Title :
Interaction of soliton with sinusoidal wave packet
Author :
Haus, Hermann A. ; Khatri, Farzana I. ; Wong, William S. ; Ippen, Erich P. ; Tamura, Kohichi R.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
fDate :
6/1/1996 12:00:00 AM
Abstract :
The interaction of a soliton of the Nonlinear Schrodinger Equation (NSE) with a weak sinusoidal wave packet is treated analytically. The second-order soliton solution containing the original soliton and a perturbing soliton is expanded to first order in the amplitude of the perturbating soliton. From this expansion, one obtains the associate function of Gordon (1992) and a continuous change of position and phase of the perturbed soliton. One finds that the soliton experiences a second-order change of velocity under the influence of the perturbation. This result is then used to derive the displacement due to a wave packet of general shape, which is also confirmed by computer simulation
Keywords :
Schrodinger equation; optical fibre theory; optical solitons; computer simulation; nonlinear Schrodinger equation; perturbating soliton; perturbing soliton; second-order soliton solution; second-order velocity change; sinusoidal wave packet; soliton; wave packet; Acoustic pulses; Computational modeling; Computer simulation; Frequency; Laboratories; Neutron spin echo; Optical fiber cables; Schrodinger equation; Shape; Solitons;
Journal_Title :
Quantum Electronics, IEEE Journal of
