All-Optical Noninvasive Delayed Feedback Control of by Sylvia Schikora

By Sylvia Schikora

​The stabilization of risky states hidden within the dynamics of a approach, particularly the regulate of chaos, acquired a lot consciousness within the final years. during this paintings, a widely known regulate technique referred to as behind schedule suggestions keep an eye on is utilized for the 1st time completely 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 another way volatile periodic nation with a interval equivalent to the time hold up. The regulate is noninvasive, as the mirrored sign has a tendency to 0 while the objective nation is reached.

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3 mA, IA = 9 mA. 3 GHz. (b) Suppression of the oscillations with τ ≈ T0 /2. 9 mA, IP = 32 mA, IA = 9 mA. 5 GHz. 03. 5. FP phase and latency phase are adjusted to achieve minimal FP reflection. Gray: freerunning laser, black: with resonant FP etalon. the shaded regions in Fig. 5 represents a preliminary stage of a stabilization of an unstable stationary state, which will be studied in Chapter 4. The Choice of the Delay Time τ In the previous measurement, a FP delay time τ = 57 ns was chosen for controlling a stationary state which shows damped RO with a period T0 = 116 ns.

Fabry-Perot Spectrometer Additionally, optical spectra are measured with a TL Series Laser Spectrum Analyzer by EXFO, which represents a tunable FabryPerot spectrometer. Here, the square |E(ω)|2 of the fourier transform of E(t) is determined. The optical output is sent through the FP spectrometer, while the frequency of the FP transmission maximum is tuned over a certain range. A diode behind the spectrometer detects the transmitted power in dependence on the frequency, thus generating an optical intensity spectrum.

Close to bifurcations, the stationary state can get less stable and the RO damping decreases. Here, omnipresent random fluctuations can induce self-oscillatory motion [NSS97], which is indicated by a weak broad peak appearing in the powerspectrum at the RO frequency. 5: Control of damped relaxation oscillations by resonant FP feedback. (a) relative FP transmission, (b) RO peak width, and (c) RO frequency, vs ϕ. Dotted lines: freerunning values. 5, τl ≈ τ. g. gray line in Fig. 6 (a) and (b)). The width of this precursor is proportional to the RO damping, and, thus, a measure for the stability of the cw state.

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