Slow oscillations of dispersion-managed solitons

Abstract

In dispersion-managed fibers, soliton-like solutions with periodically recurring shapes exist. These so called dispersion-managed solitons are relevant for fiber-optic telecommunication. In this article we address their behavior when there is deviation from the stationary solution, which is accompanied by the excitation of a long-lived periodic oscillation. We give a possible interpretation by applying soliton radiation beat analysis, a method capable of analyzing the soliton content.

Self-similar interaction of slowly oscillating dispersion-managed solitons

“…Of course, such a nonideal launch pulse shape will render the stroboscopic stability approximative, and slow shape oscillations will arise as reported in Ref. [17].…”

“…This is a situation of relevance to any application. We have shown recently that such nonideal launch pulses give rise to solitonlike pulses, which, however, have slowly oscillating pulse parameters [17]. These slow oscillations must not be confused with the periodic change in pulse shape in the dispersion map.…”

“…While the periodicity of the dispersion imposes an oscillation with the same spatial period as the fiber dispersion, here we discuss a spatial period which may be substantially longer. They can be interpreted either as a result of the excitation of internal modes of the solitons [18][19][20], or equivalently, to result from a beating of inherent solitonic constituents [17].…”

Soliton Content of Fiber-Optic Light Pulses

“…In a generalization of the technique, the consideration is extended to the full spectrum, A 2 (Ω, z) [93]. In this variant, the technique also yields information about soliton velocities.…”

“…Grey scale corresponds to the log of the Fourier transform of the spatial evolution of the spectral power density. Arrows labeled S 1 and S 2 mark traces pertaining to the first and second soliton; their beat note is also highlighted (from [93]). A comparison of DST and SRBA reveals the advantages and weaknesses of both.…”