Contrary to monographs on non-linear optics this book concentrates on problems of self-organization in various important contexts. The reader learns how patterns in non-linear optical systems are created and what theoretical methods can be applied to describe them. Next, various aspects of pattern formation such as associative memory, information processing, spatio-temporal instability, photo refraction, and so on are treated. The book addresses graduate students and researchers in physics and optical engineering.
Contrary to monographs on non-linear optics this book concentrates on problems of self-organization in various important contexts. The reader learns how patterns in non-linear optical systems are created and what theoretical methods can be applied to describe them. Next, various aspects of pattern formation such as associative memory, information processing, spatio-temporal instability, photo refraction, and so on are treated. The book addresses graduate students and researchers in physics and optical engineering.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Self-Organization in Nonlinear Optics - Kaleidoscope of Patterns.- 1 What Is This Book About?.- 2 Nonlinear Optics: The Good Old Times.- 3 The First Model - Kerr-Slice/Feedback Mirror System.- 4 Diffusion, Diffraction, and Spatial Scales.- 5 One More Scheme: The First Step Toward Optical Synergetics.- 6 Nonlocal Interactions; Optical Kaleidoscope of Patterns.- 7 OK-Equation and "Dry Hydrodynamics".- 8 One More Nonlinear Element: Two-Component Optical Reaction-Diffusion Systems.- 9 Diffraction at Last; Rolls and Hexagons.- 10 diffraction and Diffraction.- 11 Far Away from Hexagons: Delay in Time and Space.- 12 Diffusion + Diffraction + (Interference) + Nonlocal Interactions = Akhseals.- References.- 1 Information Processing and Nonlinear Physics: From Video Pulses to Waves and Structures.- 1 Information Encoding by Carrier Modulation and the Physics of Nonlinear Oscillations and Waves.- 2 Modulation of Light Waves and Information Encoding in Digital Optical Computers. Optical Triggers.- 3 Strong Optical Nonlinearities. Nonlinear Materials.- 4 Generation and Transformation of Femtosecond Light Pulses.- 5 Control of Transverse Interactions in Nonlinear Optical Resonators: Generation, Hysteresis, and Interaction of Nonlinear Structures.- 6 Conclusion. Nonlinear Optics and Molecular Electronics.- References.- 2 Optical Design Kit of Nonlinear Spatial Dynamics.- 1 Elementary Optical Synergetic Blocks.- 2 Integral Transverse Interactions.- 3 Optical Counterparts of Two-Component Reaction-Diffusion Systems.- 4 Conclusion.- References.- 3 Pattern Formation in Passive Nonlinear Optical Systems.- 1 Induced and Spontaneous Patterns.- 2 Mirror Feedback Systems.- 3 Pattern Formation in Optical Cavities.- 4 Conclusion.- References.- 4 Spatio-Temporal Instability ThresholdCharacteristics in Two-Level Atom Devices.- 1 Linear Stability Analysis of Stationary Solutions.- 2 Feedback Mirror Experiment.- 3 The Ségard and Macke Experiment.- 4 Rayleigh Self-Oscillation in an Intrinsic System.- 5 Conclusion.- References.- 5 Transverse Traveling-Wave Patterns and Instabilities in Lasers.- 1 Basic Equations and Transverse Traveling-Wave Solution.- 2 Instabilities: Direct Stability Analysis and Phase Equations.- 3 Pattern Transition and Selection.- 4 Conclusion.- References.- 6 Laser-Based Optical Associative Memories.- 1 Nonlinear Dynamic Equations and Steady-State Equations.- 2 Single- and Multimode Stationary Solutions. Spatial Multistability.- 3 Operation with Injected Signal.- 4 General Description of the System.- References.- 7 Pattern and Vortex Dynamics in Photorefractive Oscillators.- 1 Pattern Formation and Complexity.- 2 Phase Singularities, Topological Defects, and Turbulence.- 3 Theory of Pattern Formation and Pattern Competition.- References.- 8 Prom the Hamiltonian Mechanics to a Continuous Media. Dissipative Structures. Criteria of Self-Organization.- 1 The Transition from Reversible Equations of Mechanics to Irreversible Equations of the Statistical Theory.- 2 The Unified Description of Kinetic and Hydrodynamic Motion.- 3 The Equation of Entropy Balance. The Heat Flow.- 4 Equations of Hydrodynamics with Self-Diffusion.- 5 Effect of Self-Diffusion on the Spectra of Hydrodynamic Fluctuations.- 6 The Kinetic Approach in the Theory of Self-Organization - Synergetics. Basic Mathematical Models.- 7 Kinetic and Hydrodynamic Description of the Heat Transfer in Active Medium.- 8 Kinetic Equation for Active Medium of Bistable Elements.- 9 Kinetic Fluctuations in Active Media.- 10 Natural Flicker Noise ("1/f Noise").- 11 Criteria ofSelf-Organization.- 12 Conclusion. Associative Memory and Pattern Recognition.- References.
Self-Organization in Nonlinear Optics - Kaleidoscope of Patterns.- 1 What Is This Book About?.- 2 Nonlinear Optics: The Good Old Times.- 3 The First Model - Kerr-Slice/Feedback Mirror System.- 4 Diffusion, Diffraction, and Spatial Scales.- 5 One More Scheme: The First Step Toward Optical Synergetics.- 6 Nonlocal Interactions; Optical Kaleidoscope of Patterns.- 7 OK-Equation and "Dry Hydrodynamics".- 8 One More Nonlinear Element: Two-Component Optical Reaction-Diffusion Systems.- 9 Diffraction at Last; Rolls and Hexagons.- 10 diffraction and Diffraction.- 11 Far Away from Hexagons: Delay in Time and Space.- 12 Diffusion + Diffraction + (Interference) + Nonlocal Interactions = Akhseals.- References.- 1 Information Processing and Nonlinear Physics: From Video Pulses to Waves and Structures.- 1 Information Encoding by Carrier Modulation and the Physics of Nonlinear Oscillations and Waves.- 2 Modulation of Light Waves and Information Encoding in Digital Optical Computers. Optical Triggers.- 3 Strong Optical Nonlinearities. Nonlinear Materials.- 4 Generation and Transformation of Femtosecond Light Pulses.- 5 Control of Transverse Interactions in Nonlinear Optical Resonators: Generation, Hysteresis, and Interaction of Nonlinear Structures.- 6 Conclusion. Nonlinear Optics and Molecular Electronics.- References.- 2 Optical Design Kit of Nonlinear Spatial Dynamics.- 1 Elementary Optical Synergetic Blocks.- 2 Integral Transverse Interactions.- 3 Optical Counterparts of Two-Component Reaction-Diffusion Systems.- 4 Conclusion.- References.- 3 Pattern Formation in Passive Nonlinear Optical Systems.- 1 Induced and Spontaneous Patterns.- 2 Mirror Feedback Systems.- 3 Pattern Formation in Optical Cavities.- 4 Conclusion.- References.- 4 Spatio-Temporal Instability ThresholdCharacteristics in Two-Level Atom Devices.- 1 Linear Stability Analysis of Stationary Solutions.- 2 Feedback Mirror Experiment.- 3 The Ségard and Macke Experiment.- 4 Rayleigh Self-Oscillation in an Intrinsic System.- 5 Conclusion.- References.- 5 Transverse Traveling-Wave Patterns and Instabilities in Lasers.- 1 Basic Equations and Transverse Traveling-Wave Solution.- 2 Instabilities: Direct Stability Analysis and Phase Equations.- 3 Pattern Transition and Selection.- 4 Conclusion.- References.- 6 Laser-Based Optical Associative Memories.- 1 Nonlinear Dynamic Equations and Steady-State Equations.- 2 Single- and Multimode Stationary Solutions. Spatial Multistability.- 3 Operation with Injected Signal.- 4 General Description of the System.- References.- 7 Pattern and Vortex Dynamics in Photorefractive Oscillators.- 1 Pattern Formation and Complexity.- 2 Phase Singularities, Topological Defects, and Turbulence.- 3 Theory of Pattern Formation and Pattern Competition.- References.- 8 Prom the Hamiltonian Mechanics to a Continuous Media. Dissipative Structures. Criteria of Self-Organization.- 1 The Transition from Reversible Equations of Mechanics to Irreversible Equations of the Statistical Theory.- 2 The Unified Description of Kinetic and Hydrodynamic Motion.- 3 The Equation of Entropy Balance. The Heat Flow.- 4 Equations of Hydrodynamics with Self-Diffusion.- 5 Effect of Self-Diffusion on the Spectra of Hydrodynamic Fluctuations.- 6 The Kinetic Approach in the Theory of Self-Organization - Synergetics. Basic Mathematical Models.- 7 Kinetic and Hydrodynamic Description of the Heat Transfer in Active Medium.- 8 Kinetic Equation for Active Medium of Bistable Elements.- 9 Kinetic Fluctuations in Active Media.- 10 Natural Flicker Noise ("1/f Noise").- 11 Criteria ofSelf-Organization.- 12 Conclusion. Associative Memory and Pattern Recognition.- References.
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"I liked this book very much. The contributions, which stem from some of the leading groups in the field, are almost uniformly of high quality, and have been assembled by (the editors) into a cohesive set...I can strongly recommend this volume. It has both breadth and depth, and gives an accurate portrayal of the current state of the art." - Mark Saffman, OFD, Riso National Laboratory
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