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Related papers: Modulational instability in $\mathcal{PT}$-symmetr…

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This work introduces a new class of PT-symmetry grating assisted devices for switching or modulation applications. Their operation is based on a four-wave interaction, thus marking a step in the further development of PT-symmetry devices…

Optics · Physics 2015-06-18 Anatole Lupu , Henri Benisty , Aloyse Degiron

This work presents a theoretical investigation of an active photonic grating of the parity-time (PT) symmetric architecture. The analytical study of the free-space mode propagation from the grating structure indicates the unique bifurcation…

Optics · Physics 2021-12-21 Tahere Hemati , Yi Zou , Binbin Weng

We investigate the phenomenon of parametric instability in discrete models of spatiotemporally modulated materials. These materials are celebrated in part because they exhibit nonreciprocal transmission characteristics. However, parametric…

Materials Science · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical…

Pattern Formation and Solitons · Physics 2009-11-11 K. Yagasaki , I. M. Merhasin , B. A. Malomed , T. Wagenknecht , A. R. Champneys

The dynamics of the modulation instability induced by cross phase modulation is studied by considering the influence of the walk-off and noninstantaneous response effects for two copropagating optical fields travelling in the anomalous…

Optics · Physics 2017-11-08 Askery Canabarro , B. Santos , B. de Lima Bernardo

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

To explore resonance phenomena in the nonlinear region, we show by experimental measurements and theoretical analyses that resonance happens in modulation instability (MI) from non-instantaneous nonlinearities in photorefractive crystals.…

Pattern Formation and Solitons · Physics 2018-08-01 Ray-Ching Hong , Chun-Yan Lin , You-Lin Chuang , Chien-Ming Wu , Yonan Su , Jeng Yi Lee , Chien-Chung Jeng , Ming-Feng Shih , Ray-Kuang Lee

The supersymmetric (SUSY) structure of coupled-mode equations that describe scattering of optical waves in one-dimensional Bragg gratings is highlighted. This property can find applications to the synthesis of special Bragg filters and…

Optics · Physics 2016-03-07 Stefano Longhi

We analyse linear stability of interfacial waves in an idealised model of an aluminium reduction cell consisting of two stably stratified liquid layers which carry a vertical electric current in a collinear external magnetic field. If the…

Fluid Dynamics · Physics 2021-07-01 Gerasimos Politis , Jānis Priede

The generalized nonlinear Schr\"odinger equation with full dispersion (FDNLS) is considered in the semiclassical regime. The Whitham modulation equations are obtained for the FDNLS equation with general linear dispersion and a generalized,…

Pattern Formation and Solitons · Physics 2023-09-26 Patrick Sprenger , Mark A. Hoefer , Boaz Ilan

In this work, we have studied the traveling wave solution in a nonlinear Bragg grating structure in which the core of the optical fiber is having Parity-time (PT) symmetric refractive index distribution. We have found bright solitary wave…

Optics · Physics 2017-10-25 Samit Kumar Gupta , Amarendra K. Sarma

The propagation of a continuous wave in the average anomalous dispersion region of a dispersion oscillating fiber is investigated numerically and experimentally. We demonstrate that the train of solitons arising from modulation instability…

Since the forward and backward waves are coupled with each other and a standing wave with no net propagation of energy is formed in the photonic bandgap, it is a commonsense of basic physics that, any kinds of effects associated with wave…

Optics · Physics 2016-04-13 Cheng Feng , Hao Luo , Liang Zhang , Jinmei Liu , Li Zhan

The evolution of a pair of resonant Bragg modes through a medium characterized by a complex one-dimensional $\mathcal{PT}$-symmetric periodic permittivity is thoroughly investigated. Analytic solutions of Maxwell's equations are derived…

Optics · Physics 2020-01-08 P. A. Brandão , J. H. Nascimento. S. B. Cavalcanti

A simple analytical model is developed to analyze and explain the complex dynamics of the multi-peak modulation instability spectrum observed in dispersion oscillating optical fibers [M. Droques et al., 37, 4832-4834 Opt. Lett., (2012)]. We…

Optics · Physics 2015-06-12 M. Droques , A. Kudlinski , G. Bouwmans , G. Martinelli , A. Mussot

We revisit the problem of modulation instability (MI) in optical fibers, including higher-order dispersion terms, self-steepening, and Raman response. We derive expressions for the MI gain and use them to explore the role of self-steepening…

We describe a surface structure consisting of a metal-air interface where the metallic part consists of two metallic segments with a periodic modulation of the interface between them. Such a structure possesses a different transmissivity…

Optics · Physics 2016-09-02 Vladimir Kuzmiak , Alexei A. Maradudin

We analyse the nonlinear dynamics of Fabry-Perot cavities of arbitrary finesse filled by a dispersive Kerr medium, pumped by a continuous wave laser or a synchronous train of flat-top pulses. The combined action of feedback, group velocity…

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…

We investigated experimentally and numerically the spectral control of modulation instability (MI) dynamics via the initial phase relation of two weak seed fields. Specifically, we show how second-order modulation instability dynamics…

Optics · Physics 2015-06-17 Maximilian Brinkmann , Michael Kues , Carsten Fallnich
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