Ginzburg-Landau equation bound to the metal-dielectric interface and transverse nonlinear optics with amplified plasmon polaritons

A. Marini and D. V. Skryabin
Phys. Rev. A 81, 033850 – Published 30 March 2010

Abstract

Using a multiple-scale asymptotic approach, we have derived the complex cubic Ginzburg-Landau equation for amplified and nonlinearly saturated surface plasmon polaritons propagating and diffracting along a metal-dielectric interface. An important feature of our method is that it explicitly accounts for nonlinear terms in the boundary conditions, which are critical for a correct description of nonlinear surface waves. Using our model we have analyzed filamentation and discussed the bright and dark spatially localized structures of plasmons.

    • Received 15 December 2009

    DOI:https://doi.org/10.1103/PhysRevA.81.033850

    ©2010 American Physical Society

    Authors & Affiliations

    A. Marini and D. V. Skryabin*

    • Centre for Photonics and Photonic Materials, Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom

    • *d.v.skryabin@bath.ac.uk

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    Issue

    Vol. 81, Iss. 3 — March 2010

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