Abstract
Modulation instability (MI) is an ubiquitous nonlinear process that has been widely investigated in various fields of physics and applications including plasmas, hydrodynamics and optics, to cite a few. In nonlinear fiber optics, recent experiments [1] have confirmed that fibers with a longitudinal and periodic modulation of their properties, such as a dispersion oscillating fiber (DOF), can experience MI thanks to a quasi-phase-matching (QPM)-induced MI process. Whenever the dispersion fluctuations can be considered as a perturbation to nonlinear wave propagation, that is when their amplitude is smaller or comparable with the value of the average dispersion, QPM-induced MI leads to the emergence of well-separated, and unequally spaced gain sidebands, symmetrically placed around the pump. On the other hand, when the amplitude of dispersion fluctuations grows much larger than the average GVD (strong dispersion management regime), a spectral splitting process may occur [2]. By using the Floquet linear stability analysis (LSA) of the nonlinear Schrödinger equation (NLSE), we may theoretically show that the first QPM sidebands splits into several sub-branches (Fig. (a1)).
© 2015 IEEE
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