Instabilities and Chaos in Quantum Optics

1. Front Matter

   Pages I-XIII

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2. Introduction

   1. Introduction

      • F. T. Arecchi, R. G. Harrison

      Pages 1-7

3. Instabilities and Chaos in Active Systems

   1. Instabilities and Chaos in Single-Mode Homogeneous Line Lasers

      • F. T. Arecchi

      Pages 9-48

   2. Experimental Measurements of Transitions to Pulsations and Chaos in a Single Mode, Unidirectional Ring Laser with an Inhomogeneously-Broadened Medium

      • N. B. Abraham, A. M. Albano, T. H. Chyba, L. M. Hoffer, M. F. H. Tarroja, S. P. Adams et al.

      Pages 49-71

   3. Single- and Multi-Mode Operation of a Laser with an Injected Signal

      • D. K. Bandy, L. A. Lugiato, L. M. Narducci

      Pages 73-108

   4. Experimental Observations of Single Mode Laser Instabilities in Optically Pumped Molecular Lasers

      • D. J. Biswas, R. G. Harrison, C. O. Weiss, W. Klische, D. Dangoisse, P. Glorieux et al.

      Pages 109-121

   5. Quantum Treatment of Amplified Spontaneous Emission in High-Gain Free-Electron Lasers

      • R. Bonifacio, F. Casagrande

      Pages 123-138

4. Instabilities and Chaos in Passive Systems

   1. Global Bifurcations and Turbulence in a Passive Optical Resonator

      • J. V. Moloney

      Pages 139-173

   2. Experimental Verification of Regenerative Pulsations and Chaos

      • M. W. Derstine, J. L. Jewell, H. M. Gibbs, F. A. Hopf, M. C. Rushford, L. D. Sanders et al.

      Pages 175-199

   3. Instabilities and Routes to Chaos in Passive All-Optical Resonators Containing Molecular Gases

      • R. G. Harrison, W. J. Firth, I. A. Al-Saidi

      Pages 201-236

   4. Transmission Properties of a Sodium-Filled Fabry-Perot Resonator

      • G. Giusfredi, S. Cecchi, E. Petriella, P. Salieri, F. T. Arecchi

      Pages 237-249

5. Back Matter

   Pages 251-253

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Of the variety of nonlinear dynamical systems that exhibit deterministic chaos optical systems both lasers and passive devices provide nearly ideal systems for quantitative investigation due to their simplicity both in construction and in the mathematics that describes them. In view of their growing technical application the understanding, control and possible exploitation of sources of instability in these systems has considerable practical importance. The aim of this volume is to provide a comprehensive coverage of the current understanding of optical instabilities through a series of reviews by leading researchers in the field. The book comprises nine chapters, five on active (laser) systems and four on passive optically bistable systems. Instabilities and chaos in single- (and multi-) mode lasers with homogeneously and broadened gain media are presented and the influence of an injected signal, loss modulation and also feedback of laser output on this behaviour is treated. Both electrically excited and optically pumped gas lasers are considered, and an analysis of dynamical instabilities in the emission from free electron lasers are presented. Instabilities in passive optically bistable systems include a detailed analysis of the global bifurcations and chaos in which transverse effects are accounted for. Experimental verification of degenerative pulsations and chaos in intrinsic bistable systems is described for various optical feedback systems in which atomic and molecular gases and semiconductors are used as the nonlinear media. Results for a hybrid bistable optical system are significant in providing an important test of current understanding of the dynamical behaviour of passive bistable systems.

• chaos
• laser
• optics
• quantum optics
• semiconductor

• Dipartimento di Fisica dell’ Università, Istituto Nazionale di Ottica, Firenze, Italy

  F. Tito Arecchi

• Department of Physics, Heriot-Watt University, Riccarton, Edinburgh, UK

  Robert G. Harrison

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