174 research outputs found

    Exact States in Waveguides With Periodically Modulated Nonlinearity

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    We introduce a one-dimensional model based on the nonlinear Schrodinger/Gross-Pitaevskii equation where the local nonlinearity is subject to spatially periodic modulation in terms of the Jacobi dn function, with three free parameters including the period, amplitude, and internal form-factor. An exact periodic solution is found for each set of parameters and, which is more important for physical realizations, we solve the inverse problem and predict the period and amplitude of the modulation that yields a particular exact spatially periodic state. Numerical stability analysis demonstrates that the periodic states become modulationally unstable for large periods, and regain stability in the limit of an infinite period, which corresponds to a bright soliton pinned to a localized nonlinearity-modulation pattern. Exact dark-bright soliton complex in a coupled system with a localized modulation structure is also briefly considered . The system can be realized in planar optical waveguides and cigar-shaped atomic Bose-Einstein condensates.Comment: EPL, in pres

    Analytical method for designing grating compensated dispersion-managed soliton systems

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    This paper was published in Journal of Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=JOSAB-21-4-706. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. © 2004 The Optical Society.Peer reviewedPublisher PD

    Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres

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    Funding This work was supported by the Ministry of Education , Nigeria for financial support through the TETFUND scholarship 55 scheme; CSIR [grant number 03(1264)/12/EMR-II].Peer reviewedPostprin

    Control of Long Pulse Pumped Supercontinuum Generation Using Weak Trigger Signal

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    This work was supported by National Natural Science Foundation of China under Grants 61675008, and Shenzhen Science and Technology Innovation Commission under Grant GJHZ20180411185015272.Peer reviewedPostprin

    An analytical approach to integral resonant control of second-order systems

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    Statistical Modelling of Photonic Crystal Fibre based Surface Plasmon Resonance Sensors Resonant Peak Wavelength for Tolerance Studies

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    Funding: This research received no external funding. Acknowledgments: The authors thank Dr. Alison Nordon for the useful discussion. Samuel Osifeso acknowledges the award of a PhD scholarship by Tertiary Education Trust Fund (TETFund). Suoda Chu acknowledges the award of a Postdoc fellowship by the Community for Analytical Measurement Science (CAMS).Peer reviewedPublisher PD
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