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This work explores the interplay between dispersive parity breaking and non-linearity in two contrasting continuous dynamical systems that exhibit Modulation Instability (MI). We begin by examining deep water odd surface gravity waves and…

Fluid Dynamics · Physics 2024-06-10 Sudheesh Srivastava , Gustavo M. Monteiro , Sriram Ganeshan

A key action for enhancing the sensitivity of gravitational wave (GW) detectors based on laser interferometry is to increase the laser power. However, in such a high-power regime, a nonlinear optomechanical phenomenon called parametric…

Instrumentation and Methods for Astrophysics · Physics 2019-10-16 Margherita Turconi , Thomas Harder , Rémi Soulard , Walid Chaibi

We investigate the modulation instability of multiple four-wave mixing arising from a dual-frequency pump in a single-mode fiber or waveguide. By applying the Floquet theory on account of the periodic nature of four-wave mixing, we reveal a…

Optics · Physics 2011-05-31 Andrea Armaroli , Stefano Trillo

Stochastically driven nonlinear processes limit the number of amplified modes in a natural system due to competitive mode interaction, which is accompanied by loss of coherence when increasing the complexity of system. Specifically, we find…

Optics · Physics 2016-07-21 Lei Gao , Tao Zhu , Stefan Wabnitz , Min Liu , Wei Huang

Transverse Mode Instability (TMI) which results from dynamic nonlinear thermo-optical scattering is the primary limitation to power scaling in high-power fiber lasers and amplifiers. It has been proposed that TMI can be suppressed by…

Optics · Physics 2024-07-16 Kabish Wisal , Chun-Wei Chen , Hui Cao , A. Douglas Stone

The nonlinear interaction between electromagnetic waves and plasmas attracts significant attention in astrophysics because it can affect the propagation of Fast Radio Bursts (FRBs) -- luminous millisecond-duration pulses detected at radio…

High Energy Astrophysical Phenomena · Physics 2023-04-27 Masanori Iwamoto , Emanuele Sobacchi , Lorenzo Sironi

Instabilities are common phenomena frequently observed in nature, sometimes leading to unexpected catastrophes and disasters in seemingly normal conditions. The simplest form of instability in a distributed system is its response to a…

Pattern Formation and Solitons · Physics 2016-02-05 O. Kimmoun , H. C. Hsu , H. Branger , M. S. Li , Y. Y. Chen , C. Kharif , M. Onorato , E. J. R. Kelleher , B. Kibler , N. Akhmediev , A. Chabchoub

We report the experimental demonstration of modulation instability process assisted by a dispersion grating in an optical fiber. A simple analytical model is developed to further analyze and explain the complex dynamics of this process,…

We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary…

Optics · Physics 2021-02-03 A. Perego , M. Conforti , A. Mussot

Amplitude modulation of quantum ion-acoustic waves (QIAWs) in a quantum electron-pair-ion plasma is studied. It is shown that the quantum coupling parameter $H$ (being the ratio of the plasmonic energy density to the Fermi energy) is…

Plasma Physics · Physics 2011-02-24 A. P. Misra , N. K. Ghosh

We consider the nonlinear propagation of electrostatic wave packets in an ultra-relativistic (UR) degenerate dense electron-ion plasma, whose dynamics is governed by the nonlocal two-dimensional nonlinear Schr{\"o}dinger-like equations. The…

Plasma Physics · Physics 2015-03-17 A. P. Misra , P. K. Shukla

Various four-mirror optical resonators are studied in the perspective of realizing passive stacking cavities. A comparative study of the mechanical stability is provided. The polarization properties of the cavity eigenmodes are described…

Optics · Physics 2015-05-13 F. Zomer , Y. Fedala , N. Pavloff , V. Soskov , A. Variola

We report the generation of self-frequency-shifting Raman quasi-solitons in a pulse-pumped high-Q fiber Fabry-Perot resonator in the weak normal dispersion regime. They are induced by modulation instability mediated by fourth-order…

Optics · Physics 2025-05-06 Thomas Bunel , Matteo Conforti , Arnaud Mussot

We study, theoretically and numerically, the onset and development of modulational instability in an incoherently pumped spatially homogeneous polariton condensate. Within the framework of mean-field theory, we identify regimes of…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 T. C. H. Liew , O. A. Egorov , M. Matuszewski , O. Kyriienko , X. Ma , E. A. Ostrovskaya

We introduce the concept of spatial and spectral control of nonlinear parametric sidebands in multimode optical fibers by tailoring their linear refractive index profile. In all cases, the pump experiences Kerr self-cleaning, leading to a…

The modulational instability of two interacting waves in a nonlocal Kerr-type medium is considered analytically and numerically. For a generic choice of wave amplitudes, we give a complete description of stable/unstable regimes for zero…

Pattern Formation and Solitons · Physics 2009-11-13 Evgeny V. Doktorov , Maxim A. Molchan

Time-multiplexed networks of degenerate optical parametric oscillators have demonstrated remarkable success in simulating coupled Ising spins, thus providing a promising route to solving complex combinatorial optimization problems. In these…

It is shown that the properties of the modulational instability of partially coherent waves propagating in a nonlinear Kerr medium depend crucially on the profile of the incoherent field spectrum. Under certain conditions, the incoherence…

Optics · Physics 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

We introduce a complete analytical and numerical study of the modulational instability process in a system governed by a canonical nonlinear Schr\"odinger equation involving local, arbitrary nonlinear responses to the applied field. In…

Pattern Formation and Solitons · Physics 2015-01-08 David Novoa , Daniele Tommasini , José A. Nóvoa-López

We present an approximate analysis of a nonlinear effect of parametric oscillatory instability in FP interferometer. The basis for this effect is the excitation of the additional (Stokes) optical mode and of the mirror's elastic mode when…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. B. Braginsky , S. E. Strigin , S. P. Vyatchanin