Asymptotic Representation of Relaxation Oscillations in Lasers

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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Main Authors: Grigorieva, Elena V. (Author, http://id.loc.gov/vocabulary/relators/aut), Kaschenko, Sergey A. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Understanding Complex Systems,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-42860-4
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100 1 |a Grigorieva, Elena V.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Asymptotic Representation of Relaxation Oscillations in Lasers  |h [electronic resource] /  |c by Elena V. Grigorieva, Sergey A. Kaschenko. 
250 |a 1st ed. 2017. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a VIII, 230 p. 73 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Understanding Complex Systems,  |x 1860-0832 
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. 
650 0 |a Mathematical physics. 
650 0 |a Differential equations. 
650 0 |a Lasers. 
650 0 |a Photonics. 
650 0 |a Fluid mechanics. 
650 1 4 |a Theoretical, Mathematical and Computational Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19005 
650 2 4 |a Ordinary Differential Equations.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12147 
650 2 4 |a Optics, Lasers, Photonics, Optical Devices.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P31030 
650 2 4 |a Engineering Fluid Dynamics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/T15044 
700 1 |a Kaschenko, Sergey A.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)