Nonlinear Optics Principles and Applications

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 Applications describes the fundamental aspects of nonlinear optics and serves as a reference for nonlinear optics professionals as well as graduate students specializing in nonlinear optics.

Introduction Review of linear optics Induced polarization Harmonic oscillator model Local field corrections Estimated nonlinear response Summary Time-domain material response The polarization time-response function The Born-Oppenheimer approximation Raman scattering response function of silica Summary 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 Kramers-Kronig relations Summary Symmetries in nonlinear optics Spatial symmetries Second-order materials Third-order nonlinear materials Cyclic coordinate-system Contracted notation for second-order susceptibility tensors Summary The nonlinear wave equation Mono and quasi-monochromatic beams Plane waves - the transverse problem Waveguides Vectorial approach Nonlinear birefringence Summary Second-order nonlinear effects General theory Coupled wave theory Phase mismatch and acceptance bandwidths Second-harmonic generation Non-degenerate parametric frequency conversion Difference-frequency generation Frequency conversion of focused Gaussian beams Electro optic effects Summary Raman scattering Physical description Amplitude equations Fundamental characteristics of silica The Raman fiber amplifier Summary Brillouin Scattering Introduction Electrostriction Coupled wave equations Threshold Reduced SBS fibers Applications Summary Optical Kerr effect Short pulse propagation Propagation of short pulses Pulse characterization Applications of solitons and short pulse propagation Summary Four wave mixing Physical description Propagation equations - three frequencies Spontaneous emission in four-wave mixing Amplifiers Other Applications Summary A. Tensors 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-Lichtenberg has 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.