Nonlinear Dynamics and Spatial Complexity in Optical Systems

Front Cover
R.G Harrison, J.S Uppal
CRC Press, Jan 1, 1993 - Technology & Engineering - 324 pages
A collection of prestigious postgraduate lectures, Nonlinear Dynamics and Spatial Complexity in Optical Systems reviews developments in the theory and practice of nonlinear dynamics and structural complexity, and explores modern-day applications in nonlinear optics. The book addresses systems including both singlemode and multimode lasers, bistable and multistable devices, optical fibers, counter-propagating beam interactions, nonlinear mixing, and related optical phenomena.
 

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Contents

Order Parameter of Oscillators
1
Linear and Nonlinear oscillators
2
Spatially distributed oscillators
6
Topological Defects in a CGL equation
8
DefectDynamics in a CGL equation
10
Conclusion
13
Pattern Formation and Pattern Recognition
21
Order parameters and the slaving principle
22
Examples
53
Conclusion
62
Pattern Formation and SpaceTime Organization in Nonlinear Optics
65
Pattern formation and complexity
67
Phase singularities topological defects and turbulence
84
Pattern formation and pattern competition
104
Instabilities and Quantum Noise Reduction in Nonlinear Optical Mixing
115
Complexity and Defects in Passive Nonlinear Optical Systems
137

Some examples of formation of spatial patterns
25
Generalized GinzburgLandau Equations
27
Some examples from fluid dynamics
32
Global Bifurcations in Finite Dimensional Flows
41
General principles of homoclinic bifurcations
43
Deterministic Chaos and Nonlinear Dynamics in Nonlinear Optics
185
SpatioTemporal Structures in Wide Aperture Lasers
197
Nonlinear Dynamics of Semiconductor Laser Arrays
217
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