Acoustic High Frequency Diffraction Theory
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Acoustic High Frequency Diffraction Theory
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Author : Frédéric Molinet
language : en
Publisher:
Release Date : 2011
Acoustic High Frequency Diffraction Theory written by Frédéric Molinet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Technology & Engineering categories.
Covering analytical research in aerial and underwater acoustics, this new scholarly work treats the interaction of acoustic waves with obstacles which may be rigid, soft, elastic, or characterized by an impedance boundary condition. The approach is founded on asymptotic high frequency methods which are based on the concept of rays. For despite the progress in numerical methods for diffraction problems, ray methods still remain the most useful method of approximation for analyzing wave motions. They provide not only considerable physical insight and understanding of diffraction mechanisms but they are also able to treat objects which are still too large in terms of wavelength to fall in the realm of numerical analysis.
Low And High Frequency Asymptotics
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Author : V.K. Varadan
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Low And High Frequency Asymptotics written by V.K. Varadan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.
High Frequency And Pulse Scattering
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Author : Allan D. Pierce
language : en
Publisher: Academic Press
Release Date : 2013-10-22
High Frequency And Pulse Scattering written by Allan D. Pierce and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
High Frequency and Pulse Scattering investigates high frequency and pulse scattering, with emphasis on the phenomenon of echoes from objects. Geometrical and catastrophe optics methods in scattering are discussed, along with the scattering of sound pulses and the ringing of target resonances. Caustics and associated diffraction catastrophes are also examined. Comprised of two chapters, this volume begins with a detailed account of geometrically based approximation methods in scattering theory, focusing on waves transmitted through fluid and elastic scatterers and glory scattering; surface ray representations of scattering by shells and other smooth objects; and caustics and associated diffraction catastrophes. The second chapter deals with the relation between sound pulses and the vibrational spectra of elastic submerged objects. The theory of the scattering of sound pulses from elastic and impenetrable objects is described, together with the theory of surface wave pulses. Target resonances and the singularity expansion method are also analyzed. This book will be of interest to physicists.
Equations Of Mathematical Diffraction Theory
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Author : Mezhlum A. Sumbatyan
language : en
Publisher: CRC Press
Release Date : 2004-09-29
Equations Of Mathematical Diffraction Theory written by Mezhlum A. Sumbatyan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-29 with Science categories.
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.
Fundamentals Of The Physical Theory Of Diffraction
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Author : Pyotr Ya. Ufimtsev
language : en
Publisher: John Wiley & Sons
Release Date : 2007-02-09
Fundamentals Of The Physical Theory Of Diffraction written by Pyotr Ya. Ufimtsev and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-09 with Science categories.
This book is the first complete and comprehensive description of the modern Physical Theory of Diffraction (PTD) based on the concept of elementary edge waves (EEWs). The theory is demonstrated with the example of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. The derived analytic expressions clearly explain the physical structure of the scattered field and describe in detail all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a new fundamental component of the field, is introduced and proven to contain half of the total scattered power.
Elastic Waves At High Frequencies
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Author : John G. Harris
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22
Elastic Waves At High Frequencies written by John G. Harris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-22 with Science categories.
John G. Harris intended to explain in this book the special techniques required to model the radiation and diffraction of elastic and surface waves. Sadly, he died before he could fulfil this ambition, but his plan has been brought to fruition by a team of his distinguished collaborators. The book begins with the basic underlying equations for wave motion and then builds upon this foundation by solving a number of fundamental scattering problems. The remaining chapters provide a thorough introduction to modern techniques that have proven essential to understanding radiation and diffraction at high frequencies. Graduate students, researchers and professionals in applied mathematics, physics and engineering will find that the chapters increase in complexity, beginning with plane-wave propagation and spectral analyses. Other topics include elastic wave theory, the Wiener–Hopf technique, the effects of viscosity on acoustic diffraction, and the phenomenon of channelling of wave energy along guided structures.
Acoustics
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Author : Allan D. Pierce
language : en
Publisher: Springer
Release Date : 2019-06-22
Acoustics written by Allan D. Pierce and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-22 with Science categories.
This corrected version of the landmark 1981 textbook introduces the physical principles and theoretical basis of acoustics with deep mathematical rigor, concentrating on concepts and points of view that have proven useful in applications such as noise control, underwater sound, architectural acoustics, audio engineering, nondestructive testing, remote sensing, and medical ultrasonics. Since its publication, this text has been used as part of numerous acoustics-related courses across the world, and continues to be used widely today. During its writing, the book was fine-tuned according to insights gleaned from a broad range of classroom settings. Its careful design supports students in their pursuit of a firm foundation while allowing flexibility in course structure. The book can easily be used in single-term or full-year graduate courses and includes problems and answers. This rigorous and essential text is a must-have for any practicing or aspiring acoustician.
Plane Wave Theory Of Time Domain Fields
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Author : Thorkild B. Hansen
language : en
Publisher: John Wiley & Sons
Release Date : 1999-06-10
Plane Wave Theory Of Time Domain Fields written by Thorkild B. Hansen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-10 with Science categories.
"This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society.
Low And High Frequency Asymptotics
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Author : V. K. Varadan
language : en
Publisher:
Release Date : 1986
Low And High Frequency Asymptotics written by V. K. Varadan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.
Physical Acoustics V15
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Author : Warren P. Mason
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Physical Acoustics V15 written by Warren P. Mason and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Physical Acoustics: Principles and Methods, Volume XV is a four-chapter text that covers the history of ultrasonics, interdigital transducers, theory of resonance scattering, and acoustic emission. Chapter 1 provides the history of ultrasonics and the developments of its application in crystal transducers, oscillators, selective wave filters, underwater sound, dentistry, and medicine. Chapter 2 is a comprehensive account of the use of circuit model analysis to design interdigital transducers (IDTs) for surface acoustic wave (SAW) devices. This chapter also looks into the total filter design problem for the important case of SAW filters composed solely of IDTs and matching circuits. Chapter 3 discusses the resonance scattering theory, its application to acoustic-and elastic-wave scattering, and the relevant experiments. Chapter 4 deals with the optical detection of acoustic emissions, acoustic emissions during various transformations, and dislocation effects. Researchers in the fields of electronics technology and applied and engineering mechanics will find this book invaluable.