ENGLISH

Asymptotic Representation of Relaxation Oscillations in Lasers

By Elena V. Grigorieva , Sergey A. Kaschenko (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-42860-4, 978-3-319-42859-8
DOI
10.1007/978-3-319-42860-4
Language
english
Format
PDF
Filesize
5 MB (5766861 bytes)
Series
Understanding Complex Systems
Edition
1
Pages
VIII, 230\233
Time added
2016-12-08 02:00:00
LasersMathematical and Computational Physics;Ordinary DiOptical Devices;Engineering Fluid DynamicsPhotonicsTheoretical

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.

Similar books