Self-organization in optical systems and applications in information technology
Author(s)
Bibliographic Information
Self-organization in optical systems and applications in information technology
(Springer series in synergetics)
Springer-Verlag, c1998
2nd ed
Available at 14 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
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  United Kingdom
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.- 1.1 Characteristics of a Synergetic Block.- 1.2 Optical Synergetic Block Based on LCLV.- 1.3 Main Mathematical Models.- 1.4 Optical Multistability and Switching Waves.- 2 Integral Transverse Interactions.- 2.1 The Synergetic Optical Block with an Electronic Feedback Circuit.- 3 Optical Counterparts of Two-Component Reaction-Diffusion Systems.- 3.1 Linear Stability Analysis and Bifurcation of Uniform States.- 4 Conclusion.- References.- 3 Pattern Formation in Passive Nonlinear Optical Systems.- 1 Induced and Spontaneous Patterns.- 1.1 Materials and Geometries.- 2 Mirror Feedback Systems.- 2.1 Kerr Slice with Feedback Mirror.- 2.2 Basic Model and Stability Analysis.- 2.3 Liquid Crystal Light Valve Systems.- 3 Pattern Formation in Optical Cavities.- 3.1 Vector Kerr Model and Equations.- 3.2 Spatial Stability of Symmetric Solutions.- 3.3 Pattern Formation in a Two-Level Optical Cavity.- 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.- 2.1 Experimental Results.- 2.2 Linear Analysis.- 2.3 Static and Dynamical Thresholds.- 2.4 Role of the Longitudinal Grating.- 2.5 Discussion of the Phase Conjugation Effects.- 2.6 Role of the Homogeneous Dephasing Time.- 2.7 Role of the Time Delay.- 3 The Segard and Macke Experiment.- 3.1 Experiment.- 3.2 Linear Analysis.- 3.3 Physics of the Coupling.- 3.4 No Rabi Gain at Threshold.- 4 Rayleigh Self-Oscillation in an Intrinsic System.- 4.1 Characteristics of the Self-Oscillation in the No-Pump Depletion Model.- 4.2 Threshold Characteristics for Depleted Pump Fields.- 4.3 Doppler Effect.- 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.- 1.1 The Multimode Optical Oscillator: 1-, 2-, 3-Dimensional Optics.- 1.2 The Photorefractive Ring Oscillator. How to Control the Fresnel Number.- 1.3 Periodic (PA) and Chaotic (CA) Alternation and Space-Time Chaos.- 2 Phase Singularities, Topological Defects, and Turbulence.- 2.1 Phase Singularities in Linear Waves. Speckle Experiments.- 2.2 Phase Singularities in Nonlinear Optics: Scaling Laws.- 2.3 Comparison of Vortex Statistics in Speckle and Photorefractive Patterns.- 2.4 Transition from Boundary- to Bulk-Controlled Regimes.- 3 Theory of Pattern Formation and Pattern Competition.- 3.1 Equations of Photorefractive Oscillator.- 3.2 Truncation to a Small Number of Modes: Numerical Evidence of PA, CA, and STC.- 3.3 Symmetry Breaking at the Onset of 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.- 1.1 Physical Definition of Continuous Medium.- 1.2 The Gibbs Ensemble for Nonequilibrium Processes.- 1.3 The Unified Definition of "Continuous Medium" Averaging over Physically Infinitesimal Volume.- 1.4 The Constructive Role of the Dynamic Instability of the Motion of Atoms.- 2 The Unified Description of Kinetic and Hydrodynamic Motion.- 2.1 The Generalized Kinetic Equation.- 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.- 9.1 The Langevin Source in the Kinetic Equation.- 9.2 Spatial Diffusion. "Tails" in the Time Correlations.- 9.3 The Langevin Source in the Reaction Diffusion (FKPP) Equation.- 10 Natural Flicker Noise ("1/f Noise").- 10.1 Natural Flicker Noise for Diffusion Processes.- 10.2 Natural Flicker Noise for Reaction-Diffusion Processes.- 11 Criteria of Self-Organization.- 11.1 Evolution in the Space of Controlling Parameters. S-Theorem.- 11.2 The Comparison of the Relative Degree of Order of States on the Basis of the S-Theorem Using Experimental Data.- 12 Conclusion. Associative Memory and Pattern Recognition.- References.
by "Nielsen BookData"