Controlling extended systems with spatially filtered, time-delayed feedback

Journal Article (Journal Article)

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the control scheme to a model of a transversely extended semiconductor laser in which a desirable, coherent traveling-wave state exists, but is a member of a nowhere stable family. Our scheme stabilizes this state and directs the system towards it from realistic, distant, and noisy initial conditions. As confirmed by numerical simulation, a linear stability analysis about the controlled state accurately predicts when the scheme is successful and illustrates some key features of the control including the individual merit of, and interplay between, the spatial and temporal degrees of freedom in the control. © 1997 The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Bleich, ME; Hochheiser, D; Moloney, JV; Socolar, JES

Published Date

  • January 1, 1997

Published In

Volume / Issue

  • 55 / 3

Start / End Page

  • 2119 - 2126

International Standard Serial Number (ISSN)

  • 1063-651X

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.55.2119

Citation Source

  • Scopus