Overview

"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 density matrix 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."

Full Product Details

Author:   Valerii S. Butylkin ,  Opect A. Germogenova ,  Alexander E. Kaplan ,  Yury G. Khronopulo
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1989
Dimensions:   Width: 17.00cm , Height: 1.90cm , Length: 24.20cm
Weight:   0.616kg
ISBN:  

9783642688935

ISBN 10:   3642688934
Pages:   342
Publication Date:   06 December 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.- 1.2.1 The Two-Level Model and the First Approximation of the Averaging Method.- 1.2.2 Second-Order Resonances and an Example of the Simultaneous Realization of Two Resonance Conditions.- 1.2.3 The Hamiltonian of the Averaged Motion.- 1.2.4 The Truncated Equations for Resonances of Arbitrary Order Involving Many Levels.- 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.- 2.1.1 Saturation of Populations of Resonant Levels and the Effect Which the Level Shift Under the Influence of Light Has on Saturation.- 2.1.2 Balance Equations and Interference of Transition Probability Amplitudes in Resonant Parametric Interactions.- 2.2 Susceptibility in Incoherent Multiphoton Processes.- 2.2.1 Expressions for Susceptibility.- 2.2.2 The Imaginary Part of Susceptibility as a Function of Fields and the Energy Absorbed by Matter.- 2.2.3 The Real Part of Susceptibility for the Single-Photon Resonance.- 2.2.4 The Real Part of Susceptibility for Two-Photon Absorption (TPA) and Stimulated Raman Scattering (SRS).- 2.2.5 The Real Part of Susceptibility Generated by Light Pulses.- 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.- 3.1.1 The Specific Features of the Relaxation of the System in a Strong Quasi-Resonant Field.- 3.1.2 The Equation of Population Motion.- 3.1.3 Equation of Population Dynamics for Two-Photon Processes.- 3.2 Amplitude Modulation for Exact Frequency Resonance, ? ? 0 (Exact Solutions).- 3.2.1 Equal Relaxation Times (T = ?).- 3.2.2 The Case of Unequal Relaxation Times (T ? ?).- 3.2.3 Relaxation in the Field of a Single Pulse for T ? ?, and Methods for Exact Solutions.- 3.3 Amplitude-Frequency Modulation of the Field (Exact Solutions).- 3.3.1 The Case of Equal Relaxation Times (T = ?).- 3.3.2 The Non-Equal Relaxation Times (T ? ?).- 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.- 4.1.1 Probability of Stimulated Multiphoton Transitions and Polarization of Freely Self-Orienting Systems.- 4.1.2 The Local Coherence of Parametric Interaction.- 4.1.3 Influence of the Doppler Effect on the Shape of the Absorption Line for Multiphoton Interactions.- 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.- 4.4.1 Relationships Between Direct and Mixed Susceptibilities.- 4.4.2 The Connection Between Susceptibilities ?, a and b.- 4.4.3 Potential Function for Susceptibilities.- 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 of Polarization 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.- 6.1.1 Addition and Doubling of Frequencies in a Medium with Identically Oriented Molecules.- 6.1.2 On Resonant Frequency Doubling in Vapors and Gases.- 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.- 6.4.1 Generation of Resonant Radiation During SRS in a Medium Consisting of Identically Oriented Molecules.- 6.4.2 Generation of the Difference Frequency During SRS in Gases.- 6.4.3 Generation of the Difference Frequency During SRS in the Presence of a Nonuniform Electrostatic Field.- 7. Four-Photon Resonant Parametric Interactions (RPI).- 7.1 Anti-Stokes Stimulated Raman Scattering.- 7.1.1 Specific Features of ASRS.- 7.1.2 Basic Equations.- 7.1.3 Spatial Distribution of the Anti-Stokes Component.- 7.1.4 Energy Characteristics of ASRS.- 7.1.5 The Experimental Analysis of Energy Characteristics.- 7.2 The Influence of Four-Photon RPIs on the Dynamics of the Stokes Components of SRS.- 7.2.1 Generation of the Stokes Components of SRS During Biharmonic Pumping.- 7.2.2 The Effect of Strong Pumping TPA on Weak Pumping SRS.- 7.2.3 Discussion of Experimental Results.- 7.3 Radiation Frequency Transformation in Four-Photon RPIs Based on Pumping Field TPA and SRS.- 7.3.1 Introductory Remarks and Basic Equations.- 7.3.2 Generation of the Difference Frequency During TPA.- 7.3.3 Generation of the Sum Frequency During TPA.- 7.3.4 The Effect of Wave Detuning.- 7.3.5 Transformation Length and Effect of Population Saturation.- 7.3.6 Four-Photon RPI’s Based on SRS of the Pumping Field.- 7.3.7 Generation of the Difference Frequency During SRS….- 7.3.8 Generation of the Sum Frequency During SRS.- 7.3.9 Discussion.- 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.- 8.1.1 The Equation for the Beam Radius.- 8.1.2 The Threshold for Weak Attenuation.- 8.1.3 The Threshold for Strong and Intermediate Attenuation.- 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.- 8.5.1 Formation of a Thin Lens in the Region of SRS-Transformation.- 8.5.2 The Threshold of SRS Self-Focussing and Self-Bending..- 8.6 Self-Action Effects at Nonlinear Interface.- 8.6.1 Nonlinear Properties of Interfaces.- 8.6.2 The Main Equations and Conditions.- 8.6.3 Effects at “Positive” Nonlinearity.- 8.6.4 Experiments on a Nonlinear Interface.- 8.6.5 Effects at “Negative” Nonlinearity Longitudinally Inhomogeneous Traveling Waves (LITW).- 8.6.6 Theorems of LITW Existence for Arbitrary Kinds of Nonlinearity.- 8.7 Optical Bistability Based on Mutual Self-Action of Counterpropagating Light Beams.- 8.7.1 Experimental Observation of Bistability Based on Self-Trapping.- 8.7.2 Mutual Self-Action of Counterpropagating Beams in the General Case.- References.

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