Dynamics of Multisection Semiconductor Lasers

Sieber, Jan; Schneider, К. R.

doi:10.1023/b:joth.0000047355.47744.18

Cited by 10 publications

(8 citation statements)

References 29 publications

(20 reference statements)

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“…The additional PD and SNOLC bifurcations further complicate the dynamical constellation here. Simulations of the behavior in the transition region for a slightly modified AFL geometry in [81] have shown similar results regarding PD and irregular dynamics.…”

Section: Noise Induced Irregular Dynamicsmentioning

confidence: 54%

Nonlinear dynamics of semiconductor lasers with active optical feedback

et al. 2004

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Section: Noise Induced Irregular Dynamicsmentioning

confidence: 54%

Nonlinear dynamics of semiconductor lasers with active optical feedback

et al. 2004

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“…Because of their inherent speed, semiconductor lasers are of great interest as optical devices for fast data regeneration (reamplification, retiming, reshaping) in future photonic networks. Typically, these devices have a nonstationary working regime . The prediction of semiconductor laser dynamics and operation under both periodic and nonperiodic conditions require often the use of a numerical model.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of laser transmitter nonlinearity compensation technique for radio over fiber system

Neo

Alifah

Idrus

et al. 2011

Int J Numerical Modelling

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SUMMARY The task of reducing the noise and distortion generated by a laser transmitter has always been a challenge to improve the performance of radio over fiber systems. This paper presents a compensation system for nonlinear distortion of a laser transmitter supporting 5.2 GHz radio transmission over fiber employing a feed‐forward linearization technique. The nonlinearity of the laser diode is modeled using Volterra series analysis. The proposed linearization system is also simulated using commercial optical system software. The novel design has achieved 30 dB nonlinearity reduction considering 800 MHz modulation bandwidth. As an addition, this work also analyzes the effect of transmission length towards distortion reduction of the proposed system. Copyright © 2011 John Wiley & Sons, Ltd.

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“…A lot of such behaviour is described numerically, see e.g. [1,4,[10][11][12], but only a few of these results are mathematically rigorously founded [13][14][15][16]. The reason is that for applying, for example, abstract dynamical bifurcation theory, one needs a smooth dynamical system, existence and persistence of smooth invariant manifolds, that the linearized semigroup has a spectrum determined exponential dichotomy or a spectral mapping property, etc.…”

Section: Introductionmentioning

confidence: 99%

“…Peterhof and Sandstede [13] and Sieber [12,15] also assumed the coupled travelling wave equation to be linear, and, moreover, they considered a Galerkin projected version of the carrier rate equation. In this setting the equations are linear with respect to the infinite-dimensional state parameter (the space-dependent light amplitudes) and really non-linear only with respect to the remaining finite-dimensional state parameter (the carrier densities, which are piecewise constant in space).…”

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confidence: 99%

Well‐posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics

Lichtner

Radziunas

2006

Math Methods in App Sciences

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We prove existence, uniqueness, regularity and smooth dependence of the weak solution on the initial data for a semilinear, first order, dissipative hyperbolic system with discontinuous coefficients. Such hyperbolic systems have successfully been used to model the dynamics of distributed feedback multisection semiconductor lasers. We show that in a function space of continuous functions the weak solutions generate a smooth skew product semiflow. Using slow fast structure and dissipativity we prove the existence of smooth exponentially attracting invariant centre manifolds for the non-autonomous model. It can be shown that a C 0 semigroup on L ∞ has a bounded generator [5].WELL-POSEDNESS, SMOOTH DEPENDENCE AND CENTRE MANIFOLD REDUCTION 933 models, we are dealing with, such properties are proved in some exceptional cases only. This has been resolved recently in [8,9,17] for a general class of semilinear hyperbolic systems.On the other hand, it turns out the following: if the coefficients are sufficiently smooth with respect to time then all the interesting dynamics, which is observable in numerical and real world experiments, can be rigorously described by our general models. It occurs on exponentially attracting invariant manifolds of continuous functions. Such solutions do not possess jumps in space due to discontinuities of the initial data or to incompatible boundary data as discussed, e.g. in [18].Let us shortly discuss some related results: Jochmann and Recke [19] got existence and uniqueness of weak solutions under the assumption that the coupled travelling wave equations are linear with respect to the light amplitudes. They did not deal with smooth dependence of the solutions on the initial data.Peterhof and Sandstede [13] and Sieber [12,15] also assumed the coupled travelling wave equation to be linear, and, moreover, they considered a Galerkin projected version of the carrier rate equation. In this setting the equations are linear with respect to the infinite-dimensional state parameter (the space-dependent light amplitudes) and really non-linear only with respect to the remaining finite-dimensional state parameter (the carrier densities, which are piecewise constant in space). Hence, the state space for the light amplitudes could be chosen as a 'large' L 2 space, and, nevertheless, the authors rigorously got smooth semiflows and a rich bifurcation behaviour. Remark that in this setting the spectrum determined exponential dichotomy of the linearized semiflow is known due to a result of Neves, Ribeiro and Lopes [20].Renardy [14] and Haken and Renardy [21] considered not edge emitting, but ring lasers. Thus the spatial domain is not an interval, but a circle, and the Nemytskij operators map the 'small' space of continuously differentiable functions on the circle into itself.Similarly Illner and Reed [22] and Vanderbauwhede and Iooss [23, Section 4, Example 3] considered semilinear hyperbolic initial boundary value problems (not related to laser dynamics), where the non-linearities are compatible with the bo...

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Dynamics of Multisection Semiconductor Lasers

Cited by 10 publications

References 29 publications

Nonlinear dynamics of semiconductor lasers with active optical feedback

Nonlinear dynamics of semiconductor lasers with active optical feedback

Numerical analysis of laser transmitter nonlinearity compensation technique for radio over fiber system

Well‐posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics

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