Internal dynamics of a vector soliton in a nonlinear optical fiber

Internal Oscillations and Radiation Damping of Vector Solitons

“…In particular, stable solitary wave solutions called vector solitons were found in this system [9,10]. When they are perturbed, they will undergo complicated, long-lasting internal oscillations [15][16][17][18]. These oscillations are caused by the excitation of internal (shape) modes of vector solitons.…”

“…More significantly, these equations describe evolution of pulse envelopes along the two orthogonal polarizations in birefringent nonlinear optical fibers [3], which are used in fiber communication systems [4][5][6][7] and all-optical switching devices [8]. The rapid advancement of all-optical communication networks in the past 10 years has generated great interest and progress in mathematical studies of pulse dynamics in the coupled NLS equations [9][10][11][12][13][14][15][16][17][18]. In particular, stable solitary wave solutions called vector solitons were found in this system [9,10].…”

Fractal dependence of vector-soliton collisions in birefringent fibers

“…5 can be estimated the- oretically as well. For this purpose, let us first recall that when a single vector soliton is slightly perturbed, it will undergo positional and width oscillations [20][21][22][23][24]. If this vector soliton supports a discrete internal mode, the eigenvalue of this internal mode will be the frequency of positional oscillations.…”

Coherent Structures in Weakly Birefringent Nonlinear Optical Fibers

“…In the case of high birefringence, the difference in the two phase velocities has no overall effect on the average. The equations can be readily converted into two coupled nonlinear Schrodinger equations, which have been extensively studied [3][4][5][6]. It was found that for the Kerr nonlinearity, vector solitons of arbitrary polarizations that can propagate without distortion exist.…”