Chaos in Laser-matter Interactions

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World Scientific, 1987 - Science - 369 pages
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Contents

DISSIPATIVE SYSTEMS
1
Introduction
2
Nonlinearity
10
Period Doubling to Chaos
16
Lyapunov Exponent
21
Power Spectra
28
Correlations
32
Remarks
35
Discussion
172
More Laser Instabilities
174
Optical Bistability
183
Chaos in Optical Bistability
189
HAMILTONIAN SYSTEMS
197
Classical Harailtonian Systems
198
Integrability and ActionAngle Variables
206
Integrability Invariant Tori and Quasiperiodicity
213

Feigenbaum Universality
37
Outline of Exact Renormalization Theory
44
Remarks on Experimental Observations
50
The Duffing Oscillator
58
Period Doubling to Chaos in a CO Laser Experiment
70
Bifurcations
73
The RuelleTakensNewhouse Scenario
83
Remarks
90
Strange Attractors Dimensions and Fractals
92
Measuring Lyapunov Exponents
98
Measuring Dimensions
103
Kolmogorov Entropy
106
Noise
109
MaxwellBloch Equations
117
The Lorenz Model and the SingleMode Laser
123
Homogeneous Broadening
139
Mode Splitting
146
Chaos Associated with the Casperson Instability
150
Experiments
160
Multimode Instabilities
162
Physical Explanations of SelfPulsing Instabilities
167
Transverse Mode Effects
171
Ergodicity Mixing and Chaos
214
The FermiPastaUlam Model
224
The KAM Theorem
228
Overlapping Resonances
230
The HSnonHeiles Model
241
Remarks
246
Characterization of Chaotic Behavior
250
Is Classical Physics Really Deterministic?
252
The Kicked Pendulum and the Standard Mapping
256
Chaos in a Classical Model of MultiplePhoton Excitation of Molecular Vibrations
264
Chaos in a Classical Model of a Rotating Molecule in a Laser Field
279
Stochastic Excitation
285
Quantum Chaos
293
Regular and Irregular Spectra
299
The Kicked TwoState System
307
Chaos in the JaynesCummings Model
318
Quantum Theory of the Kicked Pendulum
330
Localization
336
Classical and Quantum Calculations for a Hydrogen Atom
343
Epilogue
356
Copyright

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Page 368 - KAH van Leeuwen. G. v. Oppen. S. Renwick. JB Bowlin, PM Koch. RV Jensen. O. Rath. D. Richards, and JG Leopold. Phys. Rev. Lett. 55.

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