Nonlinear optical systems / Luigi Lugiato, Franco Prati, Massimo Brambilla.

Lugiato, Luigi, author.
Cambridge, England : Cambridge University Press, 2015.
1 online resource (xiv, 454 pages) : digital, PDF file(s).

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Nonlinear optics.
Electronic books.
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.
The rate-equation model for the laser
The interaction of a system of two-level atoms with the electromagnetic field
The Maxwell-Bloch equations
Inclusion of the irreversible processes in the atomic equations
Propagation in irreversible Maxwell-Bloch equations
Optical nonlinearities. Materials with quadratic nonlinearities
Optical nonlinearities. Materials with cubic nonlinearities
Optical resonators. The planar ring cavity. Empty cavity. Linear cavity
A nonlinear active ring cavity: the ring laser, stationary states
The adiabatic elimination principle
A nonlinear passive ring cavity: optical bistability
Model equations for the ring cavity. The single-mode model
Single- and two-mode models
Nonlinear dynamics in Fabry-Perot cavities
Inhomogeneous broadening
The semiconductor laser
Lasers without inversion and the effects of atomic coherence
Some general aspects in nonlinear dissipative dynamical systems
Special limits in the single-mode model
The linear-stability analysis of the Maxwell-Bloch equations
Adiabatic elimination in the complete Maxwell-Bloch equations
Dynamical aspects in the laser
Single-mode and multimode operation in inhomogeneously broadened lasers
Dynamical aspects in optical bistability
Self-pulsing in other optical systems
Gaussian beams and modes of cavities with spherical mirrors
General features about optical pattern formation in planar cavities
The Lugiato-Lefever model
Spatial patterns in cavities with spherical mirrors
Cavity solitons
Appendixes: A. The Routh-Hurwitz stability criterion
B. Calculation of the oscillatory instability boundary
C. Coefficients of the characteristic equation (20.20)
D. Derivation of equations (20.27) and (20.28)
E. Coefficients of equations (20.60) and (20.61)
F. The exact boundary of the Risken-Nummedal-Graham-Haken instability
G. Nonlinear analysis of the roll solution.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
Description based on online resource; title from PDF title page (ebrary, viewed April 10, 2015).
Prati, Franco, author.
Brambilla, Massimo, author.