Asymptotic Representation of Relaxation Oscillations in Lasers by Elena V. Grigorieva, Sergey A. Kaschenko.

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 interactio...

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Bibliographic Details
Main Authors: Grigorieva, Elena V. (Author), Kaschenko, Sergey A. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Understanding Complex Systems,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a 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. 
520 |a 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. 
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650 0 |a Lasers. 
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