TY - BOOK AU - Lugiato,Luigi AU - Prati,Franco AU - Brambilla,Massimo TI - Nonlinear optical systems SN - 9781107062672 (hbk) U1 - 535.2 23 PY - 2015/// CY - Cambridge PB - Cambridge University Press KW - Nonlinear optics KW - Photonics KW - Quantum electronics N1 - 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 N2 - An in-depth exploration of the dynamics of lasers and other relevant optical systems for graduate students and researchers ER -