| Description |
1 online resource (xi, 303 pages) : illustrations (chiefly color) |
| Series |
Springer series in optical sciences ; volume 249 |
|
Springer series in optical sciences ; v. 249.
|
| Contents |
Intro -- Preface -- Acknowledgments -- Contents -- Part I: The Rayleigh Scattering -- Chapter 1: Introduction -- References -- Chapter 2: Exactly Solvable Problems of Atom Interaction with External Electromagnetic Field -- 2.1 The Schrödinger and Heisenberg Pictures for Description of Quantum Systems -- 2.2 Hamiltonian of a Two-Level System -- 2.3 The Hamiltonian of the Two-Level System Interaction with External Electromagnetic Field -- 2.4 The Rabi Cycle in the Heisenberg Picture -- 2.5 The Interaction of a Two-Level System with a Single Mode of Quantized Field (The Jaynes-Cummings Approach) |
|
2.5.1 Quantization of Electromagnetic Fields -- 2.5.2 Eigenfunctions of the Jaynes-Cummings Problem -- 2.6 The Bloch Vector Formalism Based on Floquetś Theorem -- References -- Chapter 3: Open Quantum Systems -- 3.1 Spontaneous Radiation of a Two-Level System: Weisskopf-Wigner Approach -- 3.2 Application of the Lindblad Equation for Radiation Problem -- 3.2.1 The Density Matrix: von Neumann Equation -- 3.2.2 Derivation of the Lindblad Equation for the Density Matrix of an Open System -- 3.2.3 Lindblad Master Equation as a System of the Rate Equations |
|
3.2.4 Transverse and Longitudinal Decay Times at Spontaneous Emission of an Excited Atom into the Reservoir of Free Space Modes -- 3.2.5 Calculation of the Correlator -- 3.3 Fermiś Golden Rule -- 3.4 Heisenberg-Langevin Equations -- 3.4.1 Heisenberg Picture of Dynamics of Two-Level System Driven by External Field -- 3.4.2 The Radiation Spectrum of Driven Two-Level System in the Heisenberg Picture -- References -- Chapter 4: Coherent Light -- References -- Chapter 5: Semi-Classical Description of Rayleigh Light Scattering -- 5.1 The Mollow Triplet -- 5.2 Beyond the Mollow Approximation |
|
5.2.1 The Resonant Case with Dephasing -- 5.2.2 The Off-Resonant Case with Dephasing -- References -- Chapter 6: Quantum Description of Rayleigh Scattering of Quantized Electromagnetic Field -- 6.1 The Lindblad Equation for Rayleigh Scattering -- 6.2 Rayleigh Scattering of Quantized Fields: Various Problem Statements -- 6.2.1 Single-Photon Scattering: The Berestetskii-Lifshitz-Pitaevskii Formulation -- 6.2.2 Placzekś Approach -- 6.2.3 Coherent State of the Jaynes-Cummings Modes: Coherent Rayleigh Scattering -- References -- Chapter 7: Summary of Part I -- References |
|
Chapter 8: Problems for Part I -- Part II: The Raman Effect -- Chapter 9: Introduction -- References -- Chapter 10: The Hamiltonian of the Interaction Between Electronic and Nuclear Subsystems of a Molecule -- References -- Chapter 11: Spontaneous Raman Scattering -- References -- Chapter 12: Surface-Enhanced Raman Scattering (SERS) -- 12.1 Quantum Nanoplasmonics -- 12.2 Enhancement of the Radiated Field Intensity Due to the Purcell Effect -- 12.3 Description of SERS by Heisenberg-Langevin Equations -- References -- Chapter 13: The Progress in Study of the Raman Effect After the Laser Invention |
| Summary |
This book presents a quantum framework for understanding inelastic light scattering which is consistent with the classical descriptions of Raman phenomena and Rayleigh scattering, thus creating a unified theoretical picture of light scattering. The Raman effect was discovered in 1928 and has since proved to be one of the most powerful tools to study the molecular structure of gases, liquids, and crystals. The subsequent development of new scientific disciplines such as nonlinear optics, quantum optics, plasmonics, metamaterials, and the theory of open quantum systems has changed our views on the nature of Rayleigh and Raman scattering. Today, there are many excellent books on the theory and applications of light scattering, but a consistent description of light scattering from a unified viewpoint is missing. The authors approach has the power to re-derive the results of both classical and quantum approaches while also addressing many questions that are scattered across the research literature: Why is Rayleigh scattering coherent while Raman scattering is not, although both phenomena are caused by the incidence of a coherent wave? Why are coherent Stokes and coherent anti-Stokes Raman scattering caused by two coherent incident waves both always coherent? This book answers these questions and more, and explains state-of-the-art experimental results with a first-principles approach that avoids phenomenological arguments. Many of the results presented are appearing in book form for the first time, making this book especially useful for young researchers entering the field. The book reviews basic concepts of quantum mechanics and quantum optics and comes equipped with problems and solutions to develop understanding of the key mathematical techniques. The rigorous approach presented in the book is elegant and readily grasped, and will therefore prove useful to both theorists and experimentalists at the graduate level and above, as well as engineers who use Raman scattering methods in their work |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed June 17, 2024) |
| Subject |
Raman effect.
|
|
Rayleigh scattering.
|
|
Quantum optics.
|
| Form |
Electronic book
|
| Author |
Andrianov, Evgeny S., author
|
|
Vinogradov, Alexey P., author.
|
|
Shishkov, Vladislav Yu, author
|
| ISBN |
9783031566387 |
|
3031566386 |
|
