New PDF release: All-Optical Noninvasive Delayed Feedback Control of
By Sylvia Schikora
The stabilization of volatile states hidden within the dynamics of a approach, particularly the keep an eye on of chaos, acquired a lot consciousness within the final years. during this paintings, a well known keep watch over approach known as behind schedule suggestions keep an eye on is utilized for the 1st time fullyyt 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 country with a interval equivalent to the time hold up. The keep watch over is noninvasive, as the mirrored sign has a tendency to 0 whilst the objective kingdom is reached.
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Extra info for All-Optical Noninvasive Delayed Feedback Control of Semiconductor Lasers
The value of F is determined by the selected etalon and cannot be inﬂuenced in measurement. 3) are well controllable by the experimentalist. 3) can be illustrated in Fourier space. The optical intensity spectrum |E(ω)|2 of a selfpulsation with period T is a comb of equidistant lines, separated by a frequency shift 2π/T (dashed lines in Fig. 12). The reﬂectivity spectrum |Er (ω)|2 /|Ei (ω)|2 of a FP interferometer with internal roundtrip time τ has equidistant minima (’resonances’), separated by 2π/τ (gray line in Fig.
B) Focus x∗ with ﬁnite ω. c) DFC of unstable focus with delay τ chosen equal to half the intrinsic focus period. F: control force. this dimension. In case of a real positive Λ0,k with ωk = 0, solutions leave x∗ straight in one direction (Fig. 1 (a)). For a complex conjugate pair Λ0,k = λk ±iωk the solution would spiral in a plane around x∗ (Fig. 1 (b)). In the latter case, x∗ is called a ‘focus‘. Fig. 1 (c) demonstrates the functional principle of DFC of an unstable focus. One question is how to choose the delay time τ when controlling a stationary state.
For a complex conjugate pair Λ0,k = λk ±iωk the solution would spiral in a plane around x∗ (Fig. 1 (b)). In the latter case, x∗ is called a ‘focus‘. Fig. 1 (c) demonstrates the functional principle of DFC of an unstable focus. One question is how to choose the delay time τ when controlling a stationary state. The dynamic system departs from an unstable focus along spirals, with the intrinsic focus period T0 . The control force F should suppress the outwards spiralling movement. The optimal choice for the delay time τopt is equal to half the intrinsic focus period T0 [HS05], τopt = T0 /2 = π/ω.
All-Optical Noninvasive Delayed Feedback Control of Semiconductor Lasers by Sylvia Schikora