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.
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© 2001 Kluwer Academic Publishers
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Suryanto, A., van Groesen, E., Hoekstra, H.J.W.M. (2001). A Low-Dimensional Model for Deformation of Bichromatic Waves in Third Order Nonlinear Media. In: Driessen, A. (eds) Nonlinear Optics for the Information Society. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-1267-1_30
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DOI: https://doi.org/10.1007/978-94-015-1267-1_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5876-8
Online ISBN: 978-94-015-1267-1
eBook Packages: Springer Book Archive