A lively, revealing look at waves of all kinds from the bestselling author of "The Cloudspotter's Guide"
Get ready for a global journey like no other-a passionate enthusiast's exploration of waves that begins with a quiet afternoon at the shore and ends with the world-class Hawaiian surf, making side trips to reveal the ups and downs of brain waves, radio waves, infrared waves, microwaves, shock waves, light waves, and much more.

Dieser Band der Reihe Fachwissen Technische Akustik behandelt die Komponenten einer Messapparatur, deren Aufbau, Funktionsweise und Kalibrierung sowie die signaltheoretische Analyse komplexer Schall-UEbertragungsfunktionen mit FFT-Analysatoren. Ferner werden typische Messraume und Labor-Apparaturen vorgestellt, so auch in Beispielen zur Absorptionsgrad- und Impedanzmessung, zur Modalanalyse und zu Arraymesstechniken. Akustische Messungen sind wesentlich in der Forschung und bei Untersuchungen in der schalltechnischen Praxis. Fast jede akustische Messapparatur besteht aus einem oder mehreren Mikrofonen oder anderen vibroakustischen Sensoren sowie einem Empfangsteil in Form eines Schallpegelmessers mit Bandpassen oder A-Filtern oder eines Analysesystems zur Bestimmung von UEbertragungsfunktionen oder Impulsantworten.

At the heart of quantum mechanics lies the wave function, a powerful but mysterious mathematical object which has been a hot topic of debate from its earliest stages. Covering much of the recent debate and providing a comprehensive and critical review of competing approaches, this ambitious text provides new, decisive proof of the reality of the wave function. Aiming to make sense of the wave function in quantum mechanics and to find the ontological content of the theory, this book explores new ontological interpretations of the wave function in terms of random discontinuous motion of particles. Finally, the book investigates whether the suggested quantum ontology is complete in solving the measurement problem and if it should be revised in the relativistic domain. A timely addition to the literature on the foundations of quantum mechanics, this book is of value to students and researchers with an interest in the philosophy of physics.

The respected classic, now in a handy paperback edition

Originally published in 1971, Harry Van Trees’ Detection, Estimation, and Modulation Theory, Part II is one of the classic references in the area of nonlinear modulation theory and analog communication. Highly readable and well organized, it is as valuable today for professionals, researchers, and students interested in the estimation of continuous waveforms as it was over thirty years ago.

Part II focuses on the problem of finding the optimum estimate of a waveform which is embedded in a signal in a nonlinear manner. The following topics are covered in detail:

• Bayesian Cramér-Rao bound on the mean-square estimation error
• Optimum demodulators for frequency-modulation systems
• Phase estimation: the synchronization problem
• Fokker-Planck techniques for nonlinear analysis in the presence of noise
• Optimum angle-modulation systems
• Rate distortion bounds for analog message transmission
• Analog communication over randomly time-varying channels
• State variable analysis procedures

For students in signal processing or professionals looking for a reliable refresher on waveform estimation, Detection, Estimation, and Modulation Theory, Part II provides authoritative, practical coverage by one of the most renowned figures in the field. Although most current systems are implemented digitally, the bounds on performance developed in Part II are still applicable.

Dieser Band der Reihe Fachwissen Technische Akustik gibt einen UEberblick uber bahnakustische Fragestellungen und beschreibt dabei die wichtigsten Mechanismen, Minderungsmassnahmen, Mess- und Simulationsverfahren und zeigt typische Mess- und Berechnungsergebnisse. Daneben werden Prognoseverfahren beschrieben und es wird auf die Bewertung von Schienenverkehrslarm eingegangen.

There are various types of waves including water, sound, electromagnetic, seismic and shock etc. These waves need to be analyzed and understood for different practical applications. This book is an attempt to consider the waves in detail to understand the physical and mathematical phenomena. A major challenge is to model waves by experimental studies.The aim of this book is to address the efficient and recently developed theories along with the basic equations of wave dynamics. The latest development of analytical/semi analytical and numerical methods with respect to wave dynamics are also covered. Further few challenging experimental studies are considered for related problems. This book presents advances in wave dynamics in simple and easy to follow chapters for the benefit of the readers/researchers.

Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 2 analyzes the radiation, scattering and generation of these waves. It studies the emission of bulk or surface waves from sources localized on the surface of an isotropic or anisotropic solid. It then examines the scattering of a longitudinal or transverse elastic wave by one or more cylindrical or spherical heterogeneities. Finally, it explores the methods and devices used to generate and detect elastic waves, using the piezoelectric effect or the interaction with a laser beam. Accompanying figures illustrate these properties, and the text provides the orders of magnitude of some characteristic parameters. This book is intended for students completing a master's degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.

Solid Acoustic Waves and Vibration: Theory and Applications is an exciting new book that takes readers inside a fascinating subject. It is charming that there is a complex and delicate structure in characteristic values, which is revealed by introducing a conceptual system including space operator, space-time variable, reference Poisson's ratio, etc., and developing the analytical models for all limiting cases. The dispersion curves of waves in an elastic plate are determined completely, and a systematic and concise description of the fundamental theory of this subject is given.As MEMS and NEMS technology develops, a number of new issues presents, such as the effects of residual stress, thin-film, air captured in micro-air-gaps and coating on the system, which make the problem complicated and spark debates. Micro-diaphragms are modeled by a plate in tension and mounted on air-spring, a general TDK equation of vibration of plates, including free, forced and damped vibrations, and its solutions are developed. The loading effect of coating is modeled by a mass load; a micro-load theory is presented. This book is a summary of the author's long-term research on electromechanical transducers and these related issues, and they provide an excellent description combining theory and application. The principle of electromechanical transducers, which achieve the conversion between mechanical and electrical energy, occupying a particularly important position in the field of robotics and intelligent machines, is elucidated by introducing the concepts of space-time operator, complex transformation factor, inversion impedance, etc., and an unfiled equivalent circuit is presented. The applications in micromachined capacitive ultrasonic transducers (mCUTs, CMUTs) for biomedical imaging and ultrasonic mass resonators (mUMRs) for biochemical sensing, including plate-type, beam-type, nanowire, bulk-wave, LAW and SAW delay-line ultrasonic resonators are described. This interdisciplinary book will be increasingly attractive as MEMS and NEMS technology develops.

This volume is based on lectures delivered at the 2020 AMS Short Course ""Mean Field Games: Agent Based Models to Nash Equilibria,"" held January 13-14, 2020, in Denver, Colorado. Mean field game theory offers a robust methodology for studying large systems of interacting rational agents. It has been extraordinarily successful and has continued to develop since its inception. The six chapters that make up this volume provide an overview of the subject, from the foundations of the theory to applications in economics and finance, including computational aspects. The reader will find a pedagogical introduction to the main ingredients, from the forward-backward mean field game system to the master equation. Also included are two detailed chapters on the connection between finite games and mean field games, with a pedestrian description of the different methods available to solve the convergence problem. The volume concludes with two contributions on applications of mean field games and on existing numerical methods, with an opening to machine learning techniques.

This Element introduces the exotic wave phenomena arising from the extremely small optical refractive index, and sheds light on the underlying mechanisms, with a primary focus on the basic concepts and fundamental wave physics. The authors reveal the exciting applications of ENZ metamaterials, which have profound impacts over a wide range of fields of science and technology. The sections are organized as follows: in Section 2, the authors demonstrate the extraordinary wave properties in ENZ metamaterials, analyzing the unique wave dynamics and the resulting effects. Section 3 is dedicated to introducing various realization methods of the ENZ metamaterials with periodic and non-periodic styles. The applications of ENZ metamaterials are discussed in Sections 4 and 5, from the perspectives of microwave engineering, optics, and quantum physics. The authors close in Section 6 by presenting an outlook on the development of ENZ metamaterials and discussing the key challenges addressed in future works.

The safe operation of a nuclear power plant depends on the reliability and safety of the reactor plant, which in turn requires careful monitoring of the equipment at the manufacturing and operation stages. This monograph critically examines the fundamental effects of hydrodynamic and vibration load formation on the modern power unit of the VVER-1200 nuclear power plant, which is originally designed in Russia, as well as the causes and main sources of vibration in the main circulation loop and their energy contribution. Practical examples are used to explain how vibration stress can be reduced and the hydrodynamic status of the circuit improved. Current research on the vibroacoustics of some non-Russion nuclear reactors is also included.

"Although there are many texts and monographs on fluid dynamics, I do not know of any which is as comprehensive as the present book. It surveys nearly the entire field of classical fluid dynamics in an advanced, compact, and clear manner, and discusses the various conceptual and analytical models of fluid flow." — Foundations of Physics on the first edition

Theoretical Fluid Dynamics functions equally well as a graduate-level text and a professional reference. Steering a middle course between the empiricism of engineering and the abstractions of pure mathematics, the author focuses on those ideas and formulations that will be of greatest interest to students and researchers in applied mathematics and theoretical physics. Dr. Shivamoggi covers the main branches of fluid dynamics, with particular emphasis on flows of incompressible fluids. Readers well versed in the physical and mathematical prerequisites will find enlightening discussions of many lesser-known areas of study in fluid dynamics.

This thoroughly revised, updated, and expanded Second Edition features coverage of recent developments in stability and turbulence, additional chapter-end exercises, relevant experimental information, and an abundance of new material on a wide range of topics, including:

• Hamiltonian formulation
• Nonlinear water waves and sound waves
• Stability of a fluid layer heated from below
• Equilibrium statistical mechanics of turbulence
• Two-dimensional turbulence

Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own.

The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.

foundations of duct acoustics to the acoustic design of duct systems, through practical modeling, optimization and measurement techniques. Discover in-depth analyses of one- and three-dimensional models of sound generation, propagation and radiation, as techniques for assembling acoustic models of duct systems from simpler components are described. Identify the weaknesses of mathematical models in use and improve them by measurement when needed. Cope with challenges in acoustic design, and improve understanding of the underlying physics, by using the tools described. An essential reference for engineers and researchers who work on the acoustics of fluid machinery ductworks.

This graduate text is indispensable for those wanting to see and understand the mechanics of extreme dynamic events. It describes in detail the mechanics and material models used in understanding impact and penetration events. Covers continuum mechanics, the Hugoniot jump conditions, plasticity theory, damage and failure theory, shock and wave propagation in both Eulerian and Lagrangian frameworks, and the high pressure and high-rate response of materials. Nonlinearity in response of materials and systems is a common theme, showing itself in interesting and surprising ways. Materials are studied through damage to failure, since in armor and protection applications materials are utilized all the way through failure. Continuum and constitutive modelling topics required for modern large-scale numerical simulation techniques are clearly described. Extensive exercises ensure comprehension and explore new topics. This text is appropriate for a variety of graduate courses, including Continuum Mechanics, Advanced Solid Mechanics, and Plasticity and Inelasticity Theory.