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Phys. Rev. E 66, 046606 (2002) [8 pages]

Computationally determined existence and stability of transverse structures. II. Multipeaked cavity solitons

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J. M. McSloy*, W. J. Firth, G. K. Harkness, and G.-L. Oppo
Department of Physics, University of Strathclyde, 107 Rottenrow, Glasgow G4 ONG, Scotland

Received 31 May 2002; published 10 October 2002

We apply quasi-exact numerical techniques to the calculation of stationary one- and two-dimensional, bound multipeaked cavity soliton solutions of a model describing a saturable absorber in a driven optical cavity. We calculate the existence and stability domains of a wide range of such states and determine the perturbative eigenmodes that cause loss of stability. We relate the existence of N-peaked states to the locking range between patterned and homogeneous solutions, as a function of two parameters.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.046606
DOI:
10.1103/PhysRevE.66.046606
PACS:
42.65.Tg, 42.50.Md, 42.65.Sf

*Electronic address: jmc@phys.strath.ac.uk

Electronic address: willie@phys.strath.ac.uk

Electronic address: gianluca@phys.strath.ac.uk