Nonlinear Optical Systems

Luigi Lugiato, Franco Prati, Massimo Brambilla

• Publisher: Cambridge University Press
• Year: 2015
• Print ISBN: 9781107062672
• eBook ISBN: 9781316236697
• Topic: Physical Sciences
• Subtopic: Optics & Light

Guiding graduate students and researchers through the complex world of laser physics and nonlinear optics, this book provides an in-depth exploration of the dynamics of lasers and other relevant optical systems, under the umbrella of a unitary spatio-temporal vision. Adopting a balanced approach, the book covers traditional as well as special topics in laser physics, quantum electronics and nonlinear optics, treating them from the viewpoint of nonlinear dynamical systems. These include laser emission, frequency generation, solitons, optically bistable systems, pulsations and chaos and optical pattern formation. It also provides a coherent and up-to-date treatment of the hierarchy of nonlinear optical models and of the rich variety of phenomena they describe, helping readers to understand the limits of validity of each model and the connections among the phenomena. It is ideal for graduate students and researchers in nonlinear optics, quantum electronics, laser physics and photonics.

Table of contents

• Cover
• Half title
• Title
• Copyright
• Dedication
• Contents
• Preface
• Part I Models, propagation, stationary phenomena
• Part II Dynamical phenomena, instabilities, chaos
• Part III Transverse optical patterns
• Appendix A The Routh–Hurwitz stability criterion
• Appendix B Calculation of the oscillatory instability boundary
• Appendix C Coefficients of the characteristic equation (20.20)
• Appendix D Derivation of equations (20.27) and (20.28)
• Appendix E Coefficients of equations (20.60) and (20.61)
• Appendix F The exact boundary of the Risken–Nummedal–Graham–Haken instability
• Appendix G Nonlinear analysis of the roll solution
• References
• Index