Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Interaction of initially overlapping solitons with different frequencies

Not Accessible

Your library or personal account may give you access

Abstract

We consider the problem of the interaction of initially overlapping solitons with different frequencies in the frame of scalar as well as vector nonlinear Schrödinger equations. By applying the inverse scattering transform technique, we find the amplitude and the velocity of the formed solitons as a function of the initial conditions. In particular, for the scalar case we calculate the threshold values of the frequency separation Ω, when the solution transits from a two-soliton bound state to a one-soliton state (Ω = Ω1) and then back to a bound state (Ω = Ω2) and from a two-soliton bound state to a pair of escaping solitons (Ω = Ω3). If the initial frequency separation is less than the soliton spectral width, then perturbation theory may be applied. For other values of the frequency separation we calculate the soliton parameters numerically. We show that the bifurcation point at Ω3 disappears if the amplitudes of the initial pulses are not equal. For the vector case we obtain similar results.

© 1994 Optical Society of America

Full Article  |  PDF Article
More Like This
Modulation, filtering, and initial phase control of interacting solitons

T. Georges and F. Favre
J. Opt. Soc. Am. B 10(10) 1880-1889 (1993)

Propagation and interaction of optical solitons in random media

F. Kh. Abdullaev, J. H. Hensen, S. Bischoff, M. P. Sørensen, and J. W. Smeltink
J. Opt. Soc. Am. B 15(9) 2424-2432 (1998)

Nonlinear copropagation of two optical pulses of different frequencies in birefringent fibers

Shiva Kumar, A. Selvarajan, and G. V. Anand
J. Opt. Soc. Am. B 11(5) 810-817 (1994)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (32)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved