This book is devoted primarily to the various kinds of resonant nonlinear in teractions of light with two-level (or, in many cases, multilevel) systems. The interactions can involve one-photon as well as multiphoton processes in which some combinations of frequencies of participating photons are close to tran sitions of atoms or molecules (e.g., we consider stimulated Raman scattering (SRS) as a resonant interaction). This approach involves a broad spectrum of problems. Discussion of some of the basic phenomena as well as the pertinent theory could be found, for instance, in such well-known…mehr
This book is devoted primarily to the various kinds of resonant nonlinear in teractions of light with two-level (or, in many cases, multilevel) systems. The interactions can involve one-photon as well as multiphoton processes in which some combinations of frequencies of participating photons are close to tran sitions of atoms or molecules (e.g., we consider stimulated Raman scattering (SRS) as a resonant interaction). This approach involves a broad spectrum of problems. Discussion of some of the basic phenomena as well as the pertinent theory could be found, for instance, in such well-known books as the ones due to N. Bloembergen; S.A. Akhmanov and R.V. Khokhlov; L. Allen and J.H. Eberly, and to V.M. Fain and Ya.1. Khanin. The book "Quantum Electronics" by A. Yariv could serve as an introductory guide to the subject. Thus, some of the basic material in the present book will already be well known to the reader who is an expert in the field. There are, for instance, general densitymatrix equations; two-level model and basic effects associated with this model, such as saturation of one-photon absorption and Raby oscillations; some basic multiphoton processes such as two-photon absorption, SRS, etc.
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.
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.
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