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

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

This monograph is dedicated to the systematic presentation of the idea of sound­ wave propagation in layered constructions. those constructions might be man-made, equivalent to ultrasonic filters, lenses, surface-wave hold up traces, or traditional media, reminiscent of 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 themes were handled particularly thoroughly within the ebook by means of L. M. Brek­ hovskikh, Waves in Layered Media, the English model of the second one version of which used to be released via educational Press in 1980. as a result of development in experimental and machine expertise it has develop into attainable to investigate the impact of things akin to medium movement and density stratification upon the propagation of sound waves. a lot realization has been paid to propagation conception in near-stratified media, Le. , media with small deviations from strict stratification. fascinating effects have additionally been bought within the fields of acoustics which have been formerly thought of to be "completely" constructed. For those purposes, and in addition as a result influx of researchers from the comparable fields of physics and arithmetic, the circle of people and examine teams engaged within the examine of sound propagation has fairly accelerated. for this reason, the looks of a brand new precis overview of the sphere of acoustics of layered media has develop into hugely fascinating. on the grounds that Waves in Layered Media grew to become relatively renowned, we have now attempted to continue its optimistic gains and common structure.

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

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3) we have sin (h = k3k:;1 sin ()3 = C2c31 sin ()3. , ()2 is a complex an~le and the plane waves in the layer are inhomogneous. Here cos ()2 = ± i(c~c3 sin2 ()3 - 1)1/2. 15) the plus sign must be chosen in front of i. 8) are purely d-+oo imaginary: 30 Z2 = -i1Z21 ' = il

15) the plus sign must be chosen in front of i. 8) are purely d-+oo imaginary: 30 Z2 = -i1Z21 ' = il

7) we see that impedance ZI = -iwetlp. is purely imaginary in this case. 14a). Such a ftux in the z-direction is zero, hence the energy carried by the incident wave returns to the upper medium completely by the reftected wave. It is instructive to discuss the behavior of the reftection coefficient V on its complex plane. By letting the abscissa represent the real part and the ordinate represent the imaginary part of V, for various relationships between the parameters of the two media we obtain curves such, as those shown in Fig.

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