Resonant Nonlinear Interactions of Light with Matter

1. Resonant Multiphoton Interactions and the Generalized Two-Level System.- 1.1 The Basic Equations Describing the Evolution of Radiation Interacting with Matter.- 1.2 The Truncated Equations for the Density Matrix.- 1.3 Polarization of Matter and the Generalized Dipole Moment.- 1.4 The Generalized Two-Level System.- 2. The Molecular Response to the Resonant Effects of Quasimonochromatic Fields.- 2.1 The Change of Populations of the Generalized Two-Level System in Quasimonochromatic Fields.- 2.2 Susceptibility in Incoherent Multiphoton Processes.- 2.3 Spectroscopy of Polarizabilities of Excited States.- 2.4 Molecular Response for Resonant Parametric Interactions.- 3. The Dynamics of Quantum Systems for Resonant Interactions with Strong Nonstationary Fields.- 3.1 The Equation of Motion and Its Properties.- 3.2 Amplitude Modulation for Exact Frequency Resonance, ? ? 0 (Exact Solutions).- 3.3 Amplitude-Frequency Modulation of the Field (Exact Solutions).- 3.4 Approximate Solutions in Various Limiting Cases.- 3.5 Relaxation in a Stationary Field.- 3.6 Polarization Dynamics in a Nonstationary Field.- 4. Polarization of Resonant Media.- 4.1 Nonlinear Polarization of Gaseous Media.- 4.2 Dispersion Properties of the Resonant Susceptibility of Media with Identically Oriented Particles.- 4.3 The Equation for the Nonlinear Susceptibility for the Single-Photon Resonance.- 4.4 The Properties of Spatial Harmonics of Susceptibility.- 5. Structure of One-Dimensional Waves for the Single-Photon Resonance.- 5.1 Conservation Laws for One-Dimensional Waves in Resonant Media.- 5.2 Stationary Oscillations in a Layer of Identical Molecules Without Distributed Losses.- 5.3 Stationary Oscillations in a Layer of Identical Molecules in the Presence of Distributed Losses.- 5.4 Rotation ofPolarization Planes of Countertravelling Waves in an Isotropic Nonlinear Medium.- 6. Three-Photon Resonant Parametric Processes.- 6.1 Addition and Doubling qf Frequencies for a Transition Frequency in Matter That Coincides with the Sum Frequency or the Frequency of the Harmonic.- 6.2 Generation of the Second Harmonic of Resonant Pumping....- 6.3 Resonant Division of Frequency.- 6.4 Generation of the Difference Frequency During Stimulated Raman Scattering.- 7. Four-Photon Resonant Parametric Interactions (RPI).- 7.1 Anti-Stokes Stimulated Raman Scattering.- 7.2 The Influence of Four-Photon RPIs on the Dynamics of the Stokes Components of SRS.- 7.3 Radiation Frequency Transformation in Four-Photon RPIs Based on Pumping Field TPA and SRS.- 7.4 On Soft Excitation of Stimulated Two-Photon Radiation.- 8. Self-Action of Light Beams Caused by Resonant Interaction with the Medium.- 8.1 Specific Features and Threshold Characteristics of Self-Focussing in an Absorbing Medium.- 8.2 The "Weak" Self-Focussing and Self-Defocussing of a Gaussian Beam in an Absorbing Medium.- 8.3 Self-Bending of Trajectories of Asymmetric Light Beams in Nonlinear Media.- 8.4 Conditions for the Existence of Self-Action Caused by Resonant Absorption.- 8.5 Self-Action of Light Caused by Stimulated Raman Scattering.- 8.6 Self-Action Effects at Nonlinear Interface.- 8.7 Optical Bistability Based on Mutual Self-Action of Counterpropagating Light Beams.- References.