Ebook: Transverse Patterns in Nonlinear Optical Resonators

This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and the like. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, both optical systems and extended systems in general, is given.

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This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and the like. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, both optical systems and extended systems in general, is given.

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This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and the like. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, both optical systems and extended systems in general, is given.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-31
Order Parameter Equations for Lasers....Pages 33-49
Order Parameter Equations for Other Nonlinear Resonators....Pages 51-64
Zero Detuning: Laser Hydrodynamics and Optical Vortices....Pages 65-79
Finite Detuning: Vortex Sheets and Vortex Lattices....Pages 81-90
Resonators with Curved Mirrors....Pages 91-102
The Restless Vortex....Pages 103-115
Domains and Spatial Solitons....Pages 117-124
Subcritical Solitons I: Saturable Absorber....Pages 125-138
Subcritical Solitons II: Nonlinear Resonance....Pages 139-146
Phase Domains and Phase Solitons....Pages 147-167
Turing Patterns in Nonlinear Optics....Pages 169-192
Three-Dimensional Patterns....Pages 193-203
Patterns and Noise....Pages 205-224
Back Matter....Pages 225-226

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This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and the like. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, both optical systems and extended systems in general, is given.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-31
Order Parameter Equations for Lasers....Pages 33-49
Order Parameter Equations for Other Nonlinear Resonators....Pages 51-64
Zero Detuning: Laser Hydrodynamics and Optical Vortices....Pages 65-79
Finite Detuning: Vortex Sheets and Vortex Lattices....Pages 81-90
Resonators with Curved Mirrors....Pages 91-102
The Restless Vortex....Pages 103-115
Domains and Spatial Solitons....Pages 117-124
Subcritical Solitons I: Saturable Absorber....Pages 125-138
Subcritical Solitons II: Nonlinear Resonance....Pages 139-146
Phase Domains and Phase Solitons....Pages 147-167
Turing Patterns in Nonlinear Optics....Pages 169-192
Three-Dimensional Patterns....Pages 193-203
Patterns and Noise....Pages 205-224
Back Matter....Pages 225-226
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