Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Models, propagation, stationary phenomena
- 1 The rate-equation model for the laser
- 2 The interaction of a system of two-level atoms with the electromagnetic field
- 3 The Maxwell–Bloch equations
- 4 Inclusion of the irreversible processes in the atomic equations
- 5 Propagation in irreversible Maxwell–Bloch equations
- 6 Optical nonlinearities. Materials with quadratic nonlinearities
- 7 Optical nonlinearities. Materials with cubic nonlinearities
- 8 Optical resonators. The planar ring cavity. Empty cavity. Linear cavity
- 9 A nonlinear active ring cavity: the ring laser, stationary states
- 10 The adiabatic elimination principle
- 11 A nonlinear passive ring cavity: optical bistability
- 12 Modal equations for the ring cavity. The single-mode model
- 13 Single- and two-mode models
- 14 Nonlinear dynamics in Fabry–Perot cavities
- 15 Inhomogeneous broadening
- 16 The semiconductor laser
- 17 Lasers without inversion and the effects of atomic coherence
- 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
7 - Optical nonlinearities. Materials with cubic nonlinearities
from Part I - Models, propagation, stationary phenomena
Published online by Cambridge University Press: 05 March 2015
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Models, propagation, stationary phenomena
- 1 The rate-equation model for the laser
- 2 The interaction of a system of two-level atoms with the electromagnetic field
- 3 The Maxwell–Bloch equations
- 4 Inclusion of the irreversible processes in the atomic equations
- 5 Propagation in irreversible Maxwell–Bloch equations
- 6 Optical nonlinearities. Materials with quadratic nonlinearities
- 7 Optical nonlinearities. Materials with cubic nonlinearities
- 8 Optical resonators. The planar ring cavity. Empty cavity. Linear cavity
- 9 A nonlinear active ring cavity: the ring laser, stationary states
- 10 The adiabatic elimination principle
- 11 A nonlinear passive ring cavity: optical bistability
- 12 Modal equations for the ring cavity. The single-mode model
- 13 Single- and two-mode models
- 14 Nonlinear dynamics in Fabry–Perot cavities
- 15 Inhomogeneous broadening
- 16 The semiconductor laser
- 17 Lasers without inversion and the effects of atomic coherence
- 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
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- Nonlinear Optical Systems , pp. 74 - 84Publisher: Cambridge University PressPrint publication year: 2015