Pattern formation in a passive Kerr cavity

Scroggie, AJ, Firth, WJ, Mcdonald, GS ORCID: https://orcid.org/0000-0002-1304-5182, Tlidi, M, Lefever, R and Lugiato, LA 1994, 'Pattern formation in a passive Kerr cavity' , Chaos, Solitons and Fractals, 4 (8-9) , pp. 1323-1354.

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Abstract

Analytical and numerical investigations of a cavity containing a Kerr medium are reported. The mean field equation with plane-wave excitation and diffraction is assumed. Stable hexagons are dominant close to threshold for a self-focusing medium. Bistable switching frustrates pattern formation for a self-defocusing medium. Under appropriate parametric conditions that we identify, there is a coexistence of a homogeneous stationary solution, of a hexagonal pattern solution and of a hexagonal state. Further above threshold, the hexagons show defects, and then break up with apparent turbulence. For Gaussian beam excitation, the different symmetry leads to polygon formation for narrow beams, but quasihexagonal structures appear for broader beams.

Item Type:	Article
Themes:	Energy Media, Digital Technology and the Creative Economy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title:	Chaos, Solitons and Fractals
Publisher:	Elsevier
Refereed:	Yes
ISSN:	0960-0779
Related URLs:	http://www.sciencedirect.com/science/art...
Depositing User:	GS McDonald
Date Deposited:	14 Oct 2011 11:04
Last Modified:	28 Oct 2020 14:00
URI:	http://usir.salford.ac.uk/id/eprint/18348

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