+612 9045 4394
 
CHECKOUT
Spatial Hysteresis and Optical Patterns : Springer Series in Synergetics - Nikolay N. Rosanov

Spatial Hysteresis and Optical Patterns

Springer Series in Synergetics

Hardcover

Published: 11th April 2002
Ships: 7 to 10 business days
7 to 10 business days
RRP $344.99
$238.75
31%
OFF
or 4 easy payments of $59.69 with Learn more

Other Available Formats (Hide)

  • Paperback View Product Published: 1st December 2010
    $158.40

From the reviews: "This book is very well written and contains many important and new original results that certainly play an important role in today's nonlinear optics." Physicalia

"This book is very well written and contains many important and new original results that certainly play an important role in today's nonlinear optics." (Physicalia, 25/3, 2003)

Introduction to the Physics of Distributed Bistable Systemsp. 1
Types of Optical Bistability, Nonlinearity, and Feedbackp. 1
Bistability, Multistability, and Hysteresisp. 1
Absolute and Convective Bistabilityp. 3
Conditions of Bistabilityp. 4
Types of Optical Bistabilityp. 5
Increasing Absorption Optical Bistabilityp. 6
Electro-optical Schemesp. 7
Nonlinear Cavities (Interferometers)p. 7
Nonlinear Reflectionp. 7
Bistable Lasersp. 8
Transverse and Longitudinal Distributivity; Componencyp. 8
Why Study Distributed Bistable Systems?p. 10
First Investigations of Distributed Optical Bistable Systemsp. 13
Increasing Absorption Bistabilityp. 17
Model and Initial Equationsp. 18
Bistability of Point Systemsp. 21
Stationary Statesp. 22
Kineticsp. 23
Effect of Noisep. 27
Steady-State Distributions in a One-Dimensional Systemp. 30
Mechanical Analogyp. 30
Stationary Inhomogeneous Distributionsp. 33
Stability of Steady-State Distributionsp. 36
Switching Wavesp. 38
Switching Waves and the Mechanical Analogyp. 38
Stable and Unstable Switching Wavesp. 40
Numerical Simulationsp. 43
Spatial Switchingp. 44
Wide Radiation Beamp. 48
Asymptotic Analysisp. 48
Spatial Bistabilityp. 52
Spatial Hysteresisp. 54
Systems with Sharp Transverse Inhomogeneityp. 56
Longitudinal and Transverse Distributivityp. 60
Longitudinal Distributivityp. 61
Joint Longitudinal and Transverse Distributivityp. 62
Other Factors; Bibliographyp. 64
Two-Dimensional Transverse Distributivityp. 64
Fluctuationsp. 65
Effect of Delayp. 66
Isolated Loopsp. 66
Componencyp. 66
Experimentsp. 67
Hybrid Bistable Devicesp. 69
Stationary, Periodic, and Chaotic Regimesp. 69
Effect of Finite Feedback Bandwidthp. 77
Driven Nonlinear Interferometersp. 83
Models of Nonlinear Interferometersp. 84
Driven Ring Interferometersp. 84
Model of Transverse Distributivityp. 88
Model of a Nonlinear Screenp. 91
Transversely Confined and Point Schemesp. 92
Model of Slow Nonlinearityp. 93
Stability of Stationary Regimesp. 94
Self-pulsationsp. 95
Modulation Instabilityp. 97
Instabilities of Transverse Field Structurep. 101
Matrix Representationp. 101
Cavities Without and with Magnificationp. 104
Model of Threshold Nonlinearityp. 108
General Solutionp. 108
Switching Wavesp. 109
Stability of Switching Wavesp. 111
Switching Waves: Influence of Inhomogeneitiesp. 113
Single Localized Structuresp. 114
Stability of Dissipative Optical Solitonsp. 115
Dissipative Solitons: Effect of Inhomogeneitiesp. 118
Cylindrically Symmetric Solitonsp. 121
Combined Switching Wavesp. 121
Bound Dissipative Optical Solitonsp. 122
The Case of Multistabilityp. 123
Structures for Other Nonlinearitiesp. 123
Switching Wavesp. 124
Metastability and Kinetics of Local Perturbationsp. 125
Dissipative Optical Solitonsp. 127
Effect of Inhomogeneitiesp. 135
Switching Wavesp. 136
Spatial Hysteresisp. 137
Oblique Incidencep. 139
"Mechanics" of Dissipative Solitonsp. 143
Dissipative Solitons and Spatial Hysteresisp. 147
Switching Waves and Solitons in Conditions of Instabilityp. 148
Plane-Wave Excitationp. 148
Excitation with a Radiation Beamp. 152
Effect of Transverse Instabilityp. 155
Effect of Componencyp. 156
Model of a Magneto-optic Interferometerp. 157
Homogeneous Stationary and Nonstationary Regimesp. 158
Modulation Instabilityp. 161
Polarized Dissipative Optical Solitonsp. 162
Related Schemesp. 163
Bibliography; Experimentsp. 169
Instabilities Related to Longitudinal Distributivityp. 169
Wide-Aperture Semiconductor Microresonatorsp. 170
Instabilities of the Transverse Field Structurep. 170
Switching Waves and Spatial Hysteresisp. 172
Dissipative Optical Solitonsp. 174
Nonlinear Radiation Reflectionp. 177
Reflection of Plane Wave from Transparent Nonlinear Mediap. 177
Nonlinear Layerp. 177
Nonlinear Half-Spacep. 181
A Weakly Absorbing Nonlinear Mediump. 189
Nonlinear Reflection of Beamsp. 196
Boundary Conditionsp. 196
Paraxial Approachp. 199
Nonparaxial Approach: Bistability of Beam Reflectionp. 201
Discussion and Referencesp. 203
Bistable Laser Schemesp. 207
Model and General Relationsp. 207
Laser Modelp. 207
Maxwell-Bloch Equationsp. 208
Energy Balancep. 210
Symmetryp. 211
Monochromatic Plane-Wave Solutionsp. 212
Modulation Instabilityp. 213
Transversely One-Dimensional Structuresp. 213
Fast Nonlinearityp. 213
Effect of Relaxation Ratesp. 219
Transversely Two-Dimensional Structuresp. 225
Stripesp. 225
Cylindrically Symmetric Intensity Distributionp. 226
Asymmetric Rotating Laser Solitonsp. 227
Nonparaxial Laser Solitonsp. 230
Interaction of Laser Solitonsp. 231
Conditions of "Galilean Symmetry"p. 231
Regimes of Weak Overlappingp. 232
Multisoliton Structuresp. 239
Effect of Relaxationp. 240
Effect of Smooth and Sharp Inhomogeneitiesp. 242
Smooth Inhomogeneitiesp. 242
Sharp Inhomogeneities (Mirror Edges)p. 243
Laser Bullets - Three-Dimensional Laser Solitonsp. 246
Bifurcation Analysisp. 247
Formation of Laser Bulletsp. 249
Interaction of Laser Bulletsp. 251
Nonparaxial Effectsp. 252
Conclusion: Comparing Different Types of Optical Patternsp. 255
Paraxial and Nonparaxial Radiation Propagationp. 259
Constitutive Equations for Medium Nonlinear Polarizationp. 269
Transverse Structures and Digital Optical Computingp. 273
Bistability of the Quantum Anharmonic Oscillatorp. 279
Transverse Effects for Squeezed States of Lightp. 287
Referencesp. 294
Indexp. 307
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540427933
ISBN-10: 3540427937
Series: Springer Series in Synergetics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 308
Published: 11th April 2002
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.39