Odd-number theorem: optical feedback control at a subcritical Hopf bifurcation in a semiconductor laser

Odd-number theorem: optical feedback control at a subcritical Hopf bifurcation in a semiconductor laser

A subcritical Hopf bifurcation is prepared in a multisection semiconductor laser. In the free-running state, hysteresis is absent due to noise-induced escape processes. The missing branches are recovered by stabilizing them against noise through application of phase-sensitive noninvasive delayed opt...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2011-02, Vol.83 (2 Pt 2), p.026203-026203, Article 026203
Hauptverfasser: Schikora, S, Wünsche, H-J, Henneberger, F
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container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Schikora, S
Wünsche, H-J
Henneberger, F
description A subcritical Hopf bifurcation is prepared in a multisection semiconductor laser. In the free-running state, hysteresis is absent due to noise-induced escape processes. The missing branches are recovered by stabilizing them against noise through application of phase-sensitive noninvasive delayed optical feedback control. The same type of control is successfully used to stabilize the unstable pulsations born in the Hopf bifurcation. This experimental finding represents an optical counterexample to the so-called odd-number limitation of delayed feedback control. However, as a leftover of the limitation, the domains of control are extremely small.
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title Odd-number theorem: optical feedback control at a subcritical Hopf bifurcation in a semiconductor laser
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