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Understanding Complex Systems

Asymptotic Representation of Relaxation Oscillations in Lasers

Authors: Grigorieva, Elena V., Kaschenko, Sergey A.

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  • 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
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-42860-4
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-42859-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-82683-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-42860-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-42859-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-82683-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Representation of Relaxation Oscillations in Lasers
Authors
Series Title
Understanding Complex Systems
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42860-4
DOI
10.1007/978-3-319-42860-4
Hardcover ISBN
978-3-319-42859-8
Softcover ISBN
978-3-319-82683-7
Series ISSN
1860-0832
Edition Number
1
Number of Pages
VIII, 230
Number of Illustrations
73 b/w illustrations
Topics