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Related papers: Bragg grating rogue wave

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We find exact solutions describing bidirectional pulses propagating in fiber Bragg gratings. They are derived by solving the coupled-mode theory equations and are expressed in terms of products of modified Bessel functions with algebraic…

In optics, a reflective grating is a conducting surface with a ripple. The typical use of such a grating involves an incident electromagnetic wave with wave vector k in the x-z plane, and interference effects lead to a discrete set of…

Accelerator Physics · Physics 2007-05-23 Kirk T. McDonald

A rogue wave formation mechanism is proposed within the framework of a coupled nonlinear Schrodinger (CNLS) system corresponding to the interaction of two waves propagating in oblique directions in deep water. A rogue condition is…

Pattern Formation and Solitons · Physics 2015-06-22 Mark J. Ablowitz , Theodoros P. Horikis

We study Bragg scattering at 1D atomic lattices. Cold atoms are confined by optical dipole forces at the antinodes of a standing wave generated inside a laser-driven cavity. The atoms arrange themselves into an array of lens-shaped layers…

Quantum Physics · Physics 2009-11-11 S. Slama , C. von Cube , M. Kohler , C. Zimmermann , Ph. W. Courteille

The phase, amplitude, speed, and polarization, in addition to many other properties of light, can be modulated by photonic Bragg structures. In conjunction with nonlinearity and quantum effects, a variety of ensuing micro- or nano-photonic…

Optics · Physics 2017-05-18 Yikun Liu , Shenhe Fu , Boris A. Malomed , Iam Choon Khoo , Jianying Zhou

In this essay we give an overview on the problem of rogue or freak wave formation in the ocean. The matter of the phenomenon is a sporadic occurrence of unexpectedly high waves on the sea surface. These waves cause serious danger for…

Atmospheric and Oceanic Physics · Physics 2017-03-30 Alexey Slunyaev , Ira Didenkulova , Efim Pelinovsky

A highly unusual pattern of strong multiple resonances for bulk electromagnetic waves is predicted and analysed numerically in thick periodic holographic gratings in a slab with the mean permittivity that is larger than that of the…

Optics · Physics 2007-05-23 D. K. Gramotnev , S. J. Goodman , T. A. Nieminen

We present an optical study of various device designs for electrically contactable circular Bragg grating cavities in labyrinth geometries. To create an electrical connection between the central disk and the surrounding membrane, which are…

We have explored through numerical simulations the amplification of laser pulses in nonlinear fiber Bragg gratings with gain and normal dispersion. The distortion of the temporal intensity profile caused by the higher-order dispersion…

Optics · Physics 2012-05-08 Martin Laprise , Michel Pichee , Real Vallee

We present exact solutions for rogue waves arising on the background of periodic waves in the focusing nonlinear Schrodinger equation. The exact solutions are obtained by characterizing the Lax spectrum related to the periodic waves and by…

Exactly Solvable and Integrable Systems · Physics 2020-01-06 Jinbing Chen , Dmitry E. Pelinovsky , Robert E. White

Ocean rogue waves (RW) -huge solitary waves- have for long triggered the interest of scientists. RWs emerge in a complex environment and it is still dubious the importance of linear versus nonlinear processes. Recent works have demonstrated…

Optics · Physics 2016-02-05 M. Mattheakis , I. J. Pitsios , G. P. Tsironis , S. Tzortzakis

We explore the form of rogue wave solutions in a select set of case examples of nonlinear Schr\"odinger equations with variable coefficients. We focus on systems with constant dispersion, and present three different models that describe…

Pattern Formation and Solitons · Physics 2014-10-23 J. S. He , E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis

In this work, we investigate the properties of four-wave mixing Bragg scattering in a configuration that employs orthogonally polarized pumps in a birefringent waveguide. This configuration enables a large signal conversion bandwidth, and…

Diffraction gratings synthetically moving at trans-luminal velocities contain points where wave and grating velocities are equal. We show these points can be understood as a series of optical event horizons where wave energy can be trapped…

Quantum Physics · Physics 2023-02-17 Simon A. R. Horsley , John B. Pendry

We report on the experimental realization of a Bragg reflector for guided matter waves. A Bose-Einstein condensate with controlled velocity distribution impinges onto an attractive optical lattice of finite length and directly probes its…

We present a brief discussion on the nonlinear Schr{\"o}dinger equation for modeling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather solutions that can be connected to the sudden formation of…

Exactly Solvable and Integrable Systems · Physics 2013-01-08 Nikolay K. Vitanov , Amin Chabchoub , Norbert Hoffmann

We introduce a new and simple approach to acquire wide-band/angle blazing operation in one-dimensional metallic gratings supported by equivalent circuit analysis. The gratings that are investigated here are single-groove gratings that…

Classical Physics · Physics 2019-10-09 Omid Hemmatyar , Mohammad Ali Abbassi , Babak Rahmani , Mohammad Memarian , Khashayar Mehrany

In addition to deep-water rogue waves which develop from the modulation instability of an optical CW, wave propagation in optical fibers may also produce shallow water rogue waves. These extreme wave events are generated in the…

Pattern Formation and Solitons · Physics 2015-06-12 Stefan Wabnitz , Christophe Finot , Julien Fatome , Guy Millot

When a monochromatic beam of light propagates through a periodic structure with the incident angle satisfying the Bragg condition, its Fourier spatial spectra oscillates between the resonant modes situated on the edges of the Brillouin…

Optics · Physics 2018-02-09 Paulo A. Brandão , Solange B. Cavalcanti

Rogue waves (RWs) are unexpectedly strong excitations emerging from an otherwise tranquil background. The nonlinear Schr\"odinger equation (NLSE), a ubiquitous model with wide applications to fluid mechanics, optics and plasmas, exhibits…

Pattern Formation and Solitons · Physics 2016-01-07 H. N. Chan , B. A. Malomed , K. W. Chow , E. Ding