Acoustic High-frequency Diffraction Theory

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Publisher :
ISBN 13 : 9781606501009
Total Pages : 474 pages
Book Rating : 4.5/5 (1 download)

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Book Synopsis Acoustic High-frequency Diffraction Theory by : Frédéric Molinet

Download or read book Acoustic High-frequency Diffraction Theory written by Frédéric Molinet and published by . This book was released on 2011 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Waves in Focal Regions

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Publisher :
ISBN 13 : 9780203733998
Total Pages : pages
Book Rating : 4.7/5 (339 download)

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Book Synopsis Waves in Focal Regions by : Jakob J. Stamnes

Download or read book Waves in Focal Regions written by Jakob J. Stamnes and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments."--Provided by publisher.

Short-Wavelength Diffraction Theory

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Publisher : Springer
ISBN 13 : 9783642834615
Total Pages : 0 pages
Book Rating : 4.8/5 (346 download)

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Book Synopsis Short-Wavelength Diffraction Theory by : Vasili M. Babic

Download or read book Short-Wavelength Diffraction Theory written by Vasili M. Babic and published by Springer. This book was released on 2011-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role. These are the meth ods to be treated in this book. The applications of asymptotic methods in the theory of wave phenomena are still far from being exhausted, and we hope that the techniques set forth here will help in solving a number of problems of interest in acoustics, geophysics, the physics of electromagnetic waves, and perhaps in quantum mechanics. In addition, the book may be of use to the mathematician interested in contemporary problems of mathematical physics. Each chapter has been annotated. These notes give a brief history of the problem and cite references dealing with the content of that particular chapter. The main text mentions only those pUblications that explain a given argument or a specific calculation. In an effort to save work for the reader who is interested in only some of the problems considered in this book, we have included a flow chart indicating the interdependence of chapters and sections.

Fundamentals of the Physical Theory of Diffraction

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Publisher :
ISBN 13 : 9781118753767
Total Pages : 469 pages
Book Rating : 4.7/5 (537 download)

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Book Synopsis Fundamentals of the Physical Theory of Diffraction by :

Download or read book Fundamentals of the Physical Theory of Diffraction written by and published by . This book was released on 2014 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Papers on Scalar Wave Diffraction

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Publisher : SPIE-International Society for Optical Engineering
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Selected Papers on Scalar Wave Diffraction by : Kurt Edmund Oughstun

Download or read book Selected Papers on Scalar Wave Diffraction written by Kurt Edmund Oughstun and published by SPIE-International Society for Optical Engineering. This book was released on 1992 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diffraction by an Immersed Elastic Wedge

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Publisher : Springer
ISBN 13 : 3540466983
Total Pages : 138 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille

Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.

Theory of Diffraction from a Paraboloid of Revolution

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Theory of Diffraction from a Paraboloid of Revolution by : Vladimir Aleksandrovich Fok

Download or read book Theory of Diffraction from a Paraboloid of Revolution written by Vladimir Aleksandrovich Fok and published by . This book was released on 1957 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diffraction Theory

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Publisher : Alpha Science International, Limited
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Diffraction Theory by : V. M. Babich

Download or read book Diffraction Theory written by V. M. Babich and published by Alpha Science International, Limited. This book was released on 2008 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains the detailed descriptions of the Sommerfeld-Malyuzhinets technique and the related mathematical aspects.

Short-Wavelength Diffraction Theory

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Publisher : Springer
ISBN 13 : 9783642834592
Total Pages : 0 pages
Book Rating : 4.8/5 (345 download)

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Book Synopsis Short-Wavelength Diffraction Theory by : Vasili M. Babic

Download or read book Short-Wavelength Diffraction Theory written by Vasili M. Babic and published by Springer. This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role. These are the meth ods to be treated in this book. The applications of asymptotic methods in the theory of wave phenomena are still far from being exhausted, and we hope that the techniques set forth here will help in solving a number of problems of interest in acoustics, geophysics, the physics of electromagnetic waves, and perhaps in quantum mechanics. In addition, the book may be of use to the mathematician interested in contemporary problems of mathematical physics. Each chapter has been annotated. These notes give a brief history of the problem and cite references dealing with the content of that particular chapter. The main text mentions only those pUblications that explain a given argument or a specific calculation. In an effort to save work for the reader who is interested in only some of the problems considered in this book, we have included a flow chart indicating the interdependence of chapters and sections.

Wave Propagation and Diffraction

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Publisher : Springer
ISBN 13 : 9811049238
Total Pages : 251 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Wave Propagation and Diffraction by : Igor T. Selezov

Download or read book Wave Propagation and Diffraction written by Igor T. Selezov and published by Springer. This book was released on 2017-09-05 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.

Scalar Diffraction from a Circular Aperture

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Publisher : Springer Science & Business Media
ISBN 13 : 1461544432
Total Pages : 183 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Scalar Diffraction from a Circular Aperture by : Charles J. Daly

Download or read book Scalar Diffraction from a Circular Aperture written by Charles J. Daly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scalar diffraction from a circular aperture is a ubiquitous problem that arises in a variety of disciplines, such as optics (lenses), acoustics (speakers), electromagnetics (dish antennas), and ultrasonics (piston transducers). The problem endures despite centuries of research because each new generation of researchers rediscovers it and adds some novel insight or new result to the existing literature. Scalar Diffraction from a Circular Aperture promises a few new results and several novel insights, particularly with regard to spatial averaging. Although the text emphasizes ultrasonic diffraction, the results and insights developed are general and may be applied to the many practical problems involving scalar diffraction from a circular aperture. Included are novel insights on mirror-image diffraction, autoconvolution diffraction, and coherent and incoherent averaging. Examples from ultrasonic imaging, a coherent imaging modality, are used to develop a fairly general theory that connects over a century of research on scalar diffraction from a circular aperture. The material is based on a synthesis of mathematics, physical optics, linear systems theory, and scalar diffraction theory. Thus, engineers, scientists, mathematicians, and students working in optics, acoustics, antenna design, biomedical engineering, non-destructive testing, and astronomy will find Scalar Diffraction from a Circular Aperture interesting, provocative, and useful.

Classical and Modern Diffraction Theory

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Publisher : SEG Books
ISBN 13 : 1560803223
Total Pages : 341 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Classical and Modern Diffraction Theory by : Kamill Klem-Musatov

Download or read book Classical and Modern Diffraction Theory written by Kamill Klem-Musatov and published by SEG Books. This book was released on 2016-06-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.

Asymptotic Methods in Short-wavelength Diffraction Theory

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Publisher : Alpha Science International, Limited
ISBN 13 : 9781842652329
Total Pages : 0 pages
Book Rating : 4.6/5 (523 download)

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Book Synopsis Asymptotic Methods in Short-wavelength Diffraction Theory by : V. M. Babich

Download or read book Asymptotic Methods in Short-wavelength Diffraction Theory written by V. M. Babich and published by Alpha Science International, Limited. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to modern approaches of a high-frequency technique in diffraction theory, Asymptotic Methods in Short-Wavelength Diffraction Theory outlines a variety of crucial topics. The book considers a multitude of matters, ranging from the ray method to the theory of high-frequency whispering-gallery waves alongside the reviewing and reflecting on recent results from the literature dealing with localized asymptotic solutions and uniform representation of a high-frequency wave-field. The book serves as an exclusive address to experts on electromagnetics, seismology and acoustics as well as to mathematicians interested in modern approaches of mathematical physics.

Applied Diffraction Theory

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Publisher : New York : American Elsevier Publishing Company
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applied Diffraction Theory by : F. H. Northover

Download or read book Applied Diffraction Theory written by F. H. Northover and published by New York : American Elsevier Publishing Company. This book was released on 1971 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acoustic Surface Wave Diffraction and Beam Steering

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Acoustic Surface Wave Diffraction and Beam Steering by : Thomas L. Szabo

Download or read book Acoustic Surface Wave Diffraction and Beam Steering written by Thomas L. Szabo and published by . This book was released on 1973 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report contains a detailed description of diffraction in acoustic surface wave devices. This source of loss is highly important in the design and realization of bandpass filters, long time delay lines and other devices for electronic sensors and communications systems. A complete review of acoustic surface wave diffraction on anisotropic substrates is presented. Full experimental verification of theory is provided. Complete computer program listings and descriptions are provided. The limits of applicability of the parabolic velocity surface theory are quantitatively delineated. Universal diffraction loss design curves are given for all parabolic materials. A limitation in the use of the exact angular spectrum of waves theory occurs for materials having a power flow angle slope approximately - 1 unless the velocity surfaces are very accurately known. Both YZ LiNbO3 and 16-1/2 degree double rotated LiNbO3 fall in this category. Approximate diffraction loss design curves are given for YZ LiNbO3. A complete tabular summary of all important material properties affecting acoustic surface wave device design is included. (Author).

Diffraction of a High-frequency Plane Electromagnetic Wave by a Perfectly Conducting Circular Disc

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Diffraction of a High-frequency Plane Electromagnetic Wave by a Perfectly Conducting Circular Disc by :

Download or read book Diffraction of a High-frequency Plane Electromagnetic Wave by a Perfectly Conducting Circular Disc written by and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method already developed for the diffraction of scalar waves by a circular disc is generalised so as to be applicable to the diffraction of an electromagnetic wave. The generalisation leads, in a straightforward manner, to an asymptotic development of the current density on the disc at high frequencies. The principal complication which arises is in solving three simultaneous linear equations for three constants which occur in the method of solution. Detailed calculations are given for a normally incident plane wave. (Author).

Inverse Problems of Wave Propagation and Diffraction

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Publisher : Springer
ISBN 13 : 9783662141533
Total Pages : 384 pages
Book Rating : 4.1/5 (415 download)

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Book Synopsis Inverse Problems of Wave Propagation and Diffraction by : Guy Chavent

Download or read book Inverse Problems of Wave Propagation and Diffraction written by Guy Chavent and published by Springer. This book was released on 2014-03-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.