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 buildings. those constructions might be man-made, equivalent to ultrasonic filters, lenses, surface-wave hold up traces, or ordinary media, equivalent to the sea and the ambience, with their marked horizontal stratification. A similar challenge is the propagation of elastic (seismic) waves within the earth's crust those themes 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 via educational Press in 1980. because of development in experimental and desktop expertise it has turn into attainable to research the impact of things equivalent to medium movement and density stratification upon the propagation of sound waves. a lot awareness has been paid to propagation conception in near-stratified media, Le. , media with small deviations from strict stratification. fascinating effects have additionally been acquired within the fields of acoustics which were formerly thought of to be "completely" built. For those purposes, and likewise as a result influx of researchers from the similar fields of physics and arithmetic, the circle of folks and learn teams engaged within the learn of sound propagation has particularly extended. hence, the looks of a brand new precis evaluation of the sector of acoustics of layered media has turn into hugely fascinating. on the grounds that Waves in Layered Media grew to become fairly renowned, now we have attempted to preserve its optimistic good points and basic structure.
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Additional resources for Acoustics of Layered Media I: Plane and Quasi-Plane Waves
Curves of constant retlection coefficient as a function of the incidence angle of the sound wave and relative tlow velocity of media with equal sound speeds. The shaded region is the region of total retlection, in which V is complex. ) 3. Monochromatic Plane-Wave Reflection from Continuously Layered Media Stratification of continuously layered media is defined by the dependence of the density e(z), the sound velocity c(z), and in the case of moving media also of the flow velocity vo(z) on the vertical coordinate z.
Quarter-wave transmission layer. 20) For normal incidence and 1 = 0 this means that d = >'z/4. 7) yields Zin = Zj/Zl for the input impedance. 1) complete transmission takes place for Z2 = J Z I Z3 . 22) Thus, the reftection of a monochromatic wave at the boundary of two arbitrary media can be completely eliminated by placing a quarter-wave layer between them which has an impedance equal to the geometric mean of the impedances of the two media. 2]. 5 Penetration of a Wave Through a Layer We assurne that the sound velocity in the layer is greater than that in the medium from which the wave is incident.
Indeed, setting Z~) = Zt. 1) wbere the following notations are used 8j = tan