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We study modulational instability (MI) of plane waves in nonlocal nonlinear Kerr media. For a focusing nonlinearity we show that, although the nonlocality tends to suppress MI, it can never remove it completely, irrespectively of the…

Pattern Formation and Solitons · Physics 2009-11-07 Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmuss , John Wyller

A numerical study of the properties of Gaussian pulses propagating in planar waveguide under the combined effect of positive Kerr-type nonlinearity, diffraction in planar waveguides and anomalous or normal dispersion, is presented. It is…

Optics · Physics 2008-02-03 M. E. Pietrzyk

We discover three novel classes of pulse-train waveforms in an optical Kerr nonlinear medium possessing all orders of dispersion up to the fourth order. We show that both single- and double humped pulse-trains can be formed in the nonlinear…

Pattern Formation and Solitons · Physics 2026-01-28 Houria Triki , Vladimir I. Kruglov

This paper presents theoretical results indicating that newly discovered nondiffracting beams we call X waves, can propagate in a confined space (wave guide) with specific quantized temporal frequencies. These results could have…

General Physics · Physics 2007-05-23 Jian-yu Lu

We study the nonlinear propagation of diffraction-free, space-time wave packets, also called time-diffracting beams because their spatiotemporal structure reproduces diffraction in time. We report on the spontaneous formation of…

Optics · Physics 2018-11-06 Miguel A. Porras

We identify and discuss nonlinear phase noise arising in Kerr self-phase modulation of a coherent light pulse propagating through an attenuating medium with third-order nonlinearity in a dispersion-free setting. This phenomenon,…

Quantum Physics · Physics 2018-01-29 Ludwig Kunz , Matteo G. A. Paris , Konrad Banaszek

Paraxial propagation of a quasi-monochromatic light wave with two circular polarizations in a defocusing Kerr medium with anomalous dispersion inside a waveguide of annular cross-section was considered. In the phase-separated mode, the…

Optics · Physics 2024-11-18 Victor P. Ruban

Modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is studied both analytically and numerically. It is shown that…

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

Multimode optical fibers has emerged as the platform that will bridge the gap between nonlinear optics in bulk media and in single-mode fibers. However, the understanding of the transition between these two research fields still remains…

Optics · Physics 2021-01-20 Bertrand Kibler , Pierre Béjot

The modulational instability (MI) of plane waves in nonlocal Kerr media is studied for a general, localized, response function. It is shown that there always exists a finite number of well-separated MI gain bands, with each of them…

Pattern Formation and Solitons · Physics 2009-11-07 John Wyller , Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmussen

It is shown that pulsar radio emission can be generated effectively through a streaming motion in the polar-cap regions of a pulsar magnetosphere causing nonresonant growth of waves that can escape directly. As in other beam models, a…

Astrophysics · Physics 2009-11-07 M. Gedalin , E. Gruman , D. B. Melrose

Linear stability analysis of speckle pattern resulting from multiple, diffuse scattering of coherent light waves in random media with intensity-dependent refractive index (noninstantaneous Kerr nonlinearity) is performed. The speckle…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov

We investigate beam diffraction and spatial modulation instability of coherent light beams propagating in the non-paraxial regime in a nonlinear Kerr medium. We study the instability of plane wave solutions in terms of the degree of…

Optics · Physics 2014-02-07 Nicola Bulso , Claudio Conti

In this Letter, we employ the complex screen method to investigate the dynamic evolution of partially coherent pulses with specified properties as they propagate through a nonlinear Kerr medium. Our results reveal that partially coherent…

We predict that the combination of space and time modulational instabilities occuring via parametric wave-mixing in quadratic media leads to coloured conical emission. This phenomenon should be observed under conditions usually employed in…

The propagation of polarized emission in pulsar magnetosphere is investigated in this paper. The polarized waves are generated through curvature radiation from the relativistic particles streaming along curved magnetic field lines and…

High Energy Astrophysical Phenomena · Physics 2015-06-19 P. F. Wang , C. Wang , J. L. Han

Magnetic fields of strongly magnetized stars can trap conducting matter due to frozen-in condition. In the force-free regime, the motion of the matter along the field lines may be considered in the "bead on a wire" approximation. Such a…

High Energy Astrophysical Phenomena · Physics 2020-06-10 Pavel Abolmasov , Anton Biryukov

Properties of two pulses propagating simultaneously in different dispersion regimes, anomalous and normal, in a Kerr-type planar waveguide are studied in the framework of the nonlinear Schroedinger equation. Catastrophic self-focusing and…

patt-sol · Physics 2009-10-31 Monika E. Pietrzyk

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly…

Nonlinear radio waves modulate the plasma, scatter on the modulations, and develop an intermittent power spectrum -- perhaps. Rudiments of theory, numerical simulations, and qualitative modeling of nonlinear scattering are presented.…

High Energy Astrophysical Phenomena · Physics 2020-02-10 Andrei Gruzinov