Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Models, propagation, stationary phenomena
- Part II Dynamical Phenomena, Instabilities, Chaos
- 18 Some general aspects in nonlinear dissipative dynamical systems
- 19 Special limits in the single-mode model
- 20 The linear-stability analysis of the Maxwell–Bloch equations
- 21 Adiabatic elimination in the complete Maxwell–Bloch equations
- 22 Dynamical aspects in the laser
- 23 Single-mode and multimode operation in inhomogeneously broadened lasers
- 24 Dynamical aspects in optical bistability
- 25 Self-pulsing in other optical systems
- 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
21 - Adiabatic elimination in the complete Maxwell–Bloch equations
from Part II - Dynamical Phenomena, Instabilities, Chaos
Published online by Cambridge University Press: 05 March 2015
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Models, propagation, stationary phenomena
- Part II Dynamical Phenomena, Instabilities, Chaos
- 18 Some general aspects in nonlinear dissipative dynamical systems
- 19 Special limits in the single-mode model
- 20 The linear-stability analysis of the Maxwell–Bloch equations
- 21 Adiabatic elimination in the complete Maxwell–Bloch equations
- 22 Dynamical aspects in the laser
- 23 Single-mode and multimode operation in inhomogeneously broadened lasers
- 24 Dynamical aspects in optical bistability
- 25 Self-pulsing in other optical systems
- 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
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- Nonlinear Optical Systems , pp. 247 - 251Publisher: Cambridge University PressPrint publication year: 2015