World Scientific Lecture Notes in Physics - Vol. 6
CHAOS IN LASER-MATTER INTERACTIONS
by P W Milonni, M-L Shih & J R Ackerhalt (LANL)
Contents:
- Dissipative Systems:
- Introduction
- Nonlinearity
-
Period Doubling to Chaos
- Lyapunov Exponent
- Power Spectra
- Correlations
- Remarks
- Feigenbaum Universality
- Feigenbaum Universality: Outline of Exact Renormalization Theory
- Experimental Observations
- Duffing Oscillator
- Period Doubling to Chaos in a CO2 Laser Experiment
- Bifurcations
- Intermittency (Pomeau-Manneville) Route to Chaos
- Quasiperiodicity to Chaos: Ruelle-Takens-Newhouse Scenario
- Strange Attractors, Dimensions, and Fractals
- Measuring Lyapunov Exponents
- Measuring Dimensions
- Kolmogorov Entropy
- Noise
- Maxwell-Bloch Equations
- Lorentz Model and Single-Mode Laser
- Single-Mode Instabilities: Homogeneous Broadening
- Mode Splitting
- Inhomogeneous Broadening: Chaos Associated with Casperson Instability
- Inhomogeneous Broadening: Experiments
- Multimode Instabilities
- Physical Explanations of Self-Pulsing Instabilities
- Transverse Mode Effects
- More Laser Instabilities
- Optical Bistability
- Chaos in Optically Bistability
- Hamiltonian Systems:
- Classical Hamiltonian Systems
- Integrability and Action-Angle Variables
- Integrability, Invariant Tori, and Quasiperiodicity
- Ergodicity, Mixing, and Chaos
- Fermi-Pasta-Ulam Model
- KAM Theorem
- Overlapping Resonances
- Henon-Heiles Model
- Characterization of Chaotic Behavior
- Is Classical Physics Really Deterministic?
- Kicked Pendulum and Standard Mapping
- Chaos in a Classical Model of Multiple-Photon Excitation of Molecular Vibrations
- Chaos in a Classical Model of a Rotating Molecule in a Laser Field
- Stochastic Excitation
- Quantum Chaos
- Regular and Irregular Spectra
- Kicked Two-State System
- Chaos in the Jaynes-Cummings Model
- Quantum Theory of the Kicked Pendulum
- Localization
- Classical and Quantum Calculations for a Hydrogen Atom in a Microwave Field
- Epilogue
Readership: Laser scientists and engineers, physicists, applied mathematicians
and researchers in nonlinear dynamics.
"I recommend this well written and scholarly book most strongly."
"It could serve as a textbook for a course on dynamical chaos."
| 384pp |
Pub. date: Jun 1987 |
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