Waves in Layered Media

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Series: Applied Mathematics and Mechanics 16

ISBN: 978-0-12-130560-4

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Pages: 1-503/436

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L.M. BREKHOVSKIKH (Eds.)978-0-12-130560-4

The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.

Table of contents :
Content:
Applied Mathematics and Mechanics: An International Series of Monographs
Page ii
FRANÇOIS N. FRENKIEL, G. TEMPLE

Front Matter
Page iii

Copyright page
Page iv

Translator’s Preface to Second Edition
Page ix
R.T. BEYER

Preface to Second Edition
Page xi
L. BREKHOVSKIKH

Preface to First Edition
Page xiii
L. BREKHOVSKIKH

CHAPTER I – Plane Waves in Discretely Layered Media
Pages 1-129

CHAPTER II – Some Applications of the Theory of Wave Propagation in Discretely Layered Media
Pages 130-160

CHAPTER III – Waves in Continuously Layered Media
Pages 161-224

CHAPTER IV – Reflection and Refraction of Spherical Waves
Pages 225-298

CHAPTER V – The Field of a Point Source of Waves in Layered Inhomogeneous Media
Pages 299-371

CHAPTER VI – The Field of a Point Source in a Continuously Layered Medium. Ray Treatment
Pages 372-408

CHAPTER VII – Exact Theory of Waveguide Propagation in Continuously Layered Media. Normal Modes
Pages 409-440

CHAPTER VIII – Propagation of Waves in a Waveguide that is Inhomogeneous along its Route
Pages 441-462

CHAPTER IX – Antiwaveguide Propagation of Waves in Continuously Layered Media
Pages 463-478

References
Pages 479-489

Supplementary Bibliography
Pages 490-495

Index
Pages 497-503

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