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We present an analysis of temporal modulation instability in a ring array of coupled optical fibers. Continuous-wave signals are shown to be unstable to perturbations carrying discrete angular momenta, both for normal and anomalous group…

Pattern Formation and Solitons · Physics 2019-08-28 Calum Maitland , Daniele Faccio , Fabio Biancalana

Modulational instability in a photorefractive medium is studied in the presence of two wave mixing. We then propose and derive a model for forward four wave mixing in the photorefractive medium and investigate the modulational instability…

Pattern Formation and Solitons · Physics 2009-11-13 C. P. Jisha , V. C. Kuriakose , K. Porsezian , B. Kalithasan

Controlling complex light waves to achieve desired behaviours or characteristics on demand presents a significant challenge. This task becomes even more complicated when manipulating speckled light beams owing to their inherently fuzzy…

The parametric instability of upper hybrid wave decay into back scattered upper hybrid wave and lower hybrid wave is considered for conditions of inhomogeneous plasma of spherical tokamaks. The possibility of absolute instability is…

Plasma Physics · Physics 2007-05-23 Evgeniy Gusakov , Alexander Surkov

A central area of research in nonlinear science is the study of instabilities that drive the emergence of extreme events. Unfortunately, experimental techniques for measuring such phenomena often provide only partial characterization. For…

Computational Physics · Physics 2018-06-19 Mikko Närhi , Lauri Salmela , Juha Toivonen , Cyril Billet , John M. Dudley , Goëry Genty

There have been many studies of the instability of a flexible plate or flag to flapping motions, and of large-amplitude flapping. Here we use inviscid simulations and a linearized model to study more generally how key quantities -- mode…

Fluid Dynamics · Physics 2021-06-30 Silas Alben

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

We present a novel approach to the analysis of a full model of scalar modulation instability (MI) by means of a simple geometrical description in the power vs. frequency plane. This formulation allows to relate the shape of the MI gain to…

Optics · Physics 2017-01-20 S. M. Hernandez , P. I. Fierens , J. Bonetti , A. D. Sánchez , D. F. Grosz

Properties of weak spatio-spectral twin beams in paraxial approximation are analyzed using the decomposition into appropriate paired modes. Numbers of paired modes as well as numbers of modes in the signal (or idler) field in the transverse…

Quantum Physics · Physics 2016-01-05 Jan Perina

Cross-phase modulation instability (XPMI) is experimentally observed in a fiber ring cavity with net normal dispersion and mode-locked by long fiber taper. The taper is deposited with reduced graphene oxide, which can decrease the threshold…

Optics · Physics 2014-09-30 Lei Gaol , Tao Zhu , Min Liu , Wei Huang

We propose a nonlinear fiber system for shot-noise limited, all-optical intensity-noise reduction and signal amplification. The mechanism is based on the accumulation of different nonlinear phase shifts between orthogonal polarization modes…

Optics · Physics 2021-07-21 Marvin Edelmann , Yi Hua , Kemal Şafak , Franz X. Kärtner

We report on the experimental and numerical observation of polarization modulation instability (PMI) in a nonlinear fiber Kerr resonator. This phenomenon is phased-matched through the relative phase detuning between the intracavity fields…

A phenomenological model for spectral broadening of incoherent light in silica fibers via self-phase modulation and dispersion is presented, aiming at providing a qualitative and readily accessible description of incoherent light spectral…

Optics · Physics 2016-11-23 Qinghua Li , Haitao Zhang , Xinglai Shen , He Hao , Mali Gong

We study the higher order harmonics of scalar modulational instability in the regime where it arises spontaneously through amplification of vacuum fluctuations. We obtain detailed predictions concerning the detunings, intensities, growth…

Optics · Physics 2007-05-23 David Amans , Edouard Brainis , Serge Massar

Motivated by the study of the local extrema of sin(x)/x we define the \emph{Amplitude Modulation} transform of functions defined on (subsets of) the real line. We discuss certain properties of this transform and invert it in some easy…

Classical Analysis and ODEs · Mathematics 2007-05-23 Igor Rivin

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…

We describe the realization of multimode phononic correlations that arise from nonlinear interactions in a mechanical nondegenerate parametric amplifier. The nature of these correlations differs qualitatively depending on the strength of…

Quantum Physics · Physics 2015-07-17 S. Chakram , Y. S. Patil , M. Vengalattore

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

We identify a new four-wave mixing process in which two nearly collinear pump beams produce phase-dependent gain into a weak bisector signal beam in a self-defocusing Kerr medium. Phase matching is achieved by weak-wave advancement caused…

Pattern Formation and Solitons · Physics 2015-06-26 C. F. McCormick , R. Y. Chiao , J. M. Hickmann

Optical communication systems are always evolving to support the need for ever-increasing transmission rates. This demand is supported by the growth in complexity of communication systems which are moving towards ultra-wideband transmission…

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