Waves in Layered Media, 2nd Edition (Applied Mathematics and Mechanics, Vol. 16) (English and Russian Edition)

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. 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 Waves in Layered Media discusses different theories about the relationship between waves and media. The book specifically covers several factors that can affect the behavior and formation of various kinds of waves in different types of media. Comprised of nine chapters, the book establishes the fundamentals by first tackling simplest concepts, such as the behavior plane wave and discretely layered media. The succeeding chapters cover much more complex ideas, such as the refraction and reflection of waves, spherical wave, and wave in inhomogeneous media. The book will be a great asset to researchers whose work involves acoustics, or to professionals whose line of work involves sound waves. L. M. Brekhovskikh ; Translated By Robert T. Beyer. Includes Index. Bibliography: P. 490-495.