**Author**: George C. Baldwin

**Publisher:** Springer

**ISBN:**

**Category:** Science

**Page:** 156

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## An Introduction to Nonlinear Optics

Many years spent in an industrial engineering laboratory have convinced me that there is ever-increasing need to present recent and current research in forms which can be easily assimilated by engineers, technical managers, and others concerned with applications and the development of new tech nology. There is a forbidding gap between the typical research paper, addressed by specialists to other specialists, and the popular-level account addressed to the layman. The second does not adequately prepare the engi neer for profitably studying the first; it does not impart sufficient depth of understanding to the manager who must make decisions on the relative merits of various approaches to a problem or on the potential contributions various specialists might make to his program. This book is the outgrowth of a review prepared to fill this need for engineers in a large corporation who were concerned with the industrial application of lasers. That review was written hurriedly, on a fixed budget, to a deadline; consequently, it contained oversimplifications and errors, not all of which were trivial. Nevertheless, the favorable response proved that such a review is indeed needed. It is hoped that this more finished work will prove useful to a wide variety of potential users of laser-centered devices and systems, and may even stimulate the generation of useful ideas.
## Introduction to Nonlinear Optics

Since the early days of nonlinear optics in the 1960s, the field has expanded dramatically, and is now a vast and vibrant field with countless technological applications. Providing a gentle introduction to the principles of the subject, this textbook is ideal for graduate students starting their research in this exciting area. After basic ideas have been outlined, the book offers a thorough analysis of second harmonic generation and related second-order processes, before moving on to third-order effects, the nonlinear optics of short optical pulses and coherent effects such as electromagnetically-induced transparency. A simplified treatment of high harmonic generation is presented at the end. More advanced topics, such as the linear and nonlinear optics of crystals, the tensor nature of the nonlinear coefficients and their quantum mechanical representation, are confined to specialist chapters so that readers can focus on basic principles before tackling these more difficult aspects of the subject.
## Extreme Nonlinear Optics

Following the birth of the laser in 1960, the field of "nonlinear optics" rapidly emerged. Today, laser intensities and pulse durations are readily available, for which the concepts and approximations of traditional nonlinear optics no longer apply. In this regime of "extreme nonlinear optics," a large variety of novel and unusual effects arise, for example frequency doubling in inversion symmetric materials or high-harmonic generation in gases, which can lead to attosecond electromagnetic pulses or pulse trains. Other examples of "extreme nonlinear optics" cover diverse areas such as solid-state physics, atomic physics, relativistic free electrons in a vacuum and even the vacuum itself. This book starts with an introduction to the field based primarily on extensions of two famous textbook examples, namely the Lorentz oscillator model and the Drude model. Here the level of sophistication should be accessible to any undergraduate physics student. Many graphical illustrations and examples are given. The following chapters gradually guide the student towards the current "state of the art" and provide a comprehensive overview of the field. Every chapter is accompanied by exercises to deepen the reader's understanding of important topics, with detailed solutions at the end of the book.
## Nonlinear Optics

Nonlinear Optics, Fourth Edition, is a tutorial-based introduction to nonlinear optics that is suitable for graduate-level courses in electrical and electronic engineering, and for electronic and computer engineering departments, physics departments, and as a reference for industry practitioners of nonlinear optics. It will appeal to a wide audience of optics, physics and electrical and electronic engineering students, as well as practitioners in related fields, such as materials science and chemistry. Presents an introduction to the entire field of optical physics from the perspective of nonlinear optics Combines first-rate pedagogy with a treatment of the fundamental aspects of nonlinear optics Covers all the latest topics and technology in this ever-evolving industry Contains a strong emphasis on fundamentals
## Introduction to Nonlinear Optics

A gentle introduction to the principles of nonlinear optics, this textbook is ideal for graduate students starting research.
## Nonlinear Optics

Intended for readers with a background in classical electromagnetic theory, this book develops the basic principles that underlie nonlinear optical phenomena in matter. It begins with a discussion of linear wave propagation in dispersive media, moves into weak nonlinearities which can be discussed in a pertuberative manner, then it examines strong nonlinear effects (solitons, chaos). The emphasis is on the macroscopic description on nonlinear phenomena, within a semiclassical framework. Two new chapters cover surface optics and magneto-optic phenomena. The book is aimed at the student or researcher who is not a specialist in optics but needs an introduction to the principal concepts.
## Second-order Nonlinear Optical Characterization Techniques

Although chemists, biochemists, biologists, and material scientists are often interested in using nonlinear optical techniques for characterizing their samples, they seldom have the necessary background to exploit these methods. Designed for nonspecialists, Second-Order Nonlinear Optical Characterization Techniques: An Introduction focuses on the potential of second-order nonlinear optics as a powerful characterization tool. Avoiding extensive mathematical details, this multidisciplinary book does not require a background in advanced mathematics or physics. After introducing linear optics from the perspective of polarizability and linear susceptibility, the authors cover incoherent second-harmonic generation. They then deal with the study of surfaces and interfaces, exploiting the intrinsic surface sensitivity of second-harmonic generation and sum-frequency generation. The final chapter discusses second-order imaging techniques, including confocal microscopy and two-photon excited fluorescence microscopy. Accessible to a wide range of scientists, this concise book stresses the reliability of nonlinear optical processes for probing surfaces and interfaces. Drawing on the insight offered in the text, scientists from many disciplines can now clearly understand and use second-order nonlinear optical methods.
## Introduction to Nonlinear Optical Effects in Molecules and Polymers

Molecular Dynamics in Restricted Geometries Edited by Joseph Klafter and J. M. Drake This investigation of the chemistry and physics of complex systems focuses on the role of spatial restrictions on molecular movement. A practical source-book for researchers in chemical physics, chemical engineering, and condensed matter physics, and for graduate students in these fields, it covers a broad range of topics and critically evaluates methods as they are employed. Among the many topics it covers are: relaxation and diffusion in restricted geometries, excitation energy transfer and photoinduced electron transfer phenomena in some confined systems, electron excitation transport in micelles, polymers and multilayers, and electron excitation transport on polymer chains. 1989 (0 471-60176-4) 437 pp.
## Photons Nonlinear Optics

This book provides an introduction to quantum optics for experimental physicists and for college students who have studied quantum mechanics. Its distinguishing feature is its emphasis on multimode fields with correlating different-frequency modes, notably on their phenomenological description and on the practical methods of generating them. The phenomena described in this book provide an opportunity to study nonrelativistic quantum electrodynamics and to master many important concepts of theoretical physics.
## Applied Nonlinear Optics

Directed toward physicists and engineers interested in the device applications enabled by nonlinear optics, this text is suitable for advanced undergraduates and graduate students. Its content is presented entirely on a classical basis and requires only an elementary knowledge of quantum mechanics. The authors demonstrate how real laboratory situations can diverge from ideal theory, acquainting readers with the kinds of problems common to construction of a nonlinear device. They also offer a detailed discussion of the practical problems and characteristics of nonlinear materials, as well as the selection procedures necessary to ensure the use of good material. Their treatment begins with an introduction to the theories of linear and nonlinear optics, along with the basic ideas behind them. Succeeding chapters explore phase matching and nonlinear materials, followed by detailed treatments of second-harmonic generation, parametric up-conversion, and optical parametric amplification and oscillation. Appendixes offer a comprehensive list of materials and their properties; the text concludes with references and an index.
## An Introduction to Nonlinear Optics [by] George C. Baldwin

## Introduction to Photorefractive Nonlinear Optics

"In a progressive format that moves from the elementary to the complex, the book begins with the basics of electromagnetic waves and periodic structures, examining the physics of photorefractive effects and the mixing of waves in these media. Classical electrodynamics is used to describe the mixing of waves in photorefractive media. Concepts in elementary solid state physics are also used to clarify the discussion on the transport of charges in photorefractive crystals. Following chapters take an in-depth look at optical phase conjugators and photorefractive resonators. The fundamental principles of gratings and holograms are examined in chapters 7 and 8. The manifold applications in optical information processing, optical interconnection, and neural networks are clearly detailed in the following three chapters. The last chapter is devoted to a timely look at the higher order photorefractive effect in optical fibers.".
## An Introduction to Nonlinear Optics

Many years spent in an industrial engineering laboratory have convinced me that there is ever-increasing need to present recent and current research in forms which can be easily assimilated by engineers, technical managers, and others concerned with applications and the development of new tech nology. There is a forbidding gap between the typical research paper, addressed by specialists to other specialists, and the popular-level account addressed to the layman. The second does not adequately prepare the engi neer for profitably studying the first; it does not impart sufficient depth of understanding to the manager who must make decisions on the relative merits of various approaches to a problem or on the potential contributions various specialists might make to his program. This book is the outgrowth of a review prepared to fill this need for engineers in a large corporation who were concerned with the industrial application of lasers. That review was written hurriedly, on a fixed budget, to a deadline; consequently, it contained oversimplifications and errors, not all of which were trivial. Nevertheless, the favorable response proved that such a review is indeed needed. It is hoped that this more finished work will prove useful to a wide variety of potential users of laser-centered devices and systems, and may even stimulate the generation of useful ideas.
## Nonlinear Optics

The first complete guide to nonlinear theory and practice for engineers Nonlinear Optics is a highly accessible, applications-oriented introduction to a new and rapidly growing field. An indispensable resource for both electrical engineering students and professionals working in the telecommunications and optoelectronics industry, it: * Treats the subject of nonlinear optics in purely classical terms for electrical engineers * Offers numerous real-world examples clearly demonstrating the connection between theory and practical application * Features helpful chapter-end problems and numerous examples * Explores current and future applications of nonlinear optics in telecommunications, computers, and other fields Due to its many applications in fiber-optic communications and optoelectronics the propagation of light through nonlinear media is an increasingly important topic among electrical engineers. Unfortunately, books geared to the specific concerns of electrical engineering students and professionals in the telecommunications and optoelectronics industry continue to be in short supply. This book is designed to fill that gap. Nonlinear Optics is a complete, self-contained, applications-oriented introduction to the field. In an effort to make this book as accessible as possible to its intended audience, E. G. Sauter has foregone quantum mechanical descriptions, choosing instead to treat the subject of nonlinear optics in purely classical terms. He has also included numerous real-world examples that clearly demonstrate the connection between theory and practical application. The book begins with the theoretical foundations for the practical discussions that follow. Dr. Sauter treats the basic relations between polarization and electric field strength, the different nonlinear effects of polarizations of order two and three, wave propagation of complex phasors in nonlinear media and anisotropic media, and the conservation of energy and momentum in nonlinear processes. Over the six chapters that follow, these theories are applied to specific cases, including the linear electrooptic effects; second harmonic generation; parametric effects; four-wave mixing, including the Raman and Brillouin effects; and the optical Kerr effect. The remaining chapters present in-depth discussions of pulse propagation, solitons, and nonlinear effects in glass fibers. Helpful problems appear at the end of each chapter, and numerous worked and unworked examples are scattered throughout the text to elucidate principles and clarify complex material. A highly accessible, applications-oriented introduction to a new and rapidly growing field, Nonlinear Optics is an indispensable resource for both electrical engineering students and working professionals.
## Introduction to Nonlinear Optics

Since the early days of nonlinear optics in the 1960s, the field has expanded dramatically, and is now a vast and vibrant field with countless technological applications. Providing a gentle introduction to the principles of the subject, this textbook is ideal for graduate students starting their research in this exciting area. After basic ideas have been outlined, the book offers a thorough analysis of second harmonic generation and related second-order processes, before moving on to third-order effects, the nonlinear optics of short optical pulses and coherent effects such as electromagnetically-induced transparency. A simplified treatment of high harmonic generation is presented at the end. More advanced topics, such as the linear and nonlinear optics of crystals, the tensor nature of the nonlinear coefficients and their quantum mechanical representation, are confined to specialist chapters so that readers can focus on basic principles before tackling these more difficult aspects of the subject.
## Nonlinear Fiber Optics

Machine generated contents note: ch. 1 Introduction -- 1.1.Historical Perspective -- 1.2.Fiber Characteristics -- 1.2.1.Material and Fabrication -- 1.2.2.Fiber Losses -- 1.2.3.Chromatic Dispersion -- 1.2.4.Polarization-Mode Dispersion -- 1.3.Fiber Nonlinearities -- 1.3.1.Nonlinear Refraction -- 1.3.2.Stimulated Inelastic Scattering -- 1.3.3.Importance of Nonlinear Effects -- 1.4.Overview -- Problems -- References -- ch. 2 Pulse Propagation in Fibers -- 2.1.Maxwell's Equations -- 2.2.Fiber Modes -- 2.2.1.Eigenvalue Equation -- 2.2.2.Single-Mode Condition -- 2.2.3.Characteristics of the Fundamental Mode -- 2.3.Pulse-Propagation Equation -- 2.3.1.Nonlinear Pulse Propagation -- 2.3.2.Higher-Order Nonlinear Effects -- 2.3.3.Raman Response Function and its Impact -- 2.3.4.Extension to Multimode Fibers -- 2.4.Numerical Methods -- 2.4.1.Split-Step Fourier Method -- 2.4.2.Finite-Difference Methods -- Problems -- References -- ch. 3 Group-Velocity DispersionNote continued: 3.1.Different Propagat ...
## Fundamentals of Nonlinear Optics

Praise for the 1st Edition: "well written and up to date.... The problem sets at the end of each chapter reinforce and enhance the material presented, and may give students confidence in handling real-world problems." ―Optics & Photonics News "rigorous but simple description of a difficult field keeps the reader’s attention throughout.... serves perfectly for an introductory-level course." ―Physics Today This fully revised introduction enables the reader to understand and use the basic principles related to many phenomena in nonlinear optics and provides the mathematical tools necessary to solve application-relevant problems. The book is a pedagogical guide aimed at a diverse audience including engineers, physicists, and chemists who want a tiered approach to understanding nonlinear optics. The material is augmented by numerous problems, with many requiring the reader to perform real-world calculations for a range of fields, from optical communications to remote sensing and quantum information. Analytical solutions of equations are covered in detail and numerical approaches to solving problems are explained and demonstrated. The second edition expands the earlier treatment and includes: A new chapter on quantum nonlinear optics. Thorough treatment of parametric optical processes covering birefringence, tolerances and beam optimization to design and build high conversion efficiency devices. Treatment of numerical methods to solving sets of complex nonlinear equations. Many problems in each chapter to challenge reader comprehension. Extended treatment of four-wave mixing and solitons. Coverage of ultrafast pulse propagation including walk-off effects.
## Nonlinear Optical and Atomic Systems

Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current research on the subject, which is an extremely active field in physics and mathematical physics, with a very broad range of implications, both for fundamental science and technological applications: light propagation in microstructured optical fibers, Bose-Einstein condensates, disordered systems, and the newly emerging field of nonlinear quantum mechanics. Accessible to PhD students, this book will also be of interest to post-doctoral researchers and seasoned academics.

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