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Pulse doubling and wavelength conversion through triangular nonlinear pulse reshaping
2011
International audience; We present a proof of principle experiment demonstrating the benefits of using a triangular temporal profile in the context of copying and wavelength conversion of telecommunication signals. Generated by passive nonlinear reshaping in a set of two carefully chosen fibres, the triangular shape enables efficient temporal and spectral doubling of the signals through self-phase modulation.
Spatiotemporal beam shaping in nonlinear multimode fibers
2018
Kerr beam self-cleaning in graded-index multimode fibers is accompanied by power-dependent temporal pulse reshaping. We explore the complex nonlinear dynamics with a single long pulse, where the optical power is continuously varied across its profile.
Universal soliton pattern formations in passively mode-locked fiber lasers
2011
International audience; We investigate multiple-soliton pattern formations in a figure-of-eight passively mode-locked fiber laser. Operation in the anomalous dispersion regime with a double-clad fiber amplifier allows generation of up to several hundreds of solitons per round trip. We report the observation of remarkable soliton distributions: soliton gas, soliton liquid, soliton polycrystal, and soliton crystal, thus indicating the universality of such complexes.
18 parameter deformations of the Peregrine breather of order 10 solutions of the NLS equation
2015
We present here new solutions of the focusing one-dimensional nonlinear Schrödinger (NLS) equation which appear as deformations of the Peregrine breather of order 10 with 18 real parameters. With this method, we obtain new families of quasi-rational solutions of the NLS equation, and we obtain explicit quotients of polynomial of degree 110 in x and t by a product of an exponential depending on t. We construct new patterns of different types of rogue waves and recover the triangular configurations as well as rings and concentric rings as found for the lower-orders.
Rational solutions to the mKdV equation associated to particular polynomials
2021
International audience; Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.
Development and applications of nonlinear optical spectroscopy: 13th ECONOS/33rd ECW meeting in Dole (France)
2015
International audience
Mixed Driven Refinement Design of Multidimensional Models based on Agglomerative Hierarchical Clustering
2015
20 pages; International audience; Data warehouses (DW) and OLAP systems are business intelligence technologies allowing the on-line analysis of huge volume of data according to users' needs. The success of DW projects essentially depends on the design phase where functional requirements meet data sources (mixed design methodology) (Phipps and Davis, 2002). However, when dealing with complex applications existing design methodologies seem inefficient since decision-makers define functional requirements that cannot be deduced from data sources (data driven approach) and/or they have not sufficient application domain knowledge (user driven approach) (Sautot et al., 2014b). Therefore, in this p…
La recherche publique en France en 2019 : Diagnostic et propositions du Comité national
2019
Projet porté par le Comité National du CNRS.; Dans le contexte de la préparation d’une loi de programmation pluriannuelle de la recherche, ce document présente la contribution du Comité national de la recherche scientifique à l’analyse de la situation de la recherche publique en France, de son évolution récente (depuis la loi LRU de 2008) et de ses perspectives, ainsi qu’un ensemble de propositions qui ont été finalisées et ont fait l’objet d’une approbation solennelle lors de la session plénière du Comité national organisée à Paris le 4 juillet 2019.
Evolution des problèmes malherbologiques à l’adoption du semis direct sous couvert
2019
Le semis direct sous couvert regroupe un ensemble de pratiques appliquées simultanément en vue de répondre à trois principes : réduction totale du travail du sol, couverture optimale des sols et diversification de la succession culturale. Cette approche représente, en France, une stratégie innovante qui semble convaincre de plus en plus d’agriculteurs. En se privant du travail du sol, la gestion des adventices en semis direct sous couvert devient plus complexe, ce qui limite l’adoption généralisée du semis direct sous couvert. Afin d’éclairer les problèmes malherbologiques rencontrés en semis direct sous couvert, un questionnaire en ligne à destination des agriculteurs a été diffusée en Fra…
Electronic implementation of a non-linear oscillator subjected to noise : application to the modeling of neuronal information coding
2011
We study the nonlinear FitzHugh-Nagumo model witch describes the dynamics of excitable neural element. It is well known that this system exhibits three different possible responses. Indeed, the system can be mono-stable, oscillatory or bistable. In the oscillatory regime, the system periodically responds by generating action potential. By contrast, in the mono-stable state the system response remains constant after a transient. Under certain conditions, the system can undergo a bifurcation between the stable and the oscillatory regime via the so called Andronov-Hopf bifurcation. In this Phd thesis, we consider the FitzHugh-Nagumo model in the stable state, that is set near the Andronov-Hopf…