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Acoustics of Layered Media II presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods.This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.

Acoustics of Layered Media II presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods.This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.

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Acoustics of Layered Media Ii presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods.This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.

Acoustics of Layered Media Ii presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods.This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.

This monograph is devoted to the systematic presentation of the theory of sound­ wave propagation in layered structures. These structures can be man-made, such as ultrasonic filters, lenses, surface-wave delay lines, or natural media, such as the ocean and the atmosphere, with their marked horizontal stratification. A related problem is the propagation of elastic (seismic) waves in the earth's crust These topics have been treated rather completely in the book by L. M. Brek­ hovskikh, Waves in Layered Media, the English version of the second edition of which was published by Academic Press in 1980. Due to progress in experimental and computer technology it has become possible to analyze the influence of factors such as medium motion and density stratification upon the propagation of sound waves. Much attention has been paid to propagation theory in near-stratified media, Le. , media with small deviations from strict stratification. Interesting results have also been obtained in the fields of acoustics which had been previously considered to be "completely" developed. For these reasons, and also because of the inflow of researchers from the related fields of physics and mathematics, the circle of persons and research groups engaged in the study of sound propagation has rather expanded. Therefore, the appearance of a new summary review of the field of acoustics of layered media has become highly desirable. Since Waves in Layered Media became quite popular, we have tried to retain its positive features and general structure.

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This curious piece combines a myriad of individual blocks to create a kind of disjointed tile effect. Each block has its own shape and story, with both artistic texture and a sculpted form that catches the light. The image as a whole has its own effect, scattering light and seeming almost to shift before your eyes. This industrial, urban image is a great talking point. Color: Gold.

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INTENSITY is a new kind of audio processor for mixing, mastering and sound design. Built on techniques typically found in facial recognition algori...

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.

Very fine copy, minimal wear. We take great pride in accurately describing the condition of our books and media, ship within 48 hours, and offer a 100% money back guarantee. Customers purchasing more than one item from us may be entitled to a shipping discount.

This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion and absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize on the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.

This book focuses on the tremendous development that has taken place recently in the field of of nondifferentiable nonconvex optimization. Coverage includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the co-derivative of Mordukhovich), the opening of new applications (the calibration of water supply systems), and the elaboration of new solution algorithms (e.g., smoothing methods).

This is the first volume of its kind to present the principles of biomechanics with a highly clinical orientation. Dr. Lucas and his colleagues have assembled a practical guide using case presentations to make this very technical and complicated material attractive to the orthopaedic resident and practitioner. This "user-friendly" text is further enhanced by well integrated chapters covering all the basic materials and the latest information of this rapidly evolving field. Each case presentation is followed by a detailed, but easily understandable explanation of the biomechanical principles involved and includes protocols for treatment. A must-have for orthopaedic residents and practitioners.

Edited by a leading social work authority and a master CBT clinician, this first-of-its-kind handbook provides the foundations and training that social workers need to master cognitive behavior therapy. From traditional techniques to new techniques such as mindfulness meditation and the use of DBT, the contributors ensure a thorough and up-to-date presentation of CBT. Covered are the most common disorders encountered when working with adults, children, families, and couples including: Anxiety disorders Depression Personality disorder Sexual and physical abuse Substance misuse Grief and bereavement Eating disorders Written by social workers for social workers, this new focus on the foundations and applications of cognitive behavior therapy will help individuals, families, and groups lead happier, fulfilled, and more productive lives.