Experimental Demonstration of the Fermi-Pasta-Ulam Recurrence in a Modulationally Unstable Optical Wave

作者: G. Van Simaeys , Ph. Emplit , M. Haelterman

DOI: 10.1103/PHYSREVLETT.87.033902

关键词: Fermi Gamma-ray Space TelescopeOptical fiberSpectral analysisNonlinear Schrödinger equationPhysicsLaserQuantum mechanicsSchrödinger equation

摘要: Through a detailed spectral analysis of the propagation square-shaped laser pulses in optical fibers, we provide experimental demonstration Fermi-Pasta-Ulam recurrence phenomenon modulationally unstable waves ruled by nonlinear Schroedinger equation.

参考文章(11)
N. J. Zabusky, M. D. Kruskal, Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States Physical Review Letters. ,vol. 15, pp. 240- 243 ,(1965) , 10.1103/PHYSREVLETT.15.240
T. Brooke Benjamin, J. E. Feir, The disintegration of wave trains on deep water Part 1. Theory Journal of Fluid Mechanics. ,vol. 27, pp. 417- 430 ,(1967) , 10.1017/S002211206700045X
G. Cappellini, S. Trillo, Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects Journal of The Optical Society of America B-optical Physics. ,vol. 8, pp. 824- 838 ,(1991) , 10.1364/JOSAB.8.000824
N. N. Akhmediev, V. I. Korneev, Modulation instability and periodic solutions of the nonlinear Schrödinger equation Theoretical and Mathematical Physics. ,vol. 69, pp. 1089- 1093 ,(1986) , 10.1007/BF01037866
Michel Remoissenet, Waves Called Solitons Springer Berlin Heidelberg. ,(1994) , 10.1007/978-3-662-03057-8
Bruce M. Lake, Henry C. Yuen, Harald Rungaldier, Warren E. Ferguson, Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train Journal of Fluid Mechanics. ,vol. 83, pp. 49- 74 ,(1977) , 10.1017/S0022112077001037
K. Tai, A. Hasegawa, A. Tomita, Observation of modulational instability in optical fibers. Physical Review Letters. ,vol. 56, pp. 135- 138 ,(1986) , 10.1103/PHYSREVLETT.56.135
N. J. Doran, David Wood, Nonlinear-optical loop mirror Optics Letters. ,vol. 13, pp. 56- 58 ,(1988) , 10.1364/OL.13.000056
K. J. Blow, N. J. Doran, B. K. Nayar, B. P. Nelson, Two-wavelength operation of the nonlinear fiber loop mirror. Optics Letters. ,vol. 15, pp. 248- 250 ,(1990) , 10.1364/OL.15.000248