By Professor Leonid M. Brekhovskikh, Dr. Oleg A. Godin (auth.)
This monograph is dedicated to the systematic presentation of the speculation of sound wave propagation in layered constructions. those constructions may be man-made, reminiscent of ultrasonic filters, lenses, surface-wave hold up traces, or common media, akin 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 fairly thoroughly within the booklet by means of L. M. Brek hovskikh, Waves in Layered Media, the English model of the second one version of which was once released by way of educational Press in 1980. because of growth in experimental and laptop know-how it has turn into attainable to research the impression of things equivalent to medium movement and density stratification upon the propagation of sound waves. a lot consciousness has been paid to propagation conception in near-stratified media, Le. , media with small deviations from strict stratification. attention-grabbing 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 study teams engaged within the examine of sound propagation has quite accelerated. for that reason, the looks of a brand new precis overview of the sphere of acoustics of layered media has turn into hugely fascinating. when you consider that Waves in Layered Media grew to become rather well known, we have now attempted to keep its optimistic good points and normal structure.
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Extra info for Acoustics of Layered Media I: Plane and Quasi-Plane Waves
16) it will be -V for the wave incident from below at the angle 81. In particular, if 8 is the angle of complete transmission for the wave incident from above [V(8) = 0], then 81 is that angle for the wave incident from below. Such a simple role does not hold for the transmission coefficient W, however. 18), is invariant when one reverses the propagation direction of the wave (8, fl, and C are the refraction angle, density, and sound velocity of the medium where the refracted wave propagates). 3 and 9) that the pressure at the boundary in the refracted wave is 1+V times that in the incident one.
We see that only if Ql = 0 does the sound field become aplane wave as z - t - 00. 4). 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).
6 Moving Layers. Impedanee of Harmonie Waves in Moving Media The problem of plane-wave reflection from moving discretely inhomogeneous layered media includes much more interesting physical phenomena than the case of media at rest. In particular, the reflection and transmission coefficients depend not only on the incidence angle but also on the orientation of the incidence plane relative to the flow direction. Moreover, in some cases as we shall see below, the reflection coefficient may be greater than unity.