Gain sideband splitting in dispersion oscillating fibers

Abstract

We analyze the modulation instability spectrum in a varying dispersion optical fiber as a function of the dispersion oscillation amplitude and we predict a sideband splitting into different sub-sidebands for relatively large dispersion oscillations

Influence of the pump shape on the modulation instability process induced in a dispersion-oscillating fiber

“…In this context, new, higher-order sidebands, resulting from the splitting of the corresponding original QPM sideband, appear. This phenomenon was first theoretically predicted in [11], and it was recently experimentally confirmed in Ref. [13].…”

“…Recent experiments have confirmed the QPM-induced MI process in the normal GVD regime of microstructure DOF around 1 μm [5], as well as of nonmicrostructure highly nonlinear DOF at telecom wavelengths [9,10]. In the case of large-amplitude dispersion oscillations, a process of spectral splitting of the MI spectrum has been highlighted [11,12], and recently experimentally confirmed [13].…”

“…The previous parameters are in the same range as the parameters of the HNLF that was experimentally investigated in Refs. [10,11]. The resulting MI leads to the emergence of nonequally spaced sidebands, where the central frequency Ω p_DOF of the pth sideband is given by [6] The MI gain at the resonant frequency Ω p_DOF may be estimated in terms of a Bessel function of order p, J p [16],…”

“…Additional insight into the shape of the MI gain sideband may be obtained by taking advantage of a Floquet-based LSA, which has been shown to be a very powerful tool for the analysis of the evolution of the MI gain spectrum in DOFs [8,11,12,17]. In Fig.…”

Nonlinear parametric resonances in quasiperiodic dispersion oscillating fibers

“…We neglect here the slight variations of the effective area of the fundamental mode that may appear during the drawing process of the single mode fiber and we consider the nonlinear coefficient γ as constant. MI or parametric resonance induced by the longitudinal variations of chromatic dispersion was theoretically investigated before in a wide range of configurations, ranging from sinusoidal profiles with a spatial period of a few tens of meters [17,19], up to dispersion-managed systems with periods of several kilometers [20][21][22][23]. Let us consider a fiber dispersion profile that evolves with distance z according to the following sinusoidal rule:…”