All-Optical Noninvasive Delayed Feedback Control of by Sylvia Schikora PDF

By Sylvia Schikora

ISBN-10: 365801539X

ISBN-13: 9783658015398

ISBN-10: 3658015403

ISBN-13: 9783658015404

​The stabilization of risky states hidden within the dynamics of a approach, particularly the keep an eye on of chaos, bought a lot consciousness within the final years. during this paintings, a widely known keep watch over procedure 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 an eye on sign is a phase-tunable superposition of the laser sign, and provokes the laser to function in an in a different way volatile periodic kingdom 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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Further, a meanfield-type approximation is used, assuming that the occupation inversion in the DFB laser sections can be described by spatially averaged carrier densities ns (t) [SHW+ 06]. At all interfaces, linear boundary conditions are assumed: E + (+,t) E − (−,t) = t+ r+ r− t− E + (−,t) . 11) Here, arguments and subscripts ∓ refer to incidence from left- or right hand side. The incoming waves at the front and end facet are set to zero: E + (−,t) = 0, E − (+,t) = 0. (t± ) and (r± ) are the transmission and reflection coefficients, respectively, at the interfaces.

However, the two frequencies are not coupled, their timescales differ by orders of magnitude, and thus E (t) can be considered as modulated wave [Ran82]. Here, only the slow optical amplitude E is considered. 1) n=0 with tn = t − τl − nτ. Above expression resembles Eq. 2) for the control signal in extended delayed feedback control. 2 Experimental Control Setup 17 effective reflectivity. R = Re−αL contains the mirror power reflectivity R and an additional term considering the cavity losses. The feedback strength K in Eq.

The diode yields an electric signal IPH (t) proportional to the optical power: IPH (t) ∼ P(t) = |E(t)|2 . 02 ns. 13: Photograph of the experimental control setup. The bare laser chip is biased by three current needles (I1 − I3 ). The optical output at the left facet is coupled into a fiber and analyzed. At the right facet, the FP is coupled. 26 2 All-Optical Control Setup density during the sampling time interval T (with t0 the center of the interval): t0 +T /2 I(t) · e−iωt dt IT (ω,t0 ) = 1/T t0 −T /2 of the converted electric signal in the radiofrequency (rf) range.

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All-Optical Noninvasive Delayed Feedback Control of Semiconductor Lasers by Sylvia Schikora


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