Explores the Fundamental Aspects of Nonlinear Optics
As nonlinear optics further develops as a field of research in electromagnetic wave propagation, its state-of-the-art technologies will continue to strongly impact real-world applications in a variety of fields useful to the practicing scientist and engineer. From basic principles to examples of applications, Nonlinear Optics: Principles and Applications effectively bridges physics and mathematics with relevant applied material for real-world use. The book progresses naturally from fundamental aspects to illustrative examples, and presents a strong theoretical foundation that equips the reader with enough knowledge to recognize, understand, and evaluate nonlinear optical phenomena.
Structured so that the first five chapters are dedicated to the description of the fundamental formalism of nonlinear optics, and the last five chapters are devoted to a description of practical devices based on nonlinear phenomena, it describes nonlinear wave propagation in bulk and in waveguiding structures, and includes specific examples of applied nonlinear wave propagation through crystals, optical waveguides, and optical fibers. Providing a theoretical description of nonlinear interaction between light and matter, this text focuses on the physical understanding of nonlinear optics, and explores optical material response functions in the time and frequency domain.
This pivotal work contains ten chapters and the main applications include:
- Optical signal processing: parametric amplification, modulators
- Transmission of optical signals: optical solitons, cross-phase modulation, four-wave mixing, phase conjugation, Raman scattering
- Sensing: temperature sensors, spectroscopy, and imaging
- Lasers: pulse compression and generation of super continuum
Nonlinear Optics: Principles and Applicationsdescribes the fundamental aspects of nonlinear optics and serves as a reference for nonlinear optics professionals as well as graduate students specializing in nonlinear optics.
Table of Contents
Review of linear optics
Harmonic oscillator model
Local field corrections
Estimated nonlinear response
Time-domain material response
The polarization time-response function
The Born-Oppenheimer approximation
Raman scattering response function of silica
Material response in the frequency domain, susceptibility tensors
The susceptibility tensor
The induced polarization in the frequency domain
Sum of monochromatic fields
The prefactor to the induced polarization
Third-order polarization in the Born-Oppenheimer approximation in the frequency domain
Symmetries in nonlinear optics
Third-order nonlinear materials
Contracted notation for second-order susceptibility tensors
The nonlinear wave equation
Mono and quasi-monochromatic beams
Plane waves - the transverse problem
Second-order nonlinear effects
Coupled wave theory
Phase mismatch and acceptance bandwidths
Non-degenerate parametric frequency conversion
Frequency conversion of focused Gaussian beams
Electro optic effects
Fundamental characteristics of silica
The Raman fiber amplifier
Coupled wave equations
Reduced SBS fibers
Optical Kerr effect
Short pulse propagation
Propagation of short pulses
Applications of solitons and short pulse propagation
Four wave mixing
Propagation equations - three frequencies
Spontaneous emission in four-wave mixing
B. Hamiltonian and polarization
C. Signal analysis
D. Generating matrices and susceptibility tensors
E. Transverse field distributions
F. The index ellipsoid
G. Materials commonly used in nonlinear optics
Karsten Rottwitt received his PhD in 1993 from the Technical University of Denmark (DTU) within propagation of solitons through optical fiber amplifiers. His Post doc was in collaboration with the femtosecond optics group, Imperial College London. From 1995 to 2000 Rottwitt continued at Bell Labs, AT&T and Lucent Technologies, New Jersey, USA. His research was directed toward Raman scattering in optical fibers. In 2000 Rottwitt moved back to Denmark where he is now at the department for photonics engineering, DTU. His research is concentrated on optical fiber nonlinearities including interactions among higher order modes, with applications within bio-photonics, sensing and communication.
Peter Tidemand-Lichtenberghas been working with novel light sources and detection systems for 20 years. He completed his PhD in 1996 from the Technical University of Denmark. After receiving his PhD, he spent six years in small start-up companies developing light sources for various industrial applications. In 2002 he returned to DTU to develop compact coherent light sources in the UV and visible spectral region. He has mainly focused on extending the spectral coverage toward the mid-IR region, and developing efficient light sources and low noise detection systems in the 2-12 µm range based on frequency mixing for the past five years.
"This book is a new reference for nonlinear optics professionals as well as graduate students specializing in nonlinear optics. It provides, in a comprehensive and organized manner, the essential mathematical formalisms and physical descriptions for understanding basic principles of nonlinear optics. The authors cover principles of linear optics and material response in the time and frequency domain, symmetries in nonlinear optics with special emphasis on second- and third-order nonlinear materials, and the nonlinear wave equation in waveguides. The first five chapters describe the fundamental formalism of nonlinear optics, whereas the last five chapters of the book discuss practical applications based on nonlinear phenomena. This publication has been supplemented with a few appendices, as well as a website with theoretical/numerical exercises, lecture slides, etc."
--Reva Garg, Institute of Physics, University of Brazil, from Optics & Photonics News, November 23, 2015
"This book provides the essential mathematical formalisms and physical descriptions necessary for the understanding of underlying principles of nonlinear optics, from nonlinear wave propagation in dielectric media to crystal optics, nonlinear optical processes, and devices. The book is suitable for a broad readership, from newcomers to nonlinear optics to those more intimately familiar with the topic who wish to further strengthen their knowledge and their formal mathematical foundations of nonlinear optics. The book uses classical mathematical formulation at a level suitable for students in the latter stages of their undergraduate Bachelors' studies who wish to become familiar with the subject area, or for more advanced graduate students pursuing Masters' degrees or in their early Ph.D programs preparing to embark on a research career in nonlinear optics. It is also suitable for researchers already active in the field of nonlinear optics who wish to strengthen their mathematical foundation of the subject. The book is well written, logically organized, and easy to follow, which helps the reader gain an in-depth understanding of nonlinear optical phenomena."
--Prof. Majid Ebrahim-Zadeh, ICFO-The Institute of Photonic Sciences, Barcelona, Spain
"This textbook is a welcome addition, as it provides a comprehensive and balanced treatment of nonlinear optics, covering both the underlying physics as well as important applications. Lucid explanations with contemporary relevance make it useful for science and engineering students, teachers, and researchers to get a thorough understanding of the subject. The authors provide a detailed exposition of the fundamental aspects of nonlinear optics that includes principles of linear optics and material response in the time and frequency domain, symmetries in nonlinear optics with special emphasis on second and third-order nonlinear materials, and the nonlinear wave equation in waveguides. The origin, modeling, and consequences of the important second- and third-order nonlinear optical effects with applications in frequency conversion, electro optic effect in crystals, Raman and Brillouin scattering in optical fibres, optical Kerr effect, and four wave mixing in parametric devices, has been presented effectively. The text has been well supplemented with illustrations and appendices to enhance the presentation."
--Prof. Sukhdev Roy, Dayalbagh Educational Institute, India