Phys. Rev. Lett. 77, 4007–4010 (1996)Stabilization, Selection, and Tracking of Unstable Patterns by Fourier Space TechniquesReceived 8 July 1996; published in the issue dated 4 November 1996 A new method for the stabilization and manipulation of unstable states of a pattern forming system is presented. The technique is applied to an optical system where unstable homogeneous solutions, rolls, squares, hexagons, and honeycombs are all stabilized and tracked. The control consists of a small spatial modulation to the input pump field, which is derived from the Fourier transform of the output electric field. Once stabilization is achieved, the control vanishes. The method can be used as a numerical tool for pattern forming systems to determine the existence and stability of solutions. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4007
DOI:
10.1103/PhysRevLett.77.4007
PACS:
42.65.Sf, 47.54.+r
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.