Integro-differential perturbations of optical solitons

The multiple-scale perturbation method is developed to study the propagation of optical solitons in a fibre described by the perturbed nonlinear Schrodinger equation. We show that, by newly introducing a proper definition of the phase of the soliton for the first time, one can obtain the corrections to the pulse where the usual soliton perturbation approach fails. A comparison is made with results obtained by other methods in previous works as well as with numerical simulations.

[1]  Anjan Biswas.  Optical Soliton Perturbation with Bandwidth Limited Amplification and Saturable Amplifiers , 1999 .

[2]  A. Hasegawa,et al.  Generation of asymptotically stable optical solitons and suppression of the Gordon-Haus effect. , 1992, Optics letters.

[3]  N. Doran,et al.  Suppression of the soliton self-frequency shift by bandwidth-limited amplification , 1988 .

[4]  Gagnon,et al.  Adiabatic amplification of optical solitons. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[5]  Kaup Dj,et al.  Perturbation theory for solitons in optical fibers. , 1990 .

[6]  H. Haus,et al.  Soliton transmission control. , 1991, Optics letters.

[7]  M. Potasek.  Novel femtosecond solitons in optical fibers, photonic switching, and computing , 1989 .

[8]  A. Hasegawa.  Role of optical solitons in high speed communication systems , 1995 .

[9]  Yuri S. Kivshar,et al.  Dynamics of Solitons in Nearly Integrable Systems , 1989 .

[10]  H. H. Kuehl,et al.  Effects of higher‐order dispersion on envelope solitons , 1990 .

[11]  A. Hasegawa,et al.  IV Theoretical Foundation of Optical-Soliton Concept in Fibers , 1992 .

[12]  Yuji Kodama,et al.  Perturbations of solitons and solitary waves , 1981 .

[13]  Yuji Kodama,et al.  Control of Optical Soliton Interactions , 1995 .

[14]  W. S. Wong,et al.  Stability and timing maintenance in soliton transmission and storage rings , 1994 .

[15]  M. Midrio,et al.  Role of third-order dispersion on soliton instabilities and interactions in optical fibers. , 1994, Optics letters.

[16]  Autosoliton in a fiber with distributed saturable amplifiers. , 1996, Optics letters.