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

By: Contributor(s): Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2015.Description: xiv, 454 p. : illustrations ; 26 cmISBN:
  • 9781107062672 (hbk)
Subject(s): DDC classification:
  • 535.2 23 L951
Contents:
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.
Summary: An in-depth exploration of the dynamics of lasers and other relevant optical systems for graduate students and researchers.
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Includes bibliographical references and index.

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.

An in-depth exploration of the dynamics of lasers and other relevant optical systems for graduate students and researchers.

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