Polarization modulation instability in a Manakov fiber system

Frisquet, Benoit; Kibler, Bertrand; Fatome, Julien; Morin, Pascal; Baronio, Fabio; Conforti, Matteo; Millot, Guy; Wabnitz, Stefan

doi:10.1103/physreva.92.053854

Cited by 68 publications

(49 citation statements)

References 47 publications

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“…Therefore, eye-shaped RW or breathers have been observed from many different initial conditions. Recently, dark RW (anti-eye-shaped RW) was observed in a real experiment and MI in vector system was demonstrated in a Manakov fiber system [5]. The results here have great possibilities to be checked in nonlinear fibers with two or more modes.…”

Section: Conclusion and Discussionsupporting

confidence: 53%

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Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation

Ling

Zhao

2019

Communications in Nonlinear Science and Numerical Simulation

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Modulational instability has been used to explain the formation of breather and rogue waves qualitatively. In this paper, we show modulational instability can be used to explain the structure of them in a quantitative way. We develop a method to derive general forms for Akhmediev breather and rogue wave solutions in a N -component nonlinear Schrödinger equations. The existence condition for each pattern is clarified clearly. Moreover, the general multi-high-order rogue wave solutions and multi-Akhmediev breather solutions for N -component nonlinear Schrödinger equations are constructed. The results further deepen our understanding on the quantitative relations between modulational instability and homoclinic orbits solutions.

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Section: Conclusion and Discussionsupporting

confidence: 53%

“…Akhmediev breathers (ABs) and Rogue waves (RWs) including scalar ones and vector ones, have been observed in many different physical systems [1,2,3,4,5]. RWs are found to have many different fundamental patterns, such as eye-shaped one, anti-eye-shaped one, and four-petaled one, etc.…”

Section: Introductionmentioning

confidence: 99%

Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation

Ling

Zhao

2019

Communications in Nonlinear Science and Numerical Simulation

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“…For two polarization components, the corresponding set of two coupled NLSEs is completely integrable. In this framework [55], polarizationmodulation instability was found to be the origin of coupled bright or dark rogue waves [40,56].…”

Section: Modulation Instability and Dark Rogue Wavesmentioning

confidence: 97%

Surface-polaritonic phase singularities and multimode polaritonic frequency combs via dark rogue-wave excitation in hybrid plasmonic waveguide

et al. 2020

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Material characteristics and input-field specifics limit controllability of nonlinear electromagneticfield interactions. As these nonlinear interactions could be exploited to create strongly localized bright and dark waves, such as nonlinear surface polaritons, ameliorating this limitation is important. We present our approach to amelioration, which is based on a surface-polaritonic waveguide reconfiguration that enables excitation, propagation and coherent control of coupled dark rogue waves having orthogonal polarizations. Our control mechanism is achieved by finely tuning laser-field intensities and their respective detuning at the interface between the atomic medium and the metamaterial layer. In particular, we utilize controllable electromagnetically induced transparency windows commensurate with surface-polaritonic polarization-modulation instability to create symmetric and asymmetric polaritonic frequency combs associated with dark localized waves. Our method takes advantage of an atomic self-defocusing nonlinearity and dark rogue-wave propagation to obtain a sufficient condition for generating phase singularities. Underpinning this method is our theory which incorporates dissipation and dispersion due to the atomic medium being coupled to nonlinear surface-polaritonic waves. Consequently, our waveguide configuration acts as a bimodal polaritonic frequency-comb generator and high-speed phase rotator, thereby opening prospects for phase singularities in nanophotonic and quantum communication devices.field [18]. In the past few decades, experimental and theoretical investigations(for an intuitive explanation of dealing with plasmonic loss for waveguide application, see [19]) report stable propagation of linear and nonlinear SPWs employing ultra-low loss metallic-type layers such as single-crystal [20] and mono-crystal [21] metallic film, structured Fano metamaterials [22], semiconductor metamaterials [23] and superconducting metamaterials [24]. These investigations reveal that plasmonic excitation and stable propagation need minimal metallic nanostructure roughness [25]. Therefore, polaritonic frequency combs, and generally space-time control of nonlinear SPWs, are unfortunately challenging due to material limitations and driving field characteristics [26-28].Propagation of an optical pulse in nonlinear media leads to the appearance of strongly localized bright and dark waves such as soliton [29], rogue waves and breathers in nearly conservative systems [30]. Bright rogue waves and breathers are highly localized nonlinear solitary waves with oscillatory amplitudes [31,32]. These waves are valuable for their applications to phase and intensity modulation schemes [33,34], as well as the formation of bound states and molecule-like behavior [35]. More generally, dissipative rogue waves and breathers [36] have potential applications to nonlinear systems such as mode-locked lasers [37] and frequencycomb generators [38]. By contrast, dark rogue waves were only observed during multimode polarized light propagation ...

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“…Because of its mathematical relevance and its importance for applications, Manakov systems have been the subject of both theoretical (see references above and also [34,39,50,55]) and numerical investigation [35,37]. Also the development of novel numerical methods for their solution has been considered by some authors.…”

Section: Introductionmentioning

confidence: 99%