Read e-book online 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 buildings. those constructions might be man-made, comparable to ultrasonic filters, lenses, surface-wave hold up strains, or traditional media, equivalent 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 subject matters were taken care of really thoroughly within the publication through L. M. Brek­ hovskikh, Waves in Layered Media, the English model of the second one variation of which was once released through educational Press in 1980. because of development in experimental and machine know-how it has turn into attainable to investigate the effect of things comparable to medium movement and density stratification upon the propagation of sound waves. a lot consciousness has been paid to propagation thought in near-stratified media, Le. , media with small deviations from strict stratification. attention-grabbing effects have additionally been received within the fields of acoustics which were formerly thought of to be "completely" built. For those purposes, and in addition due to the influx of researchers from the comparable fields of physics and arithmetic, the circle of people and study teams engaged within the examine of sound propagation has quite accelerated. accordingly, the looks of a brand new precis assessment of the sphere of acoustics of layered media has turn into hugely fascinating. for the reason that Waves in Layered Media grew to become relatively well known, we have now attempted to keep its optimistic good points and normal structure.

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

Example text

It is shown in Sect. 2 that the horizontal component of the wave vector is the same all over the layered medium. 10). 2P2! 6) 2 - COS()2 is the impedance of the plane wave in medium 2. 4) is equal to the unknown input impedance of the layer. 7) which expresses the input impedance at the boundary under consideration in terms of that at adjacent boundary. 8) is the phase advance of the plane wave passing through the layer. 9) In the particular case when impedances of the surrounding half-spaces are equal (Zl = Z3), Bq.

7) we obtain for the input impedance 29 Zin = Zt. 1). Thus, the half-wave layer has no effect on the incident wave: the reftection coefficient is just the same as if media 3 and 1 were in direct contact with one another. In particular, if media 3 and 1 have the same impedances (Zl = Z3), the reftection coefficient is zero. This property of a half-wavelength layer can be used for the construction of frequency or direction filters. 19) (with some I) it will pass through the filter. In the second case an ensemble of waves of the same frequency but different incident directions impinges on the filter.

2 that the horizontal component of the wave vector is the same all over the layered medium. 10). 2P2! 6) 2 - COS()2 is the impedance of the plane wave in medium 2. 4) is equal to the unknown input impedance of the layer. 7) which expresses the input impedance at the boundary under consideration in terms of that at adjacent boundary. 8) is the phase advance of the plane wave passing through the layer. 9) In the particular case when impedances of the surrounding half-spaces are equal (Zl = Z3), Bq.

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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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