scholarly journals DYNAMICAL AND TOPOLOGICAL INVARIANTS OF NONLINEAR DYNAMICS OF THE CHAOTIC LASER DIODES WITH AN ADDITIONAL OPTICAL INJECTION

2021 ◽  
pp. 140-155
Author(s):  
S.V. Kirianov ◽  
A. Mashkantsev ◽  
I. Bilan ◽  
A. Ignatenko
Keyword(s):  
Chaotic Dynamics ◽  
Laser Diodes ◽  
Chaotic Regime ◽  
Optical Injection ◽  
Rate Equations ◽  
Topological Invariants ◽  
Kolmogorov Entropy ◽  
Correlation Integral ◽  
Chaotic Laser ◽  
Dynamical Invariants

Nonlinear chaotic dynamics of the of the chaotic laser diodes with an additional optical injection  is computed within rate equations model, based on the a set of rate equations for the slave laser electric complex amplitude and carrier density. To calculate the system dynamics in a chaotic regime the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and  Kolmogorov entropy analysis are used. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc. New data on topological and dynamical invariants are computed and firstly presented.

scholarly journals ADVANCED COMPUTING TOPOLOGICAL AND DYNAMICAL INVARIANTS OF RELATIVISTIC BACKWARD-WAVE TUBE TIME SERIES IN CHAOTIC AND HYPERCHAOTIC REGIMES

2021 ◽  
pp. 110-117
Author(s):  
A. Tsudik ◽  
A. Glushkov ◽  
V. Ternovsky ◽  
P. Zaichko
Keyword(s):  
Time Series ◽  
Temporal Dynamics ◽  
Topological Invariants ◽  
Kolmogorov Entropy ◽  
Wave Tube ◽  
Transition To Chaos ◽  
Backward Wave ◽  
Charge Field ◽  
Dynamical Invariants ◽  
Advanced Computing

The advanced results of computing the dynamical and topological invariants (correlation dimensions values, embedding, Kaplan-York dimensions, Lyapunov’s exponents, Kolmogorov entropy etc) of the dynamics time series of the  relativistic backward-wave tube with accounting for  dissipation and space charge field and other effects are presented for chaotic and hyperchaotic regimes. It is solved a system of equations for unidimensional relativistic electron phase and field unidimensional complex amplitude.  The data obtained make more exact earlier presented preliminary data for  dynamical and topological invariants of the relativistic backward-wave tube dynamics in  chaotic regimes and allow to describe a scenario of transition to chaos in temporal dynamics.   

scholarly journals Orbital Instability of Chaotic Laser Diode with Optical Injection and Electronically Applied Chaotic Signal

Photonics ◽  
2020 ◽  
Vol 7 (2) ◽  
pp. 25
Author(s):  
Satoshi Ebisawa ◽  
Shinichi Komatsu
Keyword(s):  
Lyapunov Exponent ◽  
Laser Diode ◽  
Chaos Synchronization ◽  
Chaotic Dynamics ◽  
Optical Feedback ◽  
Chaotic Signal ◽  
Optical Injection ◽  
Chaotic Laser ◽  
Orbital Instability ◽  
Injection Ratio

We numerically studied the chaotic dynamics of a laser diode (LD) system with optical injection, where a chaotic signal, which is generated by an LD with optical feedback, is applied to the drive current of the master LD. To quantify the orbital instability of the slave LD, the Lyapunov exponent was calculated as a function of the optical injection ratio between the master and slave LDs and the optical feedback ratio of the applied signal. We found that the Lyapunov exponent was increased and the orbital instability was enhanced by applying a chaotic signal when the inherent system without the applied signal was in a “window”. Next, we investigated the orbital instability of the slave LD in terms of statistical and dynamical quantities of the applied chaotic signal. The maximal value of the Lyapunov exponent for a certain range of the injection ratio was calculated and we showed that a chaotic pulsation is suitable for enhancing the orbital instability of the LD system. We then investigated chaos synchronization between the LDs. It is concluded that the orbital instability of an LD with optical injection can be enhanced by applying chaotic pulsation without chaos synchronization.

scholarly journals Secure communication scheme using chaotic laser diodes subject to incoherent optical feedback and incoherent optical injection

2001 ◽  
Vol 26 (19) ◽  
pp. 1486 ◽  
Author(s):  
F. Rogister ◽  
A. Locquet ◽  
D. Pieroux ◽  
M. Sciamanna ◽  
O. Deparis ◽  
...  
Keyword(s):  
Secure Communication ◽  
Optical Feedback ◽  
Laser Diodes ◽  
Optical Injection ◽  
Chaotic Laser ◽  
Communication Scheme

scholarly journals Numerical Analysis of Dielectric Optical Waveguides

2021 ◽  
Vol 3 (1) ◽  
pp. 6-8
Author(s):  
João Paulo N. Torres ◽  
Carlos A. F. Fernandes ◽  
Ricardo A. Marques Lameirinhas
Keyword(s):  
Optical Communication ◽  
Optical Waveguides ◽  
Communication Systems ◽  
Cross Correlation ◽  
Laser Diodes ◽  
Rate Equations ◽  
Complex Structures ◽  
Crucial Importance ◽  
Simulation Tools ◽  
Optical Communication Systems

The stochastic resonance (SR) in direct-modulated laser diodes is investigated using an analytical approach based on the laser rate equations for the carrier and photon densities, that include the cross correlation between the photon and carrier noises. This subject may be particularly important in the domain of Optical Communication Systems, where increasing demands on laser performance have led to the fabrication of more and more complex structures. In viewing the development of the associated technology, the importance of the simulation tools revealed of crucial importance.

scholarly journals Analysis of optical injection on red and blue laser diodes for high bit-rate visible light communication

2019 ◽  
Vol 449 ◽  
pp. 79-85
Author(s):  
M.H.M. Shamim ◽  
M.A. Shemis ◽  
C. Shen ◽  
H.M. Oubei ◽  
O. Alkhazragi ◽  
...  
Keyword(s):  
Visible Light ◽  
Laser Diodes ◽  
Visible Light Communication ◽  
Blue Laser ◽  
Optical Injection ◽  
Bit Rate ◽  
High Bit Rate

Using Chaos for Fluid Mixing in Pulsed Micro Flows

2006 ◽  
Author(s):  
Arnaud Goullet ◽  
Nadine Aubry
Keyword(s):  
Reynolds Number ◽  
Chaotic Dynamics ◽  
Chaotic Regime ◽  
Two Fluids ◽  
Tracer Particles ◽  
Simple Geometry ◽  
Small Scales ◽  
Micro Flows ◽  
Pulsing Flow ◽  
Confluence Region

Even though mixing is crucial in many microfluidic applications where biological and chemical reactions are needed, efficient mixing remains a challenge since the Reynolds number of these flows is typically low, thus excluding turbulence as a potential mechanism for stirring. While various approaches relying on clever geometries, cross-flows, miniature stirrers or external fields have been used in the past, our work has focused on generating stirring in microchannels of simple geometry by merely pulsing flow rates at the inlets through which the two fluids are brought into the device. Flow visualizations from experiments, as well as numerical simulations, have indicated that the majority of the mixing takes place in the confluence region. Even though it has been shown in previous work that good mixing can be achieved at relatively large scales using this technique, one of the challenges is to make sure that mixing occurs at small scales (i.e., particle scales) as well. To address this issue, we carefully study the dynamics of tracer particles using both computational fluid dynamics and dynamical systems theory, and explore the parameter space in terms of the Reynolds number, Strouhal number and phase difference between the two inlet flows. Specifically, we generate a bifurcation diagram in which both regular and chaotic dynamics occur. As expected, the chaotic regime exhibits stretching and folding of material lines at all (large and small) scales, and is thus promising as an effective mixing tool.

Route to broadband chaos in a chaotic laser diode subject to optical injection

2009 ◽  
Vol 34 (8) ◽  
pp. 1144 ◽  
Author(s):  
An-Bang Wang ◽  
Yun-Cai Wang ◽  
Juan-Fen Wang
Keyword(s):  
Laser Diode ◽  
Optical Injection ◽  
Chaotic Laser

Anticipating synchronization of two chaotic laser diodes by incoherent optical coupling and its application to secure communications

2002 ◽  
Vol 207 (1-6) ◽  
pp. 295-306 ◽  
Author(s):  
F. Rogister ◽  
D. Pieroux ◽  
M. Sciamanna ◽  
P. Mégret ◽  
M. Blondel
Keyword(s):  
Laser Diodes ◽  
Secure Communications ◽  
Optical Coupling ◽  
Chaotic Laser

High Frequency Confinement Factor Modulation of Diode Lasers

1997 ◽  
Vol 08 (03) ◽  
pp. 547-574 ◽  
Author(s):  
S. A. Gurevich ◽  
M. S. Shatalov ◽  
G. S. Simin
Keyword(s):  
High Frequency ◽  
Laser Diodes ◽  
Rate Equations ◽  
Lateral Part ◽  
Optical Confinement ◽  
Initial Experiment ◽  
External Voltage ◽  
Fabry Perot ◽  
High Bit Rates ◽  
Advanced Model

In this paper we discuss the possibility of confinement factor and dual (confinement & pumping current) modulation of laser diodes. In the initial experiment, four-terminal Fabry–Pérot lasers of ridge guide type with two additional side electrodes were tested. The possibility of controlling the lateral part of the optical confinement factor by applying an external voltage to the side contacts was proved in this experiment. To analyze the dynamic behavior of the four-terminal laser under confinement factor and dual modulation, a simple model and a more accurate new model were developed, the last one based on the simultaneous solution of laser rate equations and matrix equation relating potentials and currents. The simulations carried out on the basis of the advanced model allowed us to propose an optimized four-terminal laser structure promising enhanced performance under dual modulation. It is shown that dual modulation may result in very efficient correction of output waveforms which leads to a much better opening of transmitted eye patterns at high bit rates as compared to direct modulation.

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