Self-Organization in Optical Systems and Applications in Information Technology
[Book]
edited by Mikhail A. Vorontsov, Walter B. Miller.
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
(xv, 247 pages 105 illustrations)
Springer series in synergetics, 66.
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-Sliee/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 Threshold Characteristics 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 From 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 of Self-Organization --; 12 Conclusion. Associative Memory and Pattern Recognition --; References.
The book provides an overview of nonlinear optics by leading researchers in the field. It addresses recent problems of self-organization in various nonlinear optical systems, and discusses new applications to optical processing. Theoretical models and methods describing optical pattern formation in nonlinear systems along with newly published experimental results are presented. Specific topics considered include various aspects of pattern formation, optical associative memory, spatio-temporal instability, and chaos in optical systems. This volume is intended for graduate students and researchers who wish to expand their knowledge of modern nonlinear optics.