D.J. Dynamic spatial solitons. Phys. Rev. Lett. 72 (1994) 1012-1015
389. Snyder A.W., Poladian L., and Mitchell D.J. Stable black self-guided beams of circular symmetry in a bulk Kerr medium. Opt. Lett. 17 (1992) 789-791
390. Soljacic M., Sears S., and Segev M. Self-trapping of "necklace" beams in self-focusing Kerr media. Phys. Rev. Lett. 81 (1998) 4851-4854
391. Soljacic M., and Segev M. Self-trapping of "necklace-ring" beams in self-focusing Kerr media. Phys. Rev. E 62 (2000) 2810-2820
392. Soljacic M., and Segev M. Integer and fractional angular momentum borne on self-trapped necklace-ring beams. Phys. Rev. Lett. 86 (2001) 420-423
393. Soskin M.S., and Vasnetsov M.V. Nonlinear singular optics. Pure Appl. Opt. 7 (1998) 301-311
394. Soskin M.S., and Vasnetsov M.V. Singular optics. In: Wolf E. (Ed). Progress in Optics vol. 42 (2001), North-Holland, Amsterdam 219-276
395. Soto-Crespo J.M., Heatley D.R., Wright E.M., and Akhmediev N.N. Stability of the higher-bound states in a saturable self-focusing medium. Phys. Rev. A 44 (1991) 636-644
396. Soto-Crespo J.M., Wright E.M., and Akhmediev N.N. Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium. Phys. Rev. A 45 (1992) 3168-3175
397. Spiegel E.A. Fluid dynamical form of the linear and nonlinear Schrödinger equations. Physica D 1 (1980) 236-240
398. Stabinis A., Orlov S., and Jarutis V. Interaction of Bessel optical vortices in quadratic nonlinear medium. Opt. Commun. 197 (2001) 419-429
399. Steblina V.V., Kivshar Yu.S., and Buryak A.V. Scattering and spiraling of solitons in a bulk quadratic medium. Opt. Lett. 23 (1998) 156-158
400. Stegeman G.I. Quadratic spatial optical solitons. Photon. Sci. News 5 (1999) 19-26
401. Stegeman G.I. Experiments on quadratic solitons. In: Boardman A.D., and Sukhorukov A.P. (Eds). Soliton-Driven Photonics. NATO Science Series: II: Mathematics, Physics and Chemistry vol. 31 (2001), Kluwer, Boston
402. ( 2 ) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons. Opt. Quantum Electron. 28 (1996) 1691-1740 Corrigendum
403. ( 2 ) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons. Opt. Quantum Electron. 29 (1997) 532
404. Stegeman G.I., Schiek R., and Fuerst R. Experiments on quadratic spatial solitons. In: Boardman A.D., Pavlov L., and Tanev S. (Eds). Advanced Photonics with Second-Order Optically Nonlinear Processes. NATO Science Series. 3. High Technology vol. 61 (1997), Kluwer, Boston 133-161
405. Stegeman G.I., and Segev M. Optical spatial solitons and their interactions: universality and diversity. Science 286 (1999) 1518-1523
406. Stegeman G.I., Sheik-Bahae M., Vanstryland E., and Assanto G. Large nonlinear phase-shifts in 2nd-order nonlinear-optical processes. Opt. Lett. 18 (1993) 13-15
407. Stepken A., Belic M.R., Kaiser F., Krolikowski W., and Luther-Davies B. Three dimensional trajectories of interacting incoherent photorefractive solitons. Phys. Rev. Lett. 82 (1999) 540-543
408. Stepken A., Kaiser F., Belic M.R., and Krolikowski W. Interaction of incoherent two-dimensional photorefractive solitons. Phys. Rev. E 58 (1998) R4112-R4115
409. Sukhorukov A.P. Quadratic solitons: theory. In: Boardman A.D., and Sukhorukov A.P. (Eds). Soliton-Driven Photonics. NATO Science Series: II: Mathematics, Physics and Chemistry vol. 31 (2001), Kluwer, Boston 423-443
410. Swartzlander G.A., and Law C.T. Optical vortex solitons observed in Kerr nonlinear media. Phys. Rev. Lett. 69 (1992) 2503-2506
411. Tamm C., and Weiss C.O. Bistability and optical switching of spatial patterns in a laser. J. Opt. Soc. Am. B 7 (1990) 1034-1038
412. Tikhonenko V., and Akhmediev N.N. Excitation of vortex solitons in a Gaussian beam configuration. Opt. Commun. 126 (1996) 108-112
413. Tikhonenko V., Christou J., and Luther-Davies B. Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium. J. Opt. Soc. Am. B 12 (1995) 2046-2052
414. Tikhonenko V., Christou J., and Luther-Davies B. Three dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium. Phys. Rev. Lett. 76 (1996) 2698-2701
415. Tikhonenko V., Kivshar Yu.S., Steblina V.V., and Zozulya A.A. Vortex solitons in a saturable optical medium. J. Opt. Soc. Am. B 15 (1998) 79-86
416. Tlidi M., Vladimirov A.G., and Mandel P. Interaction and stability of periodic and localized structures in optical bistable systems. IEEE J. Quantum Electron. 39 (2003) 216-226
417. Torner L. Spatial solitons in quadratic nonlinear media. In: Kajzer F., and Reinisch R. (Eds). Beam Shaping and Control with Nonlinear Optics (1998), Plenum, New York 229-258
418. Torner L., and Barthelemy A. Quadratic solitons: recent developments. IEEE J. Quantum Electron. 39 (2003) 22-30
419. Torner L., and Petrov D.V. Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation. Electron. Lett. 33 (1997) 608-610
420. Torner L., and Petrov D.V. Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media. J. Opt. Soc. Am. B 14 (1997) 2017-2023
421. Torner L., and Stegeman G.I. Multicolor solitons. Opt. Photon. News 12 (2001) 36-39
422. Torner L., and Sukhorukov A.P. Quadratic solitons. Opt. Photon. News 13 (2002) 42-47
423. Torner L., Torres J.P., Petrov D.V., and Soto-Crespo J.M. From topological charge information to sets of solitons in quadratic non-linear media. Opt. Quantum Electron. 30 (1998) 809-827
424. Torres J.P., Alexandrescu A., Carrasco S., and Torner L. Quasi-phase-matching engineering for spatial control of entangled two-photon states. Opt. Lett. 29 (2004) 376-378
425. Torres J.P., Alexandrescu A., and Torner L. Quantum spiral bandwidth of entangled two-photon states. Phys. Rev. A 68 (2003) 050301-050304
426. Torres J.P., Deyanova Y., Torner L., and Molina-Terriza G. Preparation of engineered two-photon entangled states for multidimensional quantum information. Phys. Rev. A 67 (2003) 052313-052317
427. Torres J.P., Osorio C.I., and Torner L. Orbital angular momentum of entangled counterpropagating photons. Opt. Lett. 29 (2004) 1939-1941
428. Torres J.P., Soto-Crespo J.M., Torner L., and Petrov D.V. Solitary-wave vortices in quadratic nonlinear media. J. Opt. Soc. Am. B 15 (1998) 625-627
429. Torres J.P., Soto-Crespo J.M., Torner L., and Petrov D.V. Solitary-wave vortices in type II second-harmonic generation. Opt. Commun. 149 (1998) 77-83
430. Torruellas W.E., Kivshar Yu.S., and Stegeman G.I. Quadratic solitons. In: Trillo S., and Torruellas W.E. (Eds). Spatial Optical Solitons. Springer Series in Optical Sciences vol. 82 (2001), Springer-Verlag, New York 127-168
431. Torruellas W.E., Wang Z., Hagan D.J., Vanstryland E.W., Stegeman G.I., Torner L., and Menyuk C.R. Observation of 2-dimensional spatial solitary waves in a quadratic medium. Phys. Rev. Lett. 74 (1995) 5036-5039
432. Towers I., Buryak A.V., Sammut R.A., and Malomed B.A. Stable localized vortex solitons. Phys. Rev. E 63 (2001) 055601-055604
433. Towers I., Buryak A.V., Sammut R.A., Malomed B.A., Crasovan L.C., and Mihalache D. Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation. Phys. Lett. A 288 (2001) 292-298
434. Towers I., and Malomed B.A. Stable ( 2 + 1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity. J. Opt. Soc. Am. B 19 (2002) 537-543
435. Truscott A.G., Friese M.E.J., Heckenberg N.R., and Rubinsztein-Dunlop H. Optically written waveguide in an atomic vapor. Phys. Rev. Lett. 82 (1999) 1438-1441
436. Turner L.D., Dhal B.B., Hayes J.P., Mancuso A.P., Nugent K.A., Paterson D., Scholten R.E., Tran C.Q., and Peele A.G. X-ray phase imaging: demonstration of extended conditions with homogeneous objects. Opt. Exp. 12 (2004) 2960-2965
437. Vahala K.J. Optical microcavities. Nature 424 (2003) 839-846
438. Vakhitov N.G., and Kolokolov A.A. Stationary solutions of the wave equation in the medium with nonlinearity saturation. Izv. Vyssh. Uchebn. Zaved. Radiofiz. 16 (1973) 1020-1028 (in Russian). English translation
439. Vakhitov N.G., and Kolokolov A.A. Stationary solutions of the wave equation in the medium with nonlinearity saturation. Radiophys. Quantum Electron. 16 (1973) 783-789
440. Van Enk S.J., and Nienhuis G. Europhys. Lett. 25 (1994) 497
441. Van Enk S.J., and Nienhuis G. Commutation rules and eigenvalues of spin and orbital angular momentum of radiation fields. J. Mod. Opt. 41 (1994) 963-977
442. In: Vasnetsov M., and Staliunas K. (Eds). Optical Vortices. Horizons in World Physics vol. 228 (1999), Nova Sciences Publishers, New York
443. Vasnetsov M.V., Slyusar V.V., and Soskin M.S. Mode separator for a beam with an off-axis optical vortex. Quantum Electron. 31 (2001) 464-466
444. Vaziri A., Pan J.W., Jennewein T., Weihs G., and Zeilinger A. Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum. Phys. Rev. Lett. 91 (2003) 227902-227905
445. Vaziri A., Weihs G., and Zeilinger A. Experimental two-photon, three-dimensional entanglement for quantum communication. Phys. Rev. Lett. 89 (2002) 240401-240404
446. Velchev I., Dreischuh A., Neshev D., and Dinev S. Interactions of optical vortex solitons superimposed on different background beams. Opt. Commun. 130 (1996) 385-392
447. Velchev I., Dreischuh A., Neshev D., and Dinev S. Multiple-charged optical vortex solitons in bulk Kerr media. Opt. Commun. 140 (1997) 77-82
448. Visser J., Eliel E.R., and Nienhuis G. Polarization entanglement in a crystal with threefold symmetry. Phys. Rev. A 66 (2002) 033814
449. Vladimirov A.G., McSloy J.M., Skryabin D.V., and Firth W.J. Two-dimensional clusters of solitary structures in driven optical cavities. Phys. Rev. E 65 (2002) 046606-046616
450. Volyar A.V. Fiber singular optics. Ukr. J. Phys. Opt. 3 (2002) 69-96
451. Weiss C.O. Earlier research revealed 'liquid light'. Laser Focus World 39 (2003) 6-7
452. Weiss C.O., Staliunas K., Vaupel M., Taranenko V.B., Slekys G., and Larionova Y. Vortices and spatial solitons in optical resonators and the relations to other fields of physics. In: Ball R., and Akhmediev N. (Eds). World Sc. Lectures in Compl. Syst. (2003), World Scientific, Singapore 315-368
453. Weiss C.O., Vaupel M., Staliunas K., Slekys G., and Taranenko V.B. Solitons and vortices in lasers. Appl. Phys. B 68 (1999) 151-168
454. Williams J.E., and Holland M.J. Preparing topological states of a Bose-Einstein condensate. Nature 401 (1999) 568-572
455. Wise F., and Di Trapani P. The hunt for light bullets - spatiotemporal solitons. Opt. Photon. News 13 (2002) 28-32
456. Wright E.M., Lawrence B.L., Torruellas W., and Stegeman G. Stable self-trapping and ring formation in polydiacetylene para-toluene sulfonate. Opt. Lett. 20 (1995) 2481-2483
457. Xu Z., Kartashov Ya.V., Crasovan L.C., Mihalache D., and Torner L. Multicolor vortex solitons in two-dimensional photonic lattices. Phys. Rev. E 71 (2004) 016616-016621
458. Yakimenko A., Zaliznyak Yu., and Kivshar Yu. Stable vortex solitons in nonlocal self-focusing nonlinear media. nlin.PS/0411024
459. Yan M., and Shum P. Antiguiding in microstructured optical fibers. Opt. Exp. 12 (2004) 104-116
460. Yanauskas Z.K. Sov. Radiopys. 9 (1966) 261
461. Yang J. Stability of vortex solitons in a photorefractive optical lattice. New J. Phys. 6 (2004) 47
462. Yang J., and Musslimani Z.H. Fundamental and vortex solitons in a two-dimensional optical lattice. Opt. Lett. 28 (2003) 2094-2096
463. Yang J.K., Makasyuk I., Bezryadina A., and Chen Z. Dipole solitons in optically induced two-dimensional photonic lattices. Opt. Lett. 29 (2004) 1662-1664
464. Yang J.K., and Pelinovsky D.E. Stable vortex and dipole vector solitons in a saturable nonlinear medium. Phys. Rev. E 67 (2003) 016608-016619
465. Yang Q.M., and Bergman K. Performances of the data vortex switch architecture under nonuniform and bursty traffic. J. Lightwave Technol. 20 (2002) 1242-1247
466. Ye F., Wang J., Dong L., and Li Y.P. Suppression of modulational instability of ring vector solitons. Opt. Commun. 230 (2004) 219-223
467. Zakharov V.E., Sobolev V.V., and Synakh V.S. Behavior of light beams in nonlinear media. Zh. Éksp. Teor. Fiz. 60 (1971) 136-145 (in Russian). English translation
468. Zakharov V.E., Sobolev V.V., and Synakh V.S. Behavior of light beams in nonlinear media. JETP 33 (1971) 77
469. Zhai H., Chen W.Q., Xu Z., and Chang L. Skyrmion excitation in a two-dimensional spinor Bose-Einstein condensate. Phys. Rev. A 68 (2003) 043602-043607
470. Zhan C.L., Zhang D.Q., Zhu D.B., Wang D.Y., Li Y.J., Li D.H., Lu Z.Z., Zhao L.Z., and Nie Y.X. Third- and fifth-order optical nonlinearities in a new stilbazolium derivative. J. Opt. Soc. Am. B 19 (2002) 369-375
471. Zozulya A.A., Anderson D.Z., Mamaev A.V., and Saffman M. Solitary attractors and low-order filamentation in anisotropic self-focusing media. Phys. Rev. A 57 (1998) 522-534