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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.

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.

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.

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.

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This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro­ magnetic materials. Since these volumes were designed to be relatively self­ contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech­ niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli­ cations to electromagnetic wave propagation under a variety of conditions.

This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro­ magnetic materials. Since these volumes were designed to be relatively self­ contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech­ niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli­ cations to electromagnetic wave propagation under a variety of conditions.

T. Plotner, The Night Sky Companion, DOI 10. 1007/978-0-387-79509-6_1, 1 Springer ScienceþBusiness Media, LLC 2009 2 TheNightSkyCompanion Welcome,fellowtravelertothestars!Forthenextyearwewilltakeajourneytogetheracrossthenight sky. In these pages you will find lunar features, planets, meteor showers, single and multiple stars, open and globular clusters, as well as distant galaxies. There will be astronomy history to explore, famous astronomers to meet, and science to learn. You’ll find things here for those who enjoy stargazing with just their eyes, binoculars, or even the largest of telescopes! Although these observing tips are designed with all readers in mind, not everyone lives in the same time zone―or the same hemisphere―and certainly no one has clear skies every night. But no matter where you live, or who you are, it is my hope that somewhere here you find something of interest to keep you looking up! LearningtheNightSky If you are new to astronomy, it might seem difficult to learn all those stars. Relax! It’s much easier than you think. Just like moving to a new city, everything will seem unfamiliar at first, but with a little help from some maps, you’ll soon be finding your way around like a pro. Once you become familiar with the constellations and how they appear to move across the night sky, the rest is easy. If you do not have maps of your own, try visiting your local library or one of many online sites thatcangeneratethem. Theygiveobjectpositionsingreatdetail,andmosthaveakeyofGreekletters to help you understand star hop instructions.

T. Plotner, The Night Sky Companion, DOI 10. 1007/978-0-387-79509-6_1, 1 Springer ScienceþBusiness Media, LLC 2009 2 TheNightSkyCompanion Welcome,fellowtravelertothestars!Forthenextyearwewilltakeajourneytogetheracrossthenight sky. In these pages you will find lunar features, planets, meteor showers, single and multiple stars, open and globular clusters, as well as distant galaxies. There will be astronomy history to explore, famous astronomers to meet, and science to learn. You’ll find things here for those who enjoy stargazing with just their eyes, binoculars, or even the largest of telescopes! Although these observing tips are designed with all readers in mind, not everyone lives in the same time zone―or the same hemisphere―and certainly no one has clear skies every night. But no matter where you live, or who you are, it is my hope that somewhere here you find something of interest to keep you looking up! LearningtheNightSky If you are new to astronomy, it might seem difficult to learn all those stars. Relax! It’s much easier than you think. Just like moving to a new city, everything will seem unfamiliar at first, but with a little help from some maps, you’ll soon be finding your way around like a pro. Once you become familiar with the constellations and how they appear to move across the night sky, the rest is easy. If you do not have maps of your own, try visiting your local library or one of many online sites thatcangeneratethem. Theygiveobjectpositionsingreatdetail,andmosthaveakeyofGreekletters to help you understand star hop instructions.