Professor Leonid M. Brekhovskikh, Dr. Oleg A. Godin (auth.)'s Acoustics of Layered Media I: Plane and Quasi-Plane Waves PDF

By Professor Leonid M. Brekhovskikh, Dr. Oleg A. Godin (auth.)

ISBN-10: 3540647244

ISBN-13: 9783540647249

ISBN-10: 3642523692

ISBN-13: 9783642523694

This monograph is dedicated to the systematic presentation of the speculation of sound­ wave propagation in layered constructions. those constructions may be man-made, similar to ultrasonic filters, lenses, surface-wave hold up traces, or usual media, comparable to the sea and the ambience, with their marked horizontal stratification. A comparable challenge is the propagation of elastic (seismic) waves within the earth's crust those issues were taken care of relatively thoroughly within the e-book via L. M. Brek­ hovskikh, Waves in Layered Media, the English model of the second one version of which used to be released by means of educational Press in 1980. as a result of development in experimental and laptop know-how it has develop into attainable to investigate the effect of things corresponding to medium movement and density stratification upon the propagation of sound waves. a lot recognition has been paid to propagation thought in near-stratified media, Le. , media with small deviations from strict stratification. fascinating effects have additionally been got within the fields of acoustics which have been formerly thought of to be "completely" constructed. For those purposes, and in addition as a result of the influx of researchers from the comparable fields of physics and arithmetic, the circle of folks and examine teams engaged within the examine of sound propagation has really improved. accordingly, the looks of a brand new precis assessment of the sector of acoustics of layered media has develop into hugely fascinating. considering the fact that Waves in Layered Media grew to become particularly well known, now we have attempted to keep its confident gains and basic structure.

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Extra info for Acoustics of Layered Media I: Plane and Quasi-Plane Waves

Example text

Indeed, setting Z~) = Zt. 1) wbere the following notations are used 8j = tan

It does not depend on horizontal coordinates, time, or the amplitude of the wave. Furthermore it is continuous across the interfaces between layers. 7). 24) we obtain . 4a) = -IWeo op/o( , or in ordinary coordinates Z = . -IWe ß2 P oploz . 3) is valid for waves of any physical nature provided that the corresponding wave equation is written as a one dimensional Helmholtz equation which does not contain the derivatives of the media parameters in the coefficients. The impedance of a harmonie wave for moving media has a clear physical meaning.

The sound field decreases exponentially at large Izl in the lower medium if > k~. The critical incidence angle is () ::: 8 == arc sin (kikI). In the opposite case, when < k~, the transmitted wave carries away part of the energy of the incident wave. 2ln Izl is present at large Izl, which varies slowly when Izl varies. At the critical incidence angle (when k2) and large Iz I, the field in the lower medium is either a plane wave with amplitude independent of z (if Q1 > 0) or a wave with exponentially decreasing amplitude (if Ql < 0).

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Acoustics of Layered Media I: Plane and Quasi-Plane Waves by Professor Leonid M. Brekhovskikh, Dr. Oleg A. Godin (auth.)

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