-
1
-
-
0001159839
-
Unification of linear and nonlinear guided wave optics
-
A. W. Snyder, D. J. Mitchell, and Yu. S. Kivshar, "Unification of linear and nonlinear guided wave optics," Mod. Phys. Lett. B 9, 1479-1506 (1995).
-
(1995)
Mod. Phys. Lett. B
, vol.9
, pp. 1479-1506
-
-
Snyder, A.W.1
Mitchell, D.J.2
Kivshar, Yu.S.3
-
2
-
-
0000051377
-
Effect of the gradient of a strong electromagnetic beam on electrons and atoms
-
The use of the nonlinearity-induced refractive-index change created by an intense beam for guiding particles (electrons and atoms) was suggested even earlier; see G. A. Askar'yan, "Effect of the gradient of a strong electromagnetic beam on electrons and atoms," Sov. Phys. JETP 15, 1088-1090 (1962) [ Zh. Eksp. Teor. Fiz. 42, 1567-1570 (1962)].
-
(1962)
Sov. Phys. JETP
, vol.15
, pp. 1088-1090
-
-
Askar'yan, G.A.1
-
3
-
-
0000696891
-
-
The use of the nonlinearity-induced refractive-index change created by an intense beam for guiding particles (electrons and atoms) was suggested even earlier; see G. A. Askar'yan, "Effect of the gradient of a strong electromagnetic beam on electrons and atoms," Sov. Phys. JETP 15, 1088-1090 (1962) [ Zh. Eksp. Teor. Fiz. 42, 1567-1570 (1962)].
-
(1962)
Zh. Eksp. Teor. Fiz.
, vol.42
, pp. 1567-1570
-
-
-
4
-
-
36149003887
-
Self-trapping of optical beams
-
R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-480 (1964).
-
(1964)
Phys. Rev. Lett.
, vol.13
, pp. 479-480
-
-
Chiao, R.Y.1
Garmire, E.2
Townes, C.H.3
-
5
-
-
0001035750
-
Self-focusing and self-trapping of intense light beams in a nonlinear medium
-
S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, "Self-focusing and self-trapping of intense light beams in a nonlinear medium," Sov. Phys. JETP 23, 1025-1033 (1966) [Zh. Eksp. Teor. Fiz. 50, 1537-1549 (1966)].
-
(1966)
Sov. Phys. JETP
, vol.23
, pp. 1025-1033
-
-
Akhmanov, S.A.1
Sukhorukov, A.P.2
Khokhlov, R.V.3
-
6
-
-
0000291664
-
-
S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, "Self-focusing and self-trapping of intense light beams in a nonlinear medium," Sov. Phys. JETP 23, 1025-1033 (1966) [Zh. Eksp. Teor. Fiz. 50, 1537-1549 (1966)].
-
(1966)
Zh. Eksp. Teor. Fiz.
, vol.50
, pp. 1537-1549
-
-
-
7
-
-
84975555760
-
Induced waveguiding effects in a two-dimensional nonlinear medium
-
J. T. Manassah, "Induced waveguiding effects in a two-dimensional nonlinear medium," Opt. Lett. 16, 587-589 (1991).
-
(1991)
Opt. Lett.
, vol.16
, pp. 587-589
-
-
Manassah, J.T.1
-
8
-
-
84975538380
-
Self-induced optical fibers: Spatial solitary waves
-
A. W. Snyder, D. J. Mitchell, and F. Ladouceur, "Self-induced optical fibers: spatial solitary waves," Opt. Lett. 10, 21-23 (1991).
-
(1991)
Opt. Lett.
, vol.10
, pp. 21-23
-
-
Snyder, A.W.1
Mitchell, D.J.2
Ladouceur, F.3
-
9
-
-
0026420432
-
Self-guided beam interaction: Method of invariants
-
D. J. Mitchell, A. W. Snyder, and L. Poladian, "Self-guided beam interaction: method of invariants," Electron. Lett. 27, 848-849 (1991).
-
(1991)
Electron. Lett.
, vol.27
, pp. 848-849
-
-
Mitchell, D.J.1
Snyder, A.W.2
Poladian, L.3
-
10
-
-
0026204679
-
Spiralling spatial solitons
-
L. Poladian, A. W. Snyder, and D. J. Mitchell, "Spiralling spatial solitons," Opt. Commun. 85, 59-62 (1991).
-
(1991)
Opt. Commun.
, vol.85
, pp. 59-62
-
-
Poladian, L.1
Snyder, A.W.2
Mitchell, D.J.3
-
11
-
-
84975571107
-
Stable black self-guided beams of circular symmetry in a bulk Kerr medium
-
In a defocusing Kerr medium, the only known stable soliton is "a black spatial soliton of circular cross section" (sometimes called a vortex soliton; see Ref. 10), first predicted in optics in the paper by A. W. Snyder, L. Poladian, and D. J. Mitchell, "Stable black self-guided beams of circular symmetry in a bulk Kerr medium," Opt. Lett. 17, 789-791 (1992). This letter is also the first to suggest such solitons as suitable for guiding signals.
-
(1992)
Opt. Lett.
, vol.17
, pp. 789-791
-
-
Snyder, A.W.1
Poladian, L.2
Mitchell, D.J.3
-
12
-
-
0000187990
-
On the theory of superfluidity
-
As spatially localized solutions of the defocusing cubic nonlinear Schrödinger equation, vortex solitons were first introduced by V. L. Ginzburg and L. P. Pitaevski, "On the theory of superfluidity," Sov. Phys. JETP 7, 858-861 (1959) [Zh. Eksp. Teor. Fiz. 34, 1240-1245 (1958)]; see also L. P. Pitaevski, "Vortex lines in an imperfect Bose gas," Sov. Phys. JETP 13, 451-454 (1961) [Zh. Eksp. Teor. Fiz. 40, 646-651 (1961)], on topological excitations in superfluids. The term vortex had been used much earlier for different (linear) physical processes and for different defining equations.
-
(1959)
Sov. Phys. JETP
, vol.7
, pp. 858-861
-
-
Ginzburg, V.L.1
Pitaevski, L.P.2
-
13
-
-
0000187993
-
-
As spatially localized solutions of the defocusing cubic nonlinear Schrödinger equation, vortex solitons were first introduced by V. L. Ginzburg and L. P. Pitaevski, "On the theory of superfluidity," Sov. Phys. JETP 7, 858-861 (1959) [Zh. Eksp. Teor. Fiz. 34, 1240-1245 (1958)]; see also L. P. Pitaevski, "Vortex lines in an imperfect Bose gas," Sov. Phys. JETP 13, 451-454 (1961) [Zh. Eksp. Teor. Fiz. 40, 646-651 (1961)], on topological excitations in superfluids. The term vortex had been used much earlier for different (linear) physical processes and for different defining equations.
-
(1958)
Zh. Eksp. Teor. Fiz.
, vol.34
, pp. 1240-1245
-
-
-
14
-
-
0000196586
-
Vortex lines in an imperfect Bose gas
-
As spatially localized solutions of the defocusing cubic nonlinear Schrödinger equation, vortex solitons were first introduced by V. L. Ginzburg and L. P. Pitaevski, "On the theory of superfluidity," Sov. Phys. JETP 7, 858-861 (1959) [Zh. Eksp. Teor. Fiz. 34, 1240-1245 (1958)]; see also L. P. Pitaevski, "Vortex lines in an imperfect Bose gas," Sov. Phys. JETP 13, 451-454 (1961) [Zh. Eksp. Teor. Fiz. 40, 646-651 (1961)], on topological excitations in superfluids. The term vortex had been used much earlier for different (linear) physical processes and for different defining equations.
-
(1961)
Sov. Phys. JETP
, vol.13
, pp. 451-454
-
-
Pitaevski, L.P.1
-
15
-
-
0000189868
-
-
As spatially localized solutions of the defocusing cubic nonlinear Schrödinger equation, vortex solitons were first introduced by V. L. Ginzburg and L. P. Pitaevski, "On the theory of superfluidity," Sov. Phys. JETP 7, 858-861 (1959) [Zh. Eksp. Teor. Fiz. 34, 1240-1245 (1958)]; see also L. P. Pitaevski, "Vortex lines in an imperfect Bose gas," Sov. Phys. JETP 13, 451-454 (1961) [Zh. Eksp. Teor. Fiz. 40, 646-651 (1961)], on topological excitations in superfluids. The term vortex had been used much earlier for different (linear) physical processes and for different defining equations.
-
(1961)
Zh. Eksp. Teor. Fiz.
, vol.40
, pp. 646-651
-
-
-
16
-
-
0027573588
-
Collisons, steering and guidance with spatial solitons
-
A. W. Snyder and A. P. Sheppard, "Collisons, steering and guidance with spatial solitons," Opt. Lett. 18, 482-484 (1993).
-
(1993)
Opt. Lett.
, vol.18
, pp. 482-484
-
-
Snyder, A.W.1
Sheppard, A.P.2
-
17
-
-
0000894455
-
Dynamic spatial solitons
-
A. W. Snyder, S. Hewlett, and D. J. Mitchell, "Dynamic spatial solitons," Phys. Rev. Lett. 72, 1012-1016 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 1012-1016
-
-
Snyder, A.W.1
Hewlett, S.2
Mitchell, D.J.3
-
18
-
-
0038907193
-
Periodic solitons in optics
-
A. W. Snyder, S. Hewlett, and D. J. Mitchell, "Periodic solitons in optics," Phys. Rev. E 51, 6297-6300 (1995).
-
(1995)
Phys. Rev. E
, vol.51
, pp. 6297-6300
-
-
Snyder, A.W.1
Hewlett, S.2
Mitchell, D.J.3
-
19
-
-
0029310257
-
Parallel spatial solitons
-
A. W. Snyder, D. J. Mitchell, and M. Haelterman, "Parallel spatial solitons," Opt. Commun. 116, 365-368 (1995).
-
(1995)
Opt. Commun.
, vol.116
, pp. 365-368
-
-
Snyder, A.W.1
Mitchell, D.J.2
Haelterman, M.3
-
20
-
-
3943077473
-
Interacting self-guided beams viewed as particles: Lorentz force derivation
-
D. J. Mitchell, A. W. Snyder, and L. Poladian, "Interacting self-guided beams viewed as particles: Lorentz force derivation," Phys. Rev. Lett. 77, 271-273 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 271-273
-
-
Mitchell, D.J.1
Snyder, A.W.2
Poladian, L.3
-
21
-
-
0002262923
-
Mighty morphing spatial solitons and bullets
-
A. W. Snyder and D. J. Mitchell, "Mighty morphing spatial solitons and bullets," Opt. Lett. 22, 16-18 (1997).
-
(1997)
Opt. Lett.
, vol.22
, pp. 16-18
-
-
Snyder, A.W.1
Mitchell, D.J.2
-
22
-
-
84894401340
-
Linear perspective of solitons
-
A. Hasegawa, ed. Kluwer Academic, Amsterdam
-
A. W. Snyder, D. J. Mitchell, and Yu. S. Kivshar, "Linear perspective of solitons," in Physics and Applications of Optical Solitons in Fibers, A. Hasegawa, ed. (Kluwer Academic, Amsterdam, 1996), pp. 263-275.
-
(1996)
Physics and Applications of Optical Solitons in Fibers
, pp. 263-275
-
-
Snyder, A.W.1
Mitchell, D.J.2
Kivshar, Yu.S.3
-
23
-
-
0030399323
-
The linear perspective to soliton dynamics
-
A. W. Snyder, "The linear perspective to soliton dynamics," Opt. Photonics News 7(12), 27-28 (1996).
-
(1996)
Opt. Photonics News
, vol.7
, Issue.12
, pp. 27-28
-
-
Snyder, A.W.1
-
24
-
-
84894392339
-
Dark optical solitons: Physics and applications
-
to be published
-
Yu. S. Kivshar and B. Luther-Davies, "Dark optical solitons: physics and applications," Phys. Rep. (to be published).
-
Phys. Rep.
-
-
Kivshar, Yu.S.1
Luther-Davies, B.2
-
25
-
-
0030541116
-
Qualitative theory of bright solitons-the soliton sketch
-
A. W. Snyder, D. J. Mitchell, and A. V. Buryak, "Qualitative theory of bright solitons-the soliton sketch," J. Opt. Soc. Am. B 13, 1146-1150 (1996).
-
(1996)
J. Opt. Soc. Am. B
, vol.13
, pp. 1146-1150
-
-
Snyder, A.W.1
Mitchell, D.J.2
Buryak, A.V.3
-
27
-
-
3643103166
-
The growing family of spatial solitons
-
For the most recent overview of the experimental observations of spatial optical solitons, see the paper by G. I. Stegeman, "The growing family of spatial solitons," Opt. Appl. 26, 240-248 (1996).
-
(1996)
Opt. Appl.
, vol.26
, pp. 240-248
-
-
Stegeman, G.I.1
-
28
-
-
0000440099
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118-134 (1971) [Sov. Phys. JETP 34, 62-69 (1972)].
-
(1971)
Zh. Eksp. Teor. Fiz.
, vol.61
, pp. 118-134
-
-
Zakharov, V.E.1
Shabat, A.B.2
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29
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0009296146
-
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V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118-134 (1971) [Sov. Phys. JETP 34, 62-69 (1972)].
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(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
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-
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30
-
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0000127687
-
Self-focusing of optical beams
-
P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005-1008 (1965).
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 1005-1008
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Kelley, P.L.1
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31
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33646974037
-
Stationary solutions of the wave equation in a medium with nonlinearity saturation
-
M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Radiophys. Quantum Electron. 16, 783-789 (1973); applies only for a Kerr medium and no waveguide structures.
-
(1973)
Radiophys. Quantum Electron.
, vol.16
, pp. 783-789
-
-
Vakhitov, M.G.1
Kolokolov, A.A.2
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32
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84975597464
-
Stability of fundamental nonlinear guided waves
-
D. J. Mitchell and A. W. Snyder, "Stability of fundamental nonlinear guided waves," J. Opt. Soc. Am. B 10, 1572-1580 (1993); applicable to all nonlinearities and also in the presence of waveguide structures.
-
(1993)
J. Opt. Soc. Am. B
, vol.10
, pp. 1572-1580
-
-
Mitchell, D.J.1
Snyder, A.W.2
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33
-
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36049056329
-
Dynamic formation of a small-scale filament
-
See, e.g., J. H. Marburger and E. L. Dawes, "Dynamic formation of a small-scale filament," Phys. Rev. Lett. 21, 556-558 (1968); E. L. Dawes and J. H. Marburger, "Computer studies in self-focusing," Phys. Rev. 179, 862-868 (1969).
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(1968)
Phys. Rev. Lett.
, vol.21
, pp. 556-558
-
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Marburger, J.H.1
Dawes, E.L.2
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34
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36049053022
-
Computer studies in self-focusing
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See, e.g., J. H. Marburger and E. L. Dawes, "Dynamic formation of a small-scale filament," Phys. Rev. Lett. 21, 556-558 (1968); E. L. Dawes and J. H. Marburger, "Computer studies in self-focusing," Phys. Rev. 179, 862-868 (1969).
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(1969)
Phys. Rev.
, vol.179
, pp. 862-868
-
-
Dawes, E.L.1
Marburger, J.H.2
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35
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3843056194
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Two-dimensional and three-dimensional envelope solitons
-
P. K. Kaw, K. Nishikawa, Y. Yoshida, and A. Hasegawa, "Two-dimensional and three-dimensional envelope solitons," Phys. Rev. Lett. 35, 88-91 (1975); J. Z. Wilcox and T. J. Wilcox, "Stability of localized plasma model in two and three dimensions," Phys. Rev. Lett. 34, 1160-1163 (1975).
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(1975)
Phys. Rev. Lett.
, vol.35
, pp. 88-91
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Kaw, P.K.1
Nishikawa, K.2
Yoshida, Y.3
Hasegawa, A.4
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36
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0009170044
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Stability of localized plasma model in two and three dimensions
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P. K. Kaw, K. Nishikawa, Y. Yoshida, and A. Hasegawa, "Two-dimensional and three-dimensional envelope solitons," Phys. Rev. Lett. 35, 88-91 (1975); J. Z. Wilcox and T. J. Wilcox, "Stability of localized plasma model in two and three dimensions," Phys. Rev. Lett. 34, 1160-1163 (1975).
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(1975)
Phys. Rev. Lett.
, vol.34
, pp. 1160-1163
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Wilcox, J.Z.1
Wilcox, T.J.2
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37
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Spatial solitons in photorefractive media
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M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).
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Phys. Rev. Lett.
, vol.68
, pp. 923-926
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Segev, M.1
Crosignani, B.2
Yariv, A.3
Fischer, B.4
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38
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0010316845
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Observation of self-trapping in an optical beam due to the photorefractive effect
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G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping in an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).
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(1993)
Phys. Rev. Lett.
, vol.71
, pp. 533-536
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Duree, G.C.1
Shultz, J.L.2
Salamo, G.J.3
Segev, M.4
Yariv, A.5
Crosignani, B.6
DiPorto, P.7
Sharp, E.J.8
Neurgaonkar, R.R.9
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39
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3342975405
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Steady-state spatial screening solitons in photorefractive materials with external applied field
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M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994); M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamo, and G. C. Valley, "Two-dimensional steady-state photorefractive screening solitons," Opt. Lett. 21, 324-326 (1996).
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Phys. Rev. Lett.
, vol.73
, pp. 3211-3214
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Segev, M.1
Valley, G.C.2
Crosignani, B.3
DiPorto, P.4
Yariv, A.5
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40
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3843098921
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Two-dimensional steady-state photorefractive screening solitons
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M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994); M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamo, and G. C. Valley, "Two-dimensional steady-state photorefractive screening solitons," Opt. Lett. 21, 324-326 (1996).
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(1996)
Opt. Lett.
, vol.21
, pp. 324-326
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Shih, M.1
Leach, P.2
Segev, M.3
Garrett, M.H.4
Salamo, G.5
Valley, G.C.6
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42
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84902420042
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Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium
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V. Tikhonenko, J. Christou, and B. Luther-Davies, "Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium," J. Opt. Soc. Am. B 12, 2046-2052 (1995).
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(1995)
J. Opt. Soc. Am. B
, vol.12
, pp. 2046-2052
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Tikhonenko, V.1
Christou, J.2
Luther-Davies, B.3
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43
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Three-dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium
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V. Tikhonenko, J. Christou, and B. Luther-Davies, "Three-dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium," Phys. Rev. Lett. 76, 2698-2701 (1996).
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Phys. Rev. Lett.
, vol.76
, pp. 2698-2701
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Tikhonenko, V.1
Christou, J.2
Luther-Davies, B.3
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45
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0001340225
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(2) nonlinearity," Opt. Lett. 19, 1615-1617 (1994).
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(1976)
Sov. Phys. JETP
, vol.41
, pp. 414-420
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46
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0028529723
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Spatial optical solitons governed by quadratic nonlinearity
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(2) nonlinearity," Opt. Lett. 19, 1615-1617 (1994).
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(1994)
Opt. Lett.
, vol.19
, pp. 1612-1614
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Buryak, A.V.1
Kivshar, Yu.S.2
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48
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0029211420
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Two-dimensional solitons with second-harmonic nonlinearity
-
L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, "Two-dimensional solitons with second-harmonic nonlinearity," Opt. Lett. 20, 13-15 (1995); A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, "Self-trapping of light beams and parametric solitons in diffractive quadratic media," Phys. Rev. A 52, 1670-1674 (1995).
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(1995)
Opt. Lett.
, vol.20
, pp. 13-15
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Torner, L.1
Menyuk, C.R.2
Torruellas, W.E.3
Stegeman, G.I.4
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49
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0000330941
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Self-trapping of light beams and parametric solitons in diffractive quadratic media
-
L. Torner, C. R. Menyuk, W. E. Torruellas, and G. I. Stegeman, "Two-dimensional solitons with second-harmonic nonlinearity," Opt. Lett. 20, 13-15 (1995); A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, "Self-trapping of light beams and parametric solitons in diffractive quadratic media," Phys. Rev. A 52, 1670-1674 (1995).
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(1995)
Phys. Rev. A
, vol.52
, pp. 1670-1674
-
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Buryak, A.V.1
Kivshar, Yu.S.2
Steblina, V.V.3
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50
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6044245908
-
Observation of two-dimensional spatial solitary waves in a quadratic medium
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W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, "Observation of two-dimensional spatial solitary waves in a quadratic medium," Phys. Rev. Lett. 74, 5036-5039 (1995).
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(1995)
Phys. Rev. Lett.
, vol.74
, pp. 5036-5039
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Torruellas, W.E.1
Wang, Z.2
Hagan, D.J.3
Van Stryland, E.W.4
Stegeman, G.I.5
Torner, L.6
Menyuk, C.R.7
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51
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84975565210
-
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