Vector rogue waves in the Manakov system: diversity and compossibility

Chen, Shihua; Mihalache, Dumitru

doi:10.1088/1751-8113/48/21/215202

Cited by 137 publications

(88 citation statements)

References 50 publications

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“…The energy-exchange effect between coupled SPWs in dark rogue wave formation in a plasmonic system is challenging and its inclusion goes beyond the scope of this work. Moreover, higher-order surface polaritonic dark rogue waves can be excited and propagate in our nonlinear waveguide; however they can be assumed as a nonlinear superposition of a fixed well-prescribed number of the fundamental dark rogue waves [78]. Our work only deals with the first-order polaritonic dark rogue waves.…”

Section: Discussionmentioning

confidence: 99%

“…The general solution of the Manakov system can be obtained using the dressed Darboux transformation [77]. We focus on generation and propagation of fundamental polaritonic dark rogue waves, but our method is powerful beyond our needs here such as yielding solutions of bright-dark and bright-bright rogue waves in a focusing Manakov system [78].…”

Section: Lax Pair and Dressed Darboux Transformationmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

Section: Lax Pair and Dressed Darboux Transformationmentioning

confidence: 99%

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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“…It is characterized by an "amplitude peak" localized in both space and time [14]. Additionally, recent hydrodynamical experiments and theoretical research confirm that the "super rogue waves" could be simulated by higher-order rational solutions [15][16][17][18][19][20][21][22][23][24][25][26][27]. More recently, with resort to the modulation instability (MI) analysis, state transition between brether/rogue wave and W-shaped soliton in high-order system, and state transition among different types of rogue-wave patterns in coupled system have been strictly demonstrated [28][29][30].…”

Section: Accepted Manuscriptmentioning

confidence: 90%

W-shaped soliton complexes and rogue-wave pattern transitions for the AB system

Wang

Liu

2017

Superlattices and Microstructures

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“…To reflect the diversity and complexity of media, it requires the study of the propagation models that go beyond the scalar nonlinear Schrödinger (NLS) equation, such as the extended scalar models [15][16][17][18] and the coupled multicomponent models [19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Optical Peregrine rogue waves of self-induced transparency in a resonant erbium-doped fiber

Chen

Baronio

et al. 2017

Opt. Express

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Abstract:The resonant interaction of an optical field with two-level doping ions in a cryogenic optical fiber is investigated within the framework of nonlinear Schrödinger and Maxwell-Bloch equations. We present explicit fundamental rational rogue wave solutions in the context of self-induced transparency for the coupled optical and matter waves. It is exhibited that the optical wave component always features a typical Peregrine-like structure, while the matter waves involve more complicated yet spatiotemporally balanced amplitude distribution. The existence and stability of these rogue waves is then confirmed by numerical simulations, and they are shown to be excited amid the onset of modulation instability. These solutions can also be extended, using the same analytical framework, to include higher-order dispersive and nonlinear effects, highlighting their universality.

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Vector rogue waves in the Manakov system: diversity and compossibility

Cited by 137 publications

References 50 publications

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

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

W-shaped soliton complexes and rogue-wave pattern transitions for the AB system

Optical Peregrine rogue waves of self-induced transparency in a resonant erbium-doped fiber

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