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Asymptotic Representation of Relaxation Oscillations in Lasers

  • Livre Relié
  • 240 Nombre de pages
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In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The model... Lire la suite
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Description

In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.

With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.

The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.



This book presents an analytical method for description of stronly nonlinear relaxation pulsing in laser systems

As a result of asymptotic integration, the original differential system is reduced to a discrete mapping

The method is applied to systems of autonomous and non-autonomous ordinary differential equations, as well as to infinite-dimensional delay-differential systems and to partial differential equations in discrete form of coupled systems

By analyzing fixed points of the mapping, we conclude about the existence of pulse regimes and their bifurcations

By studying maps dynamics, we obtain the conditions for multi-rytmicity (coexistence of pulsings), quasiperiodic and chaotic pulsing

Describing the control method using a single short-time external impact to a laser system

Examples of controlled fast switching of pulse regimes, phase synchronization in an ensemble of coupled systems and others



Texte du rabat

In this book we analyze  relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.

 With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete   maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as  multistability of large-amplitude relaxation cycles, bifurcations of cycles,  controlled switching of regimes, phase synchronization  in an ensemble of coupled systems and others.

The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.



Contenu
1 Introduction.- 2 Spiking in Single-Mode Laser.- 3 Spiking in Lasers with Delayed Feedback.- 4 Rectangular Pulsing in Lasers with Delayed Feedback.- 5 Relaxation Oscillations in Coupled Laser Systems.- Appendixes.-References.

Informations sur le produit

Titre: Asymptotic Representation of Relaxation Oscillations in Lasers
Auteur:
Code EAN: 9783319428598
ISBN: 3319428594
Format: Livre Relié
Editeur: Springer International Publishing
nombre de pages: 240
Poids: 530g
Taille: H241mm x B160mm x T19mm
Année: 2016
Auflage: 1st ed. 2017

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