Nonlinear dynamics and spatial complexity in optical systems : the Forty-first Scottish Universities Summer School in Physics, Edinburgh, August 1992
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Bibliographic Information
Nonlinear dynamics and spatial complexity in optical systems : the Forty-first Scottish Universities Summer School in Physics, Edinburgh, August 1992
Scottish Universities Summer School in Physics , Institute of Physics Pub., c1993
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"A NATO Advanced Study Institute."
Includes bibliographical references and index
Series editor: P. Osborne
Description and Table of Contents
Description
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.
Table of Contents
- Order Parameter of Oscillators: Introduction
- Linear and Nonlinear oscillators
- Spatially distributed oscillators
- Topological Defects in a CGL equation
- Defect-Dynamics in a CGL equation
- Conclusion (P Coullet et al). Pattern Formation and Pattern Recognition: Introduction
- Order parameters and the slaving principle
- Some examples of formation of spatial patterns
- Generalized Ginzburg-Landau Equations
- Some examples from fluid dynamics
- Pattern recognition (H Haken). Global Bifurcations in Finite Dimensional Flows: Introduction
- General principles of homoclinic bifurcations
- Examples
- Conclusion (C Sparrow). Pattern Formation and Space-Time Organization in Nonlinear Optics: Introduction
- Pattern formation and complexity
- phase singularities, topological defects and turbulence
- Pattern formation and pattern competition (F T Arecchi).Instabilities and Quantum Noise Reduction in Nonlinear optical Mixing: Introduction
- FWM in longitudinal modes
- FWM in transverse plane-wave modes
- FWM in Gauss-Laguerre transverse modes (M Brambilla). Complexity and Defects in Passive nonlinear Optical Systems: Introduction
- Pattern formation in an optical cavity
- Mirror Feedback Systems
- Counterpropagation instabilities in a Kerr medium
- Conclusion (W J Firth). Deterministic Chaos and Nonlinear Dynamics in Nonlinear Optics: Introduction
- Instabilities of counterpropagating laser beams
- Dynamics and instabilities in stimulated Brillouin scattering (R W Boyd). Spatio-Temporal Structures in Wide Aperture Lasers: Introduction
- Two level and Raman lasers: background theory
- Near and beyond threshold behavior: amplitude and phase equations
- Numerical simulations beyond threshold
- Conclusions (J V Moloney and A C Newell). Nonlinear Dynamics of Semiconductor Laser Arrays: Introduction
- Coupled-mode rate equations
- Stability boundaries for a two-emitter array
- Stability of three-emitter and larger arrays
- Phase-dynamical description of laser arrays (H Winful). Transverse Structure formation and Vortices in Lasers
- Introduction
- CGLE and vortex dynamics in class A lasers
- Beyond the CGLE
- Laser and hydrodynamics
- Vortices in class B lasers
- Conclusion (M F H Tarrojo et al). Amplification and Lasing without Inversion: Introduction
- Atomic interference
- The Maxwell-Bloch equations
- Linear analysis
- Nonlinear analysis
- The driven ^D*L and the ^Ih schemes
- The inversion problem
- Lasing without inversion
- Experimental results (P Mandel). Participant's addresses. Index.
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