Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.

For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities. This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.

Ball lightning is an enigma. These luminous objects that appear occasionally during thunderstorms and can reach several meters in diameter have been a mystery to science for about 200 years. Despite several thousands of reported observations, their nature is still unknown. In this book, well documented cases of ball lightning are described and used to unravel some aspects of this mysterious form of atmospheric electricity. Throughout the book, the author discusses the various facets of the problem in an accessible but rigorous style, delivering a readable and informative text that will captivate the curious reader. He finally reaches the surprising conclusion that the solution to this puzzle may have been hidden in plain sight for many years. A foreword by Earle Williams, leading lightning researcher at MIT, introduces the book.

Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.

Addressing classical material as well as new perspectives, Instabilities of Flows and Transition to Turbulence presents a concise, up-to-date treatment of theory and applications of viscous flow instability. It covers materials from classical instability to contemporary research areas including bluff body flow instability, mixed convection flows, and application areas of aerospace and other branches of engineering. Transforms and perturbation techniques are used to link linear instability with receptivity of flows, as developed by the author. The book: Provides complete coverage of transition concepts, including receptivity and flow instability Introduces linear receptivity using bi-lateral Fourier-Laplace transform techniques Presents natural laminar flow (NLF) airfoil analysis and design as a practical application of classical and bypass transition Distinguishes strictly between instability and receptivity, which leads to identification of wall- and free stream-modes Describes energy-based receptivity theory for the description of bypass transitions Instabilities of Flows and Transition to Turbulence has evolved into an account of the personal research interests of the author over the years. A conscious effort has been made to keep the treatment at an elementary level requiring rudimentary knowledge of calculus, the Fourier-Laplace transform, and complex analysis. The book is equally amenable to undergraduate students, as well as researchers in the field.

Written at the graduate level, Generation and Application of High Power Microwaves discusses the basic physics of the generation of microwave and radiofrequency waves in the megawatt power range and the application of these ideas to a range of devices such as klystrons, gyrotrons, and free electron lasers. The book also contains chapters covering the transmission of the power through waveguides and the problems associated with mode conversion in transmission lines. The main application area covered is the heating and current drive in tokamaks and other devices for research into controlled nuclear fusion. Other applications of high power microwave technology are not neglected, and among those discussed are multiple charged ion and soft x-ray sources, electron spin resonance spectroscopy, advanced materials processing, millimeter wave radar, and supercolliders.

'This book is an important contribution, and I hope it will open many minds. What is particularly important in it are the discussions of David Bohm, of bioplasma, biophotons, and bioelectronics.' - PROFESSOR ZBIGNIEW WOLKOWSKI, Sorbonne University, Paris "Answers so many questions, scientific and esoteric, about the true nature of our reality... A seminal work... Will revolutionise how we frame reality and the thinking of everyone on this planet. Kudos to Professor Temple for striking the first match to light the fire." - NEW DAWN The story of the science of plasma and its revolutionary implications for the way we understand the universe and our place in it. Histories of science in the 20th century have focused on relativity and quantum mechanics. But, quietly in the background, there has been a third area of exploration which has equally important implications for our understanding of the universe. It is unknown to the general public despite the fact that many Nobel prize winners, senior academics and major research centres around the world have been devoted to it - it is the study of plasma Plasma is the fourth state of matter and the other three - gas, liquid and solids - emerge out of plasma. This book will reveal how over 99% of the universe is made of plasma and how there are two gigantic clouds of plasma, called the Kordylewski Clouds, hovering between the Earth and the Moon, only recently discovered by astronomers in Hungary. Other revelations not previously known outside narrow academic disciplines include the evidence that in certain circumstances plasma exhibits features that suggest they may be in some sense alive: clouds of plasma have evolved double helixes, banks of cells and crystals, filaments and junctions which could control the flow of electric currents, thus generating an intelligence similar to machine intelligence. We may, in fact, have been looking for signs of extra-terrestrial life in the wrong place. Bestselling author Robert Temple has been following the study of plasma for decades and was personally acquainted with several of the senior scientists - including Nobel laureates - at its forefront, including Paul Dirac, David Bohm, Peter Mitchell and Chandra Wickramasinghe (who has co-written an academic paper with Temple).

- written by world leading experts in the field - contains many worked-out examples, taken from daily life fire related practical problems - covers the entire range from basics up to state-of-the-art computer simulations of fire and smoke related fluid mechanics aspects, including the effect of water - provides extensive treatment of the interaction of water sprays with a fire-driven flow - contains a chapter on CFD (Computational Fluid Dynamics), the increasingly popular calculation method in the field of fire safety science

Acknowledged as the "founding father" of and world renowned expert on electron cyclotron resonance sources Richard Geller has produced a unique book devoted to the physics and technicalities of electron cyclotron resonance sources. Electron Cyclotron Resonance Ion Sources and ECR Plasmas provides a primer on electron cyclotron phenomena in ion sources as well as being a reference to the field of ion source developments. Coverage includes elements of plasma physics, specific electron cyclotron resonance physics, and the relevant technology directed at both scientists and engineers.

The Handbook of Ion Sources delivers the data needed for daily work with ion sources. It also gives information for the selection of a suitable ion source and ion production method for a specific application.
The Handbook concentrates on practical aspects and introduces the principle function of ion sources. The basic plasma parameters are defined and discussed. The working principles of various ion sources are explained, and examples of each type of ion source are presented with their operational data. Tables of ion current for various elements and charge states summarize the performance of different ion sources.
The problems related to the production of ions of non-gaseous elements are detailed, and data on useful materials for evaporation and ion source construction are summarized. Additional chapters are dedicated to extraction and beam formation, ion beam diagnosis, ion source electronics, and computer codes for extraction, acceleration, and beam transport. Emittance and brilliance are described and space charge effects and neutralization discussed. Various methods for the measurement of current, profile, emittance, and time structure are presented and compared. Intensity limits for these methods are provided for different ion energies.
Typical problems related to the operation of ion source plasmas are discussed and practical examples of circuits are given. The influence of high voltage on ion source electronics and possibilities for circuit protection are covered. The generation of microwaves and various microwave equipment are described and special problems related to microwave operation are summarized.
The Handbook of Ion Sources is a valuable reference on the subject, of benefit to practitioners and graduate students interested in accelerators, ion implantation, and ion beam techniques.

This book is the first to present flow measurement as an independent branch of the measurement techniques, according to a new global and unitary approach for the measurement of fluid flow field, starting from finding its unitary fundamental bases. Furthermore, it elaborates the method of unitary analysis/synthesis and classification of compound gauging structures (CGS): the UASC - CGS method. These methods ensure, in a systematic and predictable way, both the analysis of the types of flow meters made until present (i.e. CGS) and the synthesis of new types of flowmeters. The book outlines new contributions in this field, including separately, for flow meters, and CGS: structural schemes and their unitary, unitary classification, unitary logical matrix, method of unitary analysis/synthesis and classification.

This book will provide the necessary theoretical background and a description of plasma-related devices and processes that are used industrially for physicists and engineers. It is a self-contained introduction to the principles of plasma engineering with comprehensive references. This volume also includes the terminology, jargon and acronyms used in the field of industrial plasma engineering - indexed when they first appear in the text - along with their definitions and a discussion of their meaning. It is aimed at assisting the student in learning key terminology and concepts, and providing the in-service engineer or scientist with a technical glossary. An extensive index and appendices enhance the value of this book as a key reference source. These incorporate a list of the nomenclature used in mathematical expressions in the text, physical constants, and often-used plasma formulae. SI units are used throughout. Intended for students from all engineering and physical science disciplines, and as a reference source by in-service engineers. Coverage: * basic information on plasma physics and the physical processes important in industrial plasmas * sources of ion and electron beams and ionizing radiation used in industrial applications * physics and technology of DC and RF electrical discharges.

Recent research has brought the application of microwaves from the classical fields of heating, communication, and generation of plasma discharges into the generation of compact plasmas that can be used for applications such as FIB and small plasma thrusters. However, these new applications bring with them a new set of challenges. With coverage ranging from the basics to new and emerging applications, Compact Plasma and Focused Ion Beams discusses how compact high-density microwave plasmas with dimensions smaller than the geometrical cutoff dimension can be generated and utilized for providing focused ion beams of various elements. Starting with the fundamentals of the cutoff problem for wave propagation in waveguides and plasma diagnostics, the author goes on to explain in detail the plasma production by microwaves in a compact geometry and narrow tubes. He then thoroughly discusses wave interaction with bounded plasmas and provides a deeper understanding of the physics. The book concludes with an up-to-date account of recent research on pulsed microwaves and the application of compact microwave plasmas for multi-element FIB. It provides a consolidated and unified description of the emerging areas in plasma science and technology utilizing wave-based plasma sources based on the author's own work and experience. The book will be useful not only to established researchers in this area but will also serve as an excellent introduction to those interested in applying these ideas to various current and new applications.

Breaking down the complicated concepts of speed, acceleration, torque, fluid mechanics, and surface physics, Physics of Sailing provides a lively, easily accessible introduction to the basic science underlying the sport of sailing. It illustrates the many ways physics can be used to understand the principles of sailboat propulsion and how a scientific understanding of the boat, wind, and water can lead to more skillful sailing. After a brief but insightful tour of the history of sailing, the book explores the physics involved in making faster sailing crafts for both upwind and downwind sailing, including Newton's impact theory of fluid resistance and lift and drag phenomena. It compares possible sail shapes, presents measurements of hull smoothness, and describes wind turbulence, the nature of water waves, and the structure of wakes. Using the physics of optics, the author also explains the connection between water's appearance and the wind. Along with a glossary of sailing terms, he includes many examples throughout to illustrate the concepts in practice. Avoiding unnecessary formalisms, this book skillfully applies the principles of fluid mechanics to sailboat technology and the art of sailing. It should help you become a more knowledgeable sailor.

Wavelets as a Powerful Signal Processing Tool The principles of wavelets can be applied to a range of problems in civil engineering structures, such as earthquake-induced vibration analysis, bridge vibrations, and damage identification. This book is particularly useful for graduate students and researchers in vibration analysis, especially those dealing with random vibrations. Wavelet Analysis in Civil Engineering explains the importance of wavelets in analyzing nonstationarities in ground motions. The example of a tank is considered to develop the problem and the model (based on linear assumptions) and several case studies are explored-fixed base, flexible base, lateral and rocking motions of foundations, with and without fluid-to explain how to account for ground motion nonstationarities. Bridge vibrations caused by vehicle passage are explored, as is structural damage identification. Wavelet analytic techniques starting from single degree of freedom systems to multiple degree of freedom systems are set out and detailed solutions of more complicated problems involving soil and fluid interactions are presented. Separate chapters have been devoted to explaining the basic principles of the wavelet-based random nonstationary vibration analysis of nonlinear systems, including probabilistic analysis. Comprised of seven chapters, this text: Introduces the concept and utility of wavelet transform Describes the discretization of ground motions using wavelet coefficients Explains how to characterize nonstationary ground motions using statistical functionals of wavelet coefficients of seismic accelerations Develops the formulation of a linear single-degree-of-freedom system Shows stepwise development of the formulation of a structure idealized as a linear multi-degree-of-freedom system in terms of wavelet coefficients Defines wavelet domain formulation of a nonlinear single-degree-of-freedom system Introduces the concept of probability in wavelet-based theoretical formulation of a nonlinear two-degree-of-freedom system Covers a variety of case studies highlighting diverse applications Wavelet Analysis in Civil Engineering explains the importance of wavelets in terms of non-stationarities of ground motions, explores the application of wavelet analytic techniques, and is an excellentresource for users addressing wavelets for the first time.

This book offers unique coverage of the mechanical properties of nano- and micro-dispersed magnetic fluids. Magnetic fluids are artificially created materials that do not exist in the nature. Researchers developing materials and devices are keenly interested in their "mutually exclusive" properties including fluidity, compressibility, and the ability to magnetize up to saturation in relatively small magnetic fields. Applications of micro- and nanodispersed magnetic fluids include magnetic-seals, magnetically operated grease in friction units and supports, separators of non-magnetic materials, oil skimmers and separators, sensors of acceleration and angle, and gap fillers in loudspeakers.

Physics of Intense Beams in Plasmas is a comprehensive description of the interaction between extremely intense particle beams and plasmas. The emphasis is on experimental beam-plasma physics, but the necessary theory is also explained-much of which is innovative and original. Central to the book is the discussion of beam instabilities, emphasizing their hydrodynamic nature.

This book is a collection of the works of leading experts worldwide in the rapidly developing fields of plasmonics and metamaterials. These developments are promising to revolutionize ways of generating, controlling and processing light in the nanoscale. The technological applications range from nano-lasers to optical nano-waveguides to artificial media with unusual and exotic optical properties unattainable in natural materials. The volume cuts across all relevant disciplines and covers experiments, measurements, fabrication, physical and mathematical analysis, as well as computer simulation.

Electromagnetic Instabilities in an Inhomogeneous Plasma presents a comprehensive survey of the theory of electromagnetic instabilities in a magnetized inhomogeneous plasma, mainly in the classical approximation of straight and parallel magnetic field lines as well as magnetic-field curvature effects. Using his expertise and experience, the author skillfully guides the reader through the theory; presenting the most important results from leading Russian and Western scientists. This timely and important work will enable new or experienced researchers to improve their knowledge of this important field of plasma research.

The two experimental studies reported in this thesis contribute important new knowledge about phase transitions in two-dimensional complex plasmas: in one case a determination of the coupling parameter (ratio of mean potential to mean kinetic energy of the particles in an ensemble), and in the other a detailed characterization of the non-equilibrium recrystallization of a two-dimensional system. The latter results are used to establish the connection between structural order parameters and the kinetic energy, which in turn gives novel insights into the underlying physical processes determining the two-dimensional phase transition.

This textbook accommodates the two divergent developmental paths which have become solidly established in the field of fusion energy: the process of sequential tokamak development toward a prototype and the need for a more fundamental and integrative research approach before costly design choices are made.

Emphasis is placed on the development of physically coherent and mathematically clear characterizations of the scientific and technological foundations of fusion energy which are specifically suitable for a first course on the subject. Of interest, therefore, are selected aspects of nuclear physics, electromagnetics, plasma physics, reaction dynamics, materials science, and engineering systems, all brought together to form an integrated perspective on nuclear fusion and its practical utilization.

The book identifies several distinct themes. The first is concerned with preliminary and introductory topics which relate to the basic and relevant physical processes associated with nuclear fusion. Then, the authors undertake an analysis of magnetically confined, inertially confined, and low-temperature fusion energy concepts. Subsequently, they introduce the important blanket domains surrounding the fusion core and discuss synergetic fusion -- fission systems. Finally, they consider selected conceptual and technological subjects germane to the continuing development of fusion energy systems.

It is well established and appreciated by now that more than 99% of the baryonic matter in the universe is in the plasma state. Most astrophysical systems could be approximated as conducting fluids in a gravitational field. It is the combined effect of these two that gives rise to the mind boggling variety of configurations in the form of filaments, loops, jets and arches. The plasma structures that cannot last for more than a second or less in a laboratory remain intact for astronomical time and spatial scales in an astrophysical setting. The case in point is the well known extragalactic jets whose collimation and stability has remained an enigma inspite of the efforts of many for many long years. The high energy radiation sources such as the active galactic nuclei again summon the coherent plasma radiation processes for their exceptionally large output from regions of relatively small physical sizes. The generation of magnetic field, anomalous transport of angular momentum with decisive bearing on star formation processes, the ubiquitous MHD turbulence under conditions irreproducible in terrestrial laboratories are some of the generic issues still awaiting a concerted effort for their understanding. Quantum Plasmas, pair plasmas and pair-ion plasmas exist under extreme conditions in planetary interiors and exotic stars. In this workshop plasma physicists, astrophysicists and plasma astrophysicists are brought together to discuss these issues.

Recent research has brought the application of microwaves from the classical fields of heating, communication, and generation of plasma discharges into the generation of compact plasmas that can be used for applications such as FIB and small plasma thrusters. However, these new applications bring with them a new set of challenges. With coverage ranging from the basics to new and emerging applications, Compact Plasma and Focused Ion Beams discusses how compact high-density microwave plasmas with dimensions smaller than the geometrical cutoff dimension can be generated and utilized for providing focused ion beams of various elements. Starting with the fundamentals of the cutoff problem for wave propagation in waveguides and plasma diagnostics, the author goes on to explain in detail the plasma production by microwaves in a compact geometry and narrow tubes. He then thoroughly discusses wave interaction with bounded plasmas and provides a deeper understanding of the physics. The book concludes with an up-to-date account of recent research on pulsed microwaves and the application of compact microwave plasmas for multi-element FIB. It provides a consolidated and unified description of the emerging areas in plasma science and technology utilizing wave-based plasma sources based on the author's own work and experience. The book will be useful not only to established researchers in this area but will also serve as an excellent introduction to those interested in applying these ideas to various current and new applications.

This monograph describes plasma physics for magnetic confinement of high temperature plasmas in nonaxisymmetric toroidal magnetic fields or stellarators. The techniques are aimed at controlling nuclear fusion for continuous energy production. While the focus is on the nonaxisymmetric toroidal field, or heliotron, developed at Kyoto University, the physics applies equally to other stellarators and axisymmetric tokamaks. The author covers all aspects of magnetic confinement, formation of magnetic surfaces, magnetohydrodynamic equilibrium and stability, single charged particle confinement, neoclassical transport and plasma heating. He also reviews recent experiments and the prospects for the next generation of devices.

The aim of this book is to provide the reader with a coherent and updated comprehensive treatise that covers the central subjects of the field. The style and content is suitable both for students and researchers. Highlights of the book include (among many others) the Ion-Sphere model, statistical models, Average-Atom model, emission spectrum, unresolved transition arrays, supertransition arrays, radiation transport, escape factors and x-ray lasers.