Controlling extended systems with spatially filtered, time-delayed feedback

M. E. Bleich, D. Hochheiser, Jerome V Moloney, J. E S Socolar

Research output: Contribution to journalArticle

87 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2119-2126
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number3 SUPPL. A
StatePublished - 1997

Fingerprint

Delayed Feedback
Extended Systems
Spatial Filtering
spatial filtering
Semiconductor Lasers
Linear Stability Analysis
traveling waves
Traveling Wave
Optical System
Time Delay
Initial conditions
time lag
degrees of freedom
semiconductor lasers
Degree of freedom
Real-time
Predict
Numerical Simulation
simulation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Controlling extended systems with spatially filtered, time-delayed feedback. / Bleich, M. E.; Hochheiser, D.; Moloney, Jerome V; Socolar, J. E S.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 3 SUPPL. A, 1997, p. 2119-2126.

Research output: Contribution to journalArticle

@article{7c38b8ab7f9e49ab87d576bce2b0317c,
title = "Controlling extended systems with spatially filtered, time-delayed feedback",
abstract = "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.",
author = "Bleich, {M. E.} and D. Hochheiser and Moloney, {Jerome V} and Socolar, {J. E S}",
year = "1997",
language = "English (US)",
volume = "55",
pages = "2119--2126",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3 SUPPL. A",

}

TY - JOUR

T1 - Controlling extended systems with spatially filtered, time-delayed feedback

AU - Bleich, M. E.

AU - Hochheiser, D.

AU - Moloney, Jerome V

AU - Socolar, J. E S

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001091883&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001091883&partnerID=8YFLogxK

M3 - Article

VL - 55

SP - 2119

EP - 2126

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3 SUPPL. A

ER -