Abstract

We present a theoretical and experimental study of the modulation instability process in a dispersion oscillating passive fiber-ring resonator in the low dispersion region. Generally, the modulation of the dispersion along the cavity length is responsible for the emergence of a regime characterised by multiple parametric resonances (or Faraday instabilities). We show that, under weak dispersion conditions, a huge number of Faraday sidebands can grow under the influence of fourth order dispersion. We specifically designed a piecewise uniform fiber-ring cavity and report on experiments that confirm our theoretical predictions. We recorded the dynamics of this system revealing strong interactions between the different sidebands in agreement with numerical simulations.

Highlights

  • Nonlinear fiber cavities have been widely studied during the last 30 years

  • We present a theoretical and experimental study of the modulation instability process in a dispersion oscillating passive fiber-ring resonator in the low dispersion region

  • Under weak dispersion conditions, a huge number of Faraday sidebands can grow under the influence of fourth order dispersion

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Summary

Introduction

Nonlinear fiber cavities have been widely studied during the last 30 years. The inclusion of fibers’ Kerr nonlinearity in a passive system subject to optical feedback opens the way to a large variety of instabilities [1] among which modulation instability (MI) plays a significant role [2,3]. Most studies of intracavity MI have addressed the case of rather large group velocity dispersion in both the anomalous [2, 4] and normal [7] regimes In these cases, it is legitimate to take into account only the second order dispersion term β2, but when investigating MI under weak dispersion the impact of higher order dispersion (HOD) becomes significant. In previous works we found that a longitudinal step-like dispersion profile along the length of the cavity gives rise to a new regime of instability originating from parametric resonance that we refer to as Faraday regime, which coexists with the well established Turing regime [18,19,20,21] Such a Faraday mechanism is attracting a lot of attention as a general mechanism related to parametric driving in fiber cavities [22].

Theory
Experiments
Observation of complex parametric instability spectra
Competition between sidebands
Conclusion
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