A low-dimensional model for deformation of bichromatic waves in third order non linear media

A. Suryanto, E. van Groesen, H.J.W.M. Hoekstra

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    Abstract

    It is well known that the propagation of optical pulses and beams in material with third order nonlinearity can be modelled by the NLS equation. In this paper we present a low-dimensional model for the deformation of bichromatic pulses (beams). Motivated by the cubic nonlinearity in the NLS equation, the model is constructed in a 4D manifold of the complex coefficients of the two most dominan harmonic temporal modulation. By exploiting the conservation of energy and gauge, the model is reduced to a 2D Hamiltonian system. Numerical solutions of the system show that the present model describes the correct qualitative deformations. Furthermore, as long as higher frequency temporal modulations are ngeligible, the description is also quantitavely correct.
    Original languageEnglish
    Title of host publicationNonlinear Optics for the Information Society
    Subtitle of host publicationProceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000
    EditorsA. Driessen
    Place of PublicationDordrecht
    PublisherSpringer
    Pages147-147
    Number of pages1
    ISBN (Electronic)978-94-015-1267-1
    ISBN (Print)978-90-481-5876-8
    DOIs
    Publication statusPublished - 2001
    EventThird Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS) - University of Twente, Enschede, Netherlands
    Duration: 26 Oct 200027 Oct 2000
    Conference number: 3

    Workshop

    WorkshopThird Annual Meeting of the COST Action P2 Nonlinear Optics for the Information Society (NOIS)
    Abbreviated titleNOIS
    CountryNetherlands
    CityEnschede
    Period26/10/0027/10/00

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    Keywords

    • METIS-204633
    • IR-42918

    Cite this

    Suryanto, A., van Groesen, E., & Hoekstra, H. J. W. M. (2001). A low-dimensional model for deformation of bichromatic waves in third order non linear media. In A. Driessen (Ed.), Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000 (pp. 147-147). Dordrecht: Springer. https://doi.org/10.1007/978-94-015-1267-1_30