This book explores the fascinating and intimate relationship between music and physics. Over millennia, the playing of, and listening to music have stimulated creativity and curiosity in people all around the globe. Beginning with the basics, the authors first address the tonal systems of European-type music, comparing them with those of other, distant cultures. They analyze the physical principles of common musical instruments with emphasis on sound creation and particularly charisma. Modern research on the psychology of musical perception - the field known as psychoacoustics - is also described. The sound of orchestras in concert halls is discussed, and its psychoacoustic effects are explained. Finally, the authors touch upon the role of music for our mind and society. Throughout the book, interesting stories and anecdotes give insights into the musical activities of physicists and their interaction with composers and musicians.

Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.

Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.

Introduces Systematic Formulations for Use in Acoustic Applications Acoustics in Moving Inhomogeneous Media, Second Edition offers a uniquely complete and rigorous study of sound propagation and scattering in moving media with deterministic and random inhomogeneities. This study is of great importance in many fields including atmospheric and oceanic acoustics, aeroacoustics, acoustics of turbulent flows, remote sensing of the atmosphere and ocean, noise pollution in the atmosphere, and wave propagation. Provides Sensible Explanations Using Step-by-Step Practice The book begins by considering sound propagation through moving media with deterministic inhomogeneities such as vertical profiles of temperature and wind velocity in the atmosphere. It moves on to a new study of sound propagation and scattering in media with random inhomogeneities in adiabatic sound speed, density, and medium velocity. Then this second edition newly sets out state-of-the-art numerical methods for calculating the sound field and its statistical characteristics in moving inhomogeneous media, which is particularly useful for those working in atmospheric acoustics and studying noise pollution. Numerical codes are provided on the book's website www.crcpress.com/product/isbn/9780415564168 Covered in three parts, this second edition: Incorporates new results developed since the previous edition Rewrites and extends the text with formulations of sound propagation and scattering in random moving media Describes numerical methods for performing calculations involving equations from the first two parts Acoustics in Moving Inhomogeneous Media, Second Edition serves as the basis of a graduate course in atmospheric and oceanic acoustics or as a rigorous reference work

This volume represents the findings of the first test cases considered by ERCOFTAC (European Research Consortium on Flow Turbulence and Combustion). The workshop, held in Lausanne, Switzerland, in 1990, studied five test cases: boundary layer in an S-shaped duct; periodic array of cylinders; transition in a boundary layer under the influence of free-stream turbulence; axisymmetric confined jet flows. These test cases represented the interests of both the academic and industrial groups in finding out the limits of various models and codes to predict real problems supported by experimental data. The articles summarise the work of each group and point to refinements and further study to perfect the models. As such there will be much of interest to all professionals and researchers concerned with the prediction of flows and turbulence.

Smectic and lamellar liquid crystals are three-dimensional layered structures in which each layer behaves as a two-dimensional fluid. Because of their reduced dimensionality they have unique physical properties and challenging theoretical descriptions, and are the subject of much current research. One- and Two-Dimensional Fluids: Properties of Smectic, Lamellar and Columnar Liquid Crystals offers a comprehensive review of these phases and their applications. The book details the basic structures and properties of one- and two-dimensional fluids and the nature of phase transitions. The later chapters consider the optical, magnetic, and electrical properties of special structures, including uniformly and non-uniformly aligned anisotropic films, lyotropic lamellar systems, helical and chiral structures, and organic anisotropic materials. Topics also include typical and defective features, magnetic susceptibility, and electrical conductivity. The book concludes with a review of current and potential applications in the displays, materials science, and biomedical industries. Rather than focusing on one aspect of liquid crystal research, this book provides a cohesive summary of the properties and applications of smectic, lamellar, and columnar liquid crystals. One- and Two-Dimensional Fluids is a valuable resource for those working with liquid crystals every day and an effective foundation for newcomers to the field.

This textbook, addressed primarily to physics and engineering students, is a comprehensive introduction to waves and oscillations, both mechanical and electromagnetic. Elementary aspects of matter waves are also considered. One objective is to illustrate the physics involved in the description and analysis of waves through a wide range of examples, from purely mechanical and purely electromagnetic to coupled electro-mechanical waves, such as plasma oscillations and hydromagnetic waves. In this process, the use of complex amplitudes in the mathematical analysis is illuminated and encouraged to make tractable a wider range of problems than is ordinarily considered in an introductory text. General concepts and wave phenomena such as wave energy and momentum, interference, diffraction, scattering, dispersion, and the Doppler effect are illustrated by numerous examples and demonstrations. Among the special topics covered are waves on periodic structures and in solids, wave guides, a detailed analysis of light scattering from thermal fluctuations of a liquid surface, and feedback instabilities. Important ideas and equations are displayed in boxes for easy reference, and there are numerous examples throughout the text and exercises at the end of every chapter. Undergraduates and graduates should find this an indispensable account of this central subject in science and engineering.

Explore a unified treatment of the dynamics of combustor systems, including acoustics, fluid mechanics, and combustion in a single rigorous text. This updated new edition features an expansion of data and experimental material, updates the coverage of flow stability, and enhanced treatment of flame dynamics. Addresses system dynamics of clean energy and propulsion systems used in low emissions systems. Synthesizing the fields of fluid mechanics and combustion into a coherent understanding of the intrinsically unsteady processes in combustors. This is a perfect reference for engineers and researchers in fluid mechanics, combustion, and clean energy.

How do we understand culture and shape its future? How do we cross the bridge between culture as ideas and feelings and physical, cultural objects, all this within the endless variety and complexity of modern and traditional societies? This book proposes a Physical Culture Theory, taking culture as a self-organizing impulse pattern of electric forces. Bridging the gap to consciousness, the Physical Culture Theory proposes that consciousness content, what we think, hear, feel, or see is also just this: spatio-temporal electric fields. Music is a perfect candidate to elaborate on such a Physical Culture Theory. Music is all three, musical instrument acoustics, music psychology, and music ethnology. They emerge into living musical systems like all life is self-organization. Therefore the Physical Culture Theory knows no split between nature and nurture, hard and soft sciences, brains and musical instruments. It formulates mathematically complex systems as Physical Models rather than Artificial Intelligence. It includes ethical rules for maintaining life and finds culture and arts to be Human Rights. Enlarging these ideas and mathematical methods into all fields of culture, ecology, economy, or the like will be the task for the next decades to come.

Exploration seismology uses seismic imaging to form detailed images of the Earth's interior, enabling the location of likely petroleum targets. Due to the size of seismic datasets, sophisticated numerical algorithms are required. This book provides a technical guide to the essential algorithms and computational aspects of data processing, covering the theory and methods of seismic imaging. The first part introduces an extensive online library of MATLAB (R) seismic data processing codes maintained by the CREWES project at the University of Calgary. Later chapters then focus on digital signal theory and relevant aspects of wave propagation and seismic modelling, followed by deconvolution and seismic migration methods. Presenting a rigorous explanation of how to construct seismic images, it provides readers with practical tools and codes to pursue research projects and analyses. It is ideal for advanced students and researchers in applied geophysics, and for practicing exploration geoscientists in the oil and gas industry.

Music is not simply something we hear. We experience it and love it; it is a primal human need. If, as the pianist Alfred Brendel put it, that we are able to "take music at its word," we confront questions that also moved the author since his adolescent years: What takes hold of me when I experience music? What reality touches me when music is playing? What happens physiologically in the human body when we experience and make music? The author approaches these questions from three perspectives: first, from his personal experience and active love of music; second, from the physiological perspective; and third, from Rudolf Steiner's spiritual science. Dr. Husemann-author of The Harmony of the Human Body-shows how hearing is a sensory activity that encompasses far more than processes in the ear and brain, and that the whole body is involved. He also discusses the relationship between music and chemistry. Music is "chemistry from the inside." And finally, from 1915 to 1918, Rudolf Steiner developed a physiology of artistic imagination based on the movement of the cerebrospinal fluid during respiration. Human Hearing and the Reality of Music is the first attempt to relate Steiner's spiritual research to the findings of natural scientific research in this area.

The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interest to ocean engineers. Unfortunately, even the apparently simple problems appear to be difficult to tackle mathematically unless some simplified assumptions are made. Fortunately, one can assume water to be an incompressible, in viscid and homogeneous fluid. The linearised theory of water waves is based on the assumption that the amplitude of the motion is small compared to the wave length. If rotational motion is assumed, then the linearised theory of water waves is essentially concerned with solving the Laplace equation in the water region together with linearised boundary condition. There are varied classes of problems that have been/are being studied mathematically in the literature within the framework of linearised theory of water waves for last many years. Scattering by obstacles of various geometrical configurations is one such class of water wave problems. This book is devoted to advanced mathematical work related to water wave scattering. Emphasis is laid on the mathematical and computational techniques required to study these problems mathematically. The book contains nine chapters. The first chapter is introductory in nature. It includes the basic equations of linearised theory for a single layer fluid, a two-layer fluid, solution of dispersion equations, and a general idea on scattering problems and the energy identity in water with a free surface. Chapter 2 is concerned with wave scattering involving thin rigid plates of various geometrical configurations, namely, plane vertical barriers or curved barriers, inclined barriers, horizontal barrier, and also thin elastic vertical plate. For the horizontal case, the barrier is submerged below an ice-cover modelled as a thin elastic plate floating on water. Chapter 3 discusses wave scattering by a rectangular trench by using Galerkin technique. Chapter 4 involves wave scattering by a dock by using Carleman singular integral equation followed by reduction to Riemann-Hilbert problems. Chapter 5 involves several wave scattering problems involving discontinuities at the upper surface of water by using the Wiener-Hopf technique, by reduction to Carleman singular integral equations. Chapter 6 considers scattering by a long horizontal circular cylinder either half immersed or completely submerged. In chapter 7, some important energy identities are derived for scattering problems in a single-layer and also in a two-layer fluid. Chapter 8 is concerned with wave scattering in a two-layer fluid by a thin vertical plate and by a long horizontal circular cylinder submerged in either of the two layers. Chapter 9 is the final chapter which considers a number of wave scattering problems in a single-layer or a two-layer fluid with variable bottom topography by using a simplified perturbation analysis It is hoped that this book will be useful to researchers on water waves. The several wave scattering problems presented in the book are mostly based on the research work carried out by the authors and their associates.

Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

This introductory text emphasises physical principles, rather than the mathematics. Each topic begins with a discussion of the physical characteristics of the motion or system. The mathematics is kept as clear as possible, and includes elegant mathematical descriptions where possible. Designed to provide a logical development of the subject, the book is divided into two sections, vibrations followed by waves. A particular feature is the inclusion of many examples, frequently drawn from everyday life, along with more cutting-edge ones. Each chapter includes problems ranging in difficulty from simple to challenging and includes hints for solving problems. Numerous worked examples included throughout the book.

Turbulent Flows is an up-to-date and comprehensive graduate text on this important topic in fluid dynamics. The book consists of two parts: Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and their fundamental physical processes. Part II is concerned with different approaches for modeling, or simulating, turbulent flows. Key appendices present the necessary mathematical techniques. While primarily intended for engineering graduate students, this book will also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as to researchers and practicing engineers.

First published in 1967, Professor Batchelor's classic work is still one of the foremost texts on fluid dynamics. His careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This reissue ensures that a new generation of graduate students experiences the elegance of Professor Batchelor's writing.

Up-to-date coverage of the analysis and applications of coplanar waveguides to microwave circuits and antennas

The unique feature of coplanar waveguides, as opposed to more conventional waveguides, is their uniplanar construction, in which all of the conductors are aligned on the same side of the substrate. This feature simplifies manufacturing and allows faster and less expensive characterization using on-wafer techniques.

Coplanar Waveguide Circuits, Components, and Systems is an engineer’s complete resource, collecting all of the available data on the subject. Rainee Simons thoroughly discusses propagation parameters for conventional coplanar waveguides and includes valuable details such as the derivation of the fundamental equations, physical explanations, and numerical examples. Coverage also includes:

• Discontinuities and circuit elements
• Transitions to other transmission media
• Directional couplers, hybrids, and magic T
• Microelectromechanical systems based switches and phase shifters
• Tunable devices using ferroelectric materials
• Photonic bandgap structures
• Printed circuit antennas

Sound is almost always around us, anywhere, at any time, reaching our ears and stimulating our brains for better or worse. Sound can be the disturbing noise of a drill, a merry little tune sung by a friend, the song of a bird in the morning or a clap of thunder at night. The science of sound, or acoustics, studies all types of sounds and therefore covers a wide range of scientific disciplines, from pure to applied acoustics. Research dealing with acoustics requires a sound to be recorded, analyzed, manipulated and, possibly, changed. This is particularly, but not exclusively, the case in bioacoustics and ecoacoustics, two life sciences disciplines that attempt to understand and to eavesdrop on the sound produced by animals. Sound analysis and synthesis can be challenging for students, researchers and practitioners who have few skills in mathematics or physics. However, deciphering the structure of a sound can be useful in behavioral and ecological research - and also very amusing. This book is dedicated to anyone who wants to practice acoustics but does not know much about sound. Acoustic analysis and synthesis are possible, with little effort, using the free and open-source software R with a few specific packages. Combining a bit of theory, a lot of step-by-step examples and a few cases studies, this book shows beginners and experts alike how to record, read, play, decompose, visualize, parametrize, change, and synthesize sound with R, opening a new way of working in bioacoustics and ecoacoustics but also in other acoustic disciplines.

A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.

The classic acoustics reference! This widely-used book offers a clear treatment of the fundamental principles underlying the generation, transmission, and reception of acoustic waves and their application to numerous fields. The authors analyze the various types of vibration of solid bodies and the propagation of sound waves through fluid media.

"Provides a lot of reading pleasure and many new insights." —Journal of Molecular Structure

"This is the most entertaining, stimulating and useful book which can be thoroughly recommended to anyone with an interest in computer simulation." —Contemporary Physics

"A very useful introduction . . . more interesting to read than the often dry equation-based texts." —Journal of the American Chemical Society

Written especially for the novice, Molecular Dynamics Simulation demonstrates how molecular dynamics simulations work and how to perform them, focusing on how to devise a model for specific molecules and then how to simulate their movements using a computer. This book provides a collection of methods that until now have been scattered through the literature of the last 25 years. It reviews elements of sampling theory and discusses how modern notions of chaos and nonlinear dynamics explain the workings of molecular dynamics.

Stresses easy-to-use molecules

• Provides sample calculations and figures
• Includes four complete FORTRAN codes

Intended for coastal engineers and marine scientists who desire to develop a fundamental physical understanding of ocean waves and be able to apply this knowledge to ocean and coastal analysis and design. Provides an introduction to the physical processes of ocean wave mechanics, an understanding of the basic techniques for wave analysis, techniques for practical calculation and prediction of waves and applied wave forecasting.

The term "soliton" was coined only in 1965, to reflect the particle-like nature of solitary waves that remain intact even after mutual collisions. The book includes the latest developments in the field, including the main properties of erupting solids, considering the case of optical fiber systems described by the complex Ginzburg-Landau equation (CGLE); the propagation of ultrashort solitons in fiber-optic systems in the presence of intrapulse Raman scattering; the connection between rogue waves and modulation instability; the properties of solitary waves in coupled electrical nonlinear transmission lines, the results of experimental observations of solitary waves and their interactions, the engineering applications based on the management of solitary waves on coupled NLTLs; and finally, the effects of inhomogeneous exchange within ferromagnetic insulators.

Acoustics of Nanodispersed Magnetic Fluids presents key information on the acoustic properties of magnetic fluids. The book is based on research carried out by the author as well as on many publications in both the Russian and foreign scientific literature from 1969 onwards. It describes a wide variety of topics, which together lay the foundation of a new scientific research area: the acoustics of nanodispersed media. The book examines the nanoscale structure of matter in specific areas and discusses the following: Model theory and known features of the propagation of sound waves in magnetised fluids Acoustomagnetic and magnetoacoustic effects in magnetic fluids Acoustomagnetic spectroscopy of vibrational modes in the liquid-shell system Vibration and rheological effects of magnetised magnetic fluids Acoustometry of the shape of magnetic nanoaggregates and non-magnetic microaggregates Acoustogranulometry, a new method for studying the physical properties of magnetic nanoparticles dispersed in a carrier fluid The book is a valuable resource for engineers and researchers in the fields of acoustics, physical acoustics, magnetic hydrodynamics, and rheology physics. The experimental methods, which are described in this book, are based on incompatible features of magnetic fluids, i.e. strong magnetism, fluidity and compressibility. As a result, this can find industrial application in advanced technology. It is also useful for both advanced undergraduate and graduate students studying nanotechnology, materials science, physical and applied acoustics.

Trevor Cox is on a hunt for the sonic wonders of the world. A renowned expert who engineers classrooms and concert halls, Cox has made a career of eradicating bizarre and unwanted sounds. But after an epiphany in the London sewers, Cox now revels in exotic noises creaking glaciers, whispering galleries, stalactite organs, musical roads, humming dunes, seals that sound like alien angels, and a Mayan pyramid that chirps like a bird. With forays into archaeology, neuroscience, biology, and design, Cox explains how sound is made and altered by the environment, how our body reacts to peculiar noises, and how these mysterious wonders illuminate sound s surprising dynamics in everyday settings from your bedroom to the opera house. The Sound Book encourages us to become better listeners in a world dominated by the visual and to open our ears to the glorious cacophony all around us."