All-Optical Noninvasive Delayed Feedback Control of by Sylvia Schikora

By Sylvia Schikora

​The stabilization of volatile states hidden within the dynamics of a method, particularly the keep watch over of chaos, got a lot recognition within the final years. during this paintings, a well known keep an eye on strategy referred to as behind schedule suggestions keep watch over is utilized for the 1st time solely within the all-optical area. A multisection semiconductor laser gets optical suggestions from an exterior Fabry-Perot interferometer. The keep watch over sign is a phase-tunable superposition of the laser sign, and provokes the laser to function in an in a different way risky periodic kingdom with a interval equivalent to the time hold up. The keep watch over is noninvasive, as the mirrored sign has a tendency to 0 while the objective country is reached.

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1) √ comprises a factor R corresponding to the reflection at the front mirror, and all propagation losses. Eq. 9) contains three new parameters: the control loop latency time τl , which corresponds to the travelling time between laser and FP, and two optical phase shifts φ and ϕ. A too large latency time τl can overrule the delay time τ, and reduces the control efficiency (see Appendix A). In the design of the experiment, the first goal is to achieve a minimal latency τl , which is of the order of τ, or below.

Therefore, the first condition on this setup is still satisfied. Simulations show that not the complete range of τl is usable for control. Instead, the regions of successful noninvasive control versus τl are located around integer multiples of τ, and decrease in size with growing τ (see Fig. 10). The smallest realizable value is τl = τ. Thus, in all following experiments (except for Chapter 4) the latency time τl is always set equal to the delay time τ. Latency Phase ϕ The phase shift ϕ accumulated in the latency round trip steers the algebraic sign of the reflected control signal (see Eq.

Prior to the bifurcation, Δν decreases linearly (open circles in Fig. 3). The RO amplitude is still low here (black squares). Beyond the bifurcation, the RO amplitude starts to grow rapidly, while the width stays on a minimum value. 3: Supercritical Hopf bifurcation in the freerunning ITL. Width (circles) and height (squares) of the dominant peak in the power spectrum of the solitary ITL versus phase current. Dashed: guide for the eye. Solid: linear fit for determining the Hopf bifurcation (H). DFB currents: I1 = 30 mA, I2 = 45 mA.

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