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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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Computationally determined existence and stability of transverse structures. I. Periodic optical patterns

Harkness, G.K. and Firth, W.J. and Oppo, G.L. and McSloy, J.M. (2002) Computationally determined existence and stability of transverse structures. I. Periodic optical patterns. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66 (4). 046605-1. ISSN 1063-651X

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Abstract

We present a Fourier-transform based, computer-assisted, technique to find the stationary solutions of a model describing a saturable absorber in a driven optical cavity. We illustrate the method by finding essentially exact hexagonal and roll solutions as a function of wave number and of the input pump. The method, which is widely applicable, also allows the determination of the domain of stability (Busse balloon) of the pattern, and sheds light on the mechanisms responsible for any instability. To show the usefulness of our numerical technique, we describe cracking and shrinking patches of patterns in a particular region of parameter space.