Modulational instability arising from collective Rayleigh scattering

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Robb, G R M and McNeil, B W J (2003) Modulational instability arising from collective Rayleigh scattering. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67 (2). -. 025603. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.67.025603)

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Abstract

It is shown that under certain conditions a collection of dielectric Rayleigh particles suspended in a viscous medium and enclosed in a bidirectional ring cavity pumped by a strong laser field can produce a new modulational instability transverse to the wave-propagation direction. The source of the instability is collective Rayleigh scattering i.e., the spontaneous formation of periodic longitudinal particle-density modulations and a backscattered optical field. Using a linear stability analysis a dispersion relation is derived which determines the region of parameter space in which modulational instability of the backscattered field and the particle distribution occurs. In the linear regime the pump is modulationally stable. A numerical analysis is carried out to observe the dynamics of the interaction in the nonlinear regime. In the nonlinear regime the pump field also becomes modulationally unstable and strong pump depletion occurs.

ORCID iDs

Robb, G R M ORCID logoORCID: https://orcid.org/0000-0002-3004-5926 and McNeil, B W J ORCID logoORCID: https://orcid.org/0000-0002-7267-611X;
  • Item type:Article
    ID code:33762
    Dates:
    Date
    Event
    February 2003
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:18 Oct 2011 14:30
    Last modified:11 Nov 2024 09:51
    URI:https://strathprints.strath.ac.uk/id/eprint/33762
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