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

Volume

32

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

917

Lastpage

924

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;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.502368

Filename

502368