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Related papers: Polarization modulation instability in a nonlinear…

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We show how the analytical approach of Zakharov and Rubenchik [Sov. Phys. JETP {\bf 38}, 494 (1974)] to modulational instability (MI) of solitary waves in the nonlinear Schr\"oedinger equation (NLS) can be generalised for models with two…

patt-sol · Physics 2009-10-31 Dmitry V. Skryabin , William J. Firth

Diffraction-free Bessel beams have attracted major interest because of their stability even in regimes of nonlinear propagation and filamentation. However, Kerr nonlinear couplings are known to induce significant longitudinal intensity…

This study presents a detailed investigation of the modulational stability of interfacial wave packets in a two-layer inviscid incompressible fluid with finite layer thicknesses and interfacial surface tension. The stability analysis is…

Fluid Dynamics · Physics 2025-11-20 Olga Avramenko , Volodymyr Naradovyi

The periodic modulation of an oscillator's frequency can lead to so-called parametric oscillations at half the driving frequency, which display bistability between two states whose phases differ by \pi. Such phase-locking bistability is at…

Pattern Formation and Solitons · Physics 2018-04-25 Rubén Martínez-Lorente , Fernando Silva , Germán J. de Valcárcel

We theoretically and numerically investigate intermodal four-wave-mixing in km-long fibers, where random birefringence fluctuations are present along the fiber length. We identify several distinct regimes that depend on the relative…

Optical solitons in multimode nonlinear optical systems offer a unique platform for exploring the interplay of nonlinearity, dispersion, and spatial mode coupling, offering insights into complex nonlinear wave phenomena. Multi-pass cavities…

Optics · Physics 2025-09-01 Junhan Huang , Bingbing Zhu , Shanyue Li , Kun Ding , Zhensheng Tao

We study continuous-wave light propagation through a twisted birefringent single-mode fiber amplifier with saturable nonlinearity. The corresponding coupled-mode system is isomorphic to a non-Hermitian nonlinear dimer, and gives rise to…

Optics · Physics 2017-10-26 J. D. Huerta Morales , B. M. Rodríguez-Lara , B. A. Malomed

Nonlinear wave focusing originating from the universal modulation instability (MI) is responsible for the formation of strong wave localizations on the water surface and in nonlinear wave guides, such as optical Kerr media and plasma. Such…

Fluid Dynamics · Physics 2022-10-12 Yuchen He , Alexey Slunyaev , Nobuhito Mori , Amin Chabchoub

We experimentally demonstrate the realization of a half-polarization-maintaining (half-PM) fiber laser, in which mode-locking is provided by a reflective multimode-interference saturable absorber (SA). In the specially designed SA, linearly…

Optics · Physics 2022-12-28 Xuanyi Liu , Maolin Dai , Denghui Pan , Kaibin Lin , Boris A. Malomed , Qian Li , H. Y. Fu

We measure the motional fluctuations of a micromechanical mirror using a Michelson interferometer, and demonstrate its interferometric stability. The position stability of the micromirror is dominated by the thermal mechanical noise of the…

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at…

patt-sol · Physics 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

The influence of a saturable nonlinearity on the modulation instability in oppositely directed coupler in the presence of high-order effects is investigated. By using the standard linear stability analysis, we obtain the instability gain…

Pattern Formation and Solitons · Physics 2017-05-26 Erivelton O. Alves , Wesley B. Cardoso , Ardiley T. Avelar

It is shown that small distortions on the boundaries are amplified in the core of a magnetized plasma if the system is close to marginal stability for the ideal magnetohydrodynamic interchange mode. It is also shown that such marginal…

Plasma Physics · Physics 2013-02-26 Jupiter Bagaipo , A. B. Hassam

Merging binary black holes exhibit a ringdown phase in which they primarily emit gravitational waves in the shape of damped sinusoids corresponding to quasi-normal modes of the Kerr remnant. In general, each mode carries four degrees of…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Nicole Khusid , Will Farr , Max Isi

Nonlinear relations among frequencies and phases in modulational instability of circularly polarized Alfven waves are discussed, within the context of one dimensional, dissipation-less, unforced fluid system. We show that generation of…

Plasma Physics · Physics 2020-01-29 Yasuhiro Nariyuki , Tohru Hada

Bistable mechanical vibration is observed in a cavity magnomechanical system, which consists of a microwave cavity mode, a magnon mode, and a mechanical vibration mode of a ferrimagnetic yttrium-iron-garnet (YIG) sphere. The bistability…

Quantum Physics · Physics 2022-09-14 Rui-Chang Shen , Jie Li , Zhi-Yuan Fan , Yi-Pu Wang , J. Q. You

The polarization analysis of the light is typically carried out using modulation schemes. The light of unknown polarization state is passed through a set of known modulation optics and a detector is used to measure the total intensity…

Astrophysics · Physics 2008-05-01 A. Asensio Ramos , M. Collados

The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schr\"odinger equation, a wave-kinetic equation is derived. A…

Pattern Formation and Solitons · Physics 2007-05-23 M. Marklund , P. K. Shukla , R. Bingham , J. T. Mendonca

Controlling nonequilibrium responses in optically driven quantum materials is essential for advancing applications in energy conversion, ultrafast electronics, and quantum computation. Nonlinear optical spectroscopy serves as a powerful…

Modulation instability (MI) in continuous media described by a system of two cubic-quintic nonlinear Schr\"odinger equations (NLSE) has been investigated with a focus on revealing the contribution of the quintic nonlinearity to the…

Pattern Formation and Solitons · Physics 2018-12-26 B. B. Baizakov , A. Bouketir , S. M. Al-Marzoug , H. Bahlouli