We present a feedback control method for the stabiliza- tion of unstable patterns and for the control of spatio-temporal disor- der. The control takes the form of a spatial modulation to the input pump, which is obtained via filtering in Fourier space of the output electric field. The control is powerful, exible and non-invasive: the feedback vanishes once control is achieved. We demonstrate by means of computer simulation, the effect of the control in two different optical systems.

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[Optical Society of America ]

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Other

• E Ott, C Grebogi, and J A Yorke, Phys. Rev. Rev. Lett. 64, 1196 (1990)
• C. Lourenço, M. Hougardy, and A. Babloyantz, Phys. Rev. E 52, 1528 (1995).
• M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
• L A Lugiato and C Oldano, Phys. Rev. A 37, 3896 (1988)
• W J Firth and A J Scroggie, Europhys. Lett. 26, 521 (1994)
• R Martin, A J Scroggie, G-L Oppo, W J Firth, Phys. Rev. Lett. 77, 4007 (1996)
• R Neubecker, G-L Oppo et al, Phys. Rev. A 52, 791 (1995)
• G D'Alessandro and W J Firth, Phys. Rev. A 46, 537 (1992)
• G K Harkness et al, Phys. Rev. A 50, 4310 (1994)
• G K Harkness et al, submitted to Phys. Rev. A , Rapid Communications

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