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Incoherent solitons were first suggested in plasma physics by A. Hasegawa [Phys. Fluids 18, 77 (1975); 20, 2155 (1977)], who employed a quasi-particle approach. By averaging over the dynamics of these quasi-particles, a Vlasov transport equation was obtained and solved. Later on, Hasegawa has suggested another technique that further approximates the quasi-particles as plane waves [Opt. Lett. 5, 416 (1980)] and predicted incoherent temporal solitons in multimode optical fibers.
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Incoherent solitons were first suggested in plasma physics by A. Hasegawa [Phys. Fluids 18, 77 (1975); 20, 2155 (1977)], who employed a quasi-particle approach. By averaging over the dynamics of these quasi-particles, a Vlasov transport equation was obtained and solved. Later on, Hasegawa has suggested another technique that further approximates the quasi-particles as plane waves [Opt. Lett. 5, 416 (1980)] and predicted incoherent temporal solitons in multimode optical fibers.
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84975595286
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Incoherent solitons were first suggested in plasma physics by A. Hasegawa [Phys. Fluids 18, 77 (1975); 20, 2155 (1977)], who employed a quasi-particle approach. By averaging over the dynamics of these quasi-particles, a Vlasov transport equation was obtained and solved. Later on, Hasegawa has suggested another technique that further approximates the quasi-particles as plane waves [Opt. Lett. 5, 416 (1980)] and predicted incoherent temporal solitons in multimode optical fibers.
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M. Mitchell, M. Segev, T. Coskun, D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997). This paper provides a modal theory of incoherent bright solitons and finds the soliton solutions, their properties (shape, coherence function), and the range in parameter space that supports them.
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D. N. Christodoulides, T. Coskun, M. Mitchell, M. Segev, Phys. Rev. Lett. 80, 2310 (1998). This paper shows that the coherent density approach and the modal theory developed in (16) are equivalent and complement each other in terms of providing direct information about both the stationary and the dynamic propagation behavior of incoherent bright solitons.
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The observation of steady-state self-focusing in biased photorefractive crystals was first reported by M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh [Appl. Phys. Lett. 64, 408 (1994)].
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Self-bending of photorefractive screening solitons was first predicted by S. Singh and D. N. Christodoulides [Opt. Comm. 118, 569 (1995)] and first observed with bright solitons in (22). Later on, it was shown [S. Singh, M. I. Carvalho, D. N. Christodoulides, ibid. 130, 288 (1996)] that at large enough applied fields, the self-bending increases with the field.
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34
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Supported by the U.S. Army Research Office, the U.S. Air Force Office of Scientific Research, and NSF
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Supported by the U.S. Army Research Office, the U.S. Air Force Office of Scientific Research, and NSF.
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