Nonlinear dynamics and spatial complexity in optical systems : the Forty-first Scottish Universities Summer School in Physics, Edinburgh, August 1992

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書誌事項

Nonlinear dynamics and spatial complexity in optical systems : the Forty-first Scottish Universities Summer School in Physics, Edinburgh, August 1992

edited by R.G. Harrison, J.S. Uppal

Scottish Universities Summer School in Physics , Institute of Physics Pub., c1993

大学図書館所蔵 件 / 全14件

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注記

"A NATO Advanced Study Institute."

Includes bibliographical references and index

Series editor: P. Osborne

内容説明・目次

内容説明

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.

目次

  • 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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