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Asymptotic Representation of Relaxation Oscillations in Lasers
Hardcover
Series: Understanding Complex Systems
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783319428598
Publisher: Springer
Published: Nov 17 2016
Pages: 230
Weight: 1.13
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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.
1 different editions
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Asymptotic Representation of Relaxation Oscillations in Lasers
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