Picture of wind turbine against blue sky

Open Access research with a real impact...

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

The Energy Systems Research Unit (ESRU) within Strathclyde's Department of Mechanical and Aerospace Engineering is producing Open Access research that can help society deploy and optimise renewable energy systems, such as wind turbine technology.

Explore wind turbine research in Strathprints

Explore all of Strathclyde's Open Access research content

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

Full text not available in this repository. (Request a copy from the Strathclyde author)

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.