## Nonlinear Dynamics and Spatial Complexity in Optical SystemsA 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 |

### Other editions - View all

Nonlinear Dynamics and Spatial Complexity in Optical Systems R. G. Harrison No preview available - 2017 |

### Common terms and phrases

amplitude analysis approximation Arecchi atomic beam behaviour bifurcation bistability boundary Brambilla chaotic coefficient coherent complex corresponding Coullet counterpropagating coupling strength curve defects density density matrix described detuning differential equations diffraction diffusion dynamics eigenvalues electric field emission emitters evolution experimental fluid frequency Fresnel number Gaeta Gaussian Ginzburg-Landau Grynberg hexagonal homoclinic orbit Hopf bifurcation input field instability intensity interaction laser array lasing lasing without inversion linear Lugiato mirror modulation Moloney nonlinear optical observed obtained order parameter oscillators pattern formation periodic orbit perturbation phase gradient phase singularities Phys Rev Lett Physics plane wave polarisation polarization population inversion propagation pump quantum Raman laser region resonance scale Section shown in Figure shows simulations solitons solution spatial stable Staliunas stationary structure symmetry Theorem theory threshold topological trajectories transition transverse modes traveling wave turbulence two-level unstable manifold Vorontsov vortex vortices wave vector wavenumber zero