Kategoria BISAC: Science >> Waves & Wave Mechanics

The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis covery in 1967and subsequent development ofthe inversescattering transform method that...

''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and...

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in...

Since Einstein's time, a "theory of everything" -- one coherent mathematical model that would encompass all the forces and particles of nature -- has become the Holy Grail of physics, and its pursuit has resulted in some of the most extraordinary ideas in the history of science.
This invaluable primer at last enables all of us to understand these ideas. John Gribbin provides a brief, succinct, accessible overview of the hundred-year saga of particle physics, explaining everything from the basics (how subatomic particles work) to the cutting-edge research that has produced dazzling new...

Optoelectronic devices are currently being developed at an extraordinary rate. Organic light-emitting diodes, photovoltaic devices and electro-optical modulators are pivotal to the future of displays, photosensors and solar cells, and communication technologies. This book details the theories underlying the mechanisms involved in the relevant organic materials and covers, at a basic level, how the organic components are made.

The first part of the book introduces the fundamental theories used to describe ordered solids and goes onto detail on concepts applicable to localised energy...

During the past ten years, there has been intensive development intheoretical and experimental research of solitons in periodic media. Thisbook provides a unique and informative account of the state-of-the-art inthe field. The volume opens with a review of the existence of robustsolitary pulses in systems built as a periodic concatenation of verydifferent elements. Among the most famous examples of this type ofsystems are the dispersion management in fiber-optictelecommunication links, and (more recently) photonic crystals.

Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained and pedagogical, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only a useful tool for classroom teaching, but also for individual study. Intended primarily for graduate students and researchers in theoretical high...

Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields.

This book is devoted to the study of the acoustic wave equation and of the Maxwell system, the two most common wave equations encountered in physics or in engineering. The main goal is to present a detailed analysis of their mathematical and physical properties. Wave equations are time dependent. However, use of the Fourier trans- form reduces their study to that of harmonic systems: the harmonic Helmholtz equation, in the case of the acoustic equation, or the har- monic Maxwell system. This book concentrates on the study of these harmonic problems, which are a first step toward the study of...

There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are...

Microcontinuum Field Theories constitutes an extension of classical field theories - of elastic solids, viscous fluids, electromagnetism, and the like - to microscopic length and time scales. Material bodies are viewed as collections of a large number of deformable particles (sub-continua), suitable for modeling blood, porous media, polymers, liquid crystals, slurries, and composite materials. This volume extends and applies the ideas developed in the first volume, Microcontinuum Field Theories: Foundations and Solids, to liquid crystals, biological fluids, and other microstretch and...

Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves. The description of a homogeneous plane wave generally involves a vector (the unit vector along the propagation direction) and a bivbector (the complex amplitude of the wave). Inhomogeneous plane waves are described in terms of two bivectors - the complex amplitude and the complex slowness. The use of bivectors and their associated ellipses is essential for the presentation of the 'directional ellipse' method given in this book, in deriving all possible inhomogeneous plane wave...

The main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics.
This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role...

All integrated optical components and devices make use of "waveguides," where light is confined by total internal reflection. The elements in such "photonic chip" are interconnected through waveguides, and also the integrated optics components themselves are fabricated using waveguide configuration, such as couplers, switches, modulators, multiplexors, amplifiers and lasers, etc. These components are integrated in a single substrate, thus resulting in a compact and robust photonic device, which can be optically connected through optical fibres.
With and increase in the number of...

In the last fifty years, extensive studies have been carried out worldwide in the field of adaptive array systems. However, far from being a mature technology with little research left to tackle, there is seemingly unlimited scope to develop the fundamental characteristics and applications of adaptive antennas for future 3G and 4G mobile communications systems, ultra wideband wireless and satellite and navigation systems, and this informative text shows you how

• Provides an accessible resource on adaptive array fundamentals as well as coverage of adaptive algorithms and advanced...

The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics

Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations.

The topics covered in this monograph include:

• Spheroidal coordinates and wave functions
  
• Dyadic Green's functions in spheroidal systems
  
• EM...

How is light amplified in the doped fiber? How much spontaneous emission noise is generated at the output? Do detectors with optical preamplifiers outperform avalanche photodiodes? What are the current types and architectures of amplifier-based systems?

Erbium-Doped Fiber Amplifiers: Principles and Applications

These are just a handful of the essential questions answered in Erbium-Doped Fiber Amplifiers--the first book to integrate the most influential current papers on this breakthrough in fiber-optics technology. Written by one of the pioneers in the field,...

This book presents the interdisciplinary field of solid electrodynamics and its applications in superconductor and microwave technologies. It gives scientists and engineers the foundation necessary to deal with theoretical and applied electromagnetics, continuum mechanics, applied superconductivity, high-speed electronic circuit design, microwave engineering and transducer technology.

"The book is an indispensable reference for researchers, development engineers, and system designers in fiber-optic communications. . . . It will excel as an introductory text in upper-level undergraduate and graduate courses on system applications of fiber optics." --Optik

"One of the most comprehensive and detailed accounts of the physics and fundamental principles of erbium-doped fiber amplifiers. . . . I do not hesitate to recommend the book enthusiastically to anyone having an interest in EDFAs and their applications." --Physics Today

Erbium-doped fiber...