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, equivalent to ultrasonic filters, lenses, surface-wave hold up strains, or normal 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 taken care of fairly thoroughly within the e-book through L. M. Brek hovskikh, Waves in Layered Media, the English model of the second one variation of which used to be released through educational Press in 1980. because of growth in experimental and machine expertise it has turn into attainable to investigate the impression of things similar 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. attention-grabbing effects have additionally been acquired within the fields of acoustics which have been formerly thought of to be "completely" built. For those purposes, and in addition as a result influx of researchers from the similar fields of physics and arithmetic, the circle of folks and study teams engaged within the learn of sound propagation has particularly improved. for this reason, the looks of a brand new precis evaluation of the sector of acoustics of layered media has turn into hugely fascinating. considering that Waves in Layered Media turned fairly renowned, now we have attempted to keep its confident gains and normal structure.
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Additional resources for Acoustics of Layered Media I: Plane and Quasi-Plane Waves
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. Consider, for example, reftection at an air-water boundary assuming normal wave incidence from the air. 14) V ~ 1. Hence, the amplitude of the pressure of the wave in water will be twice of that in the incident wave in air.
If n < 1 the funetions are monotonie at 0 ~ (J ~ S == arc sin n. Tbe refteetion eoeffieient is eomplex if S < (J < 7r/2. 14) may be written as V = m eos (J - i(sin2 (J - n 2 )lfl 2 2 n m eos (J + i(sin (J - n )1, ... 15) was also taken into aeeount. In this ease, we see that IVI = 1 and that
8). 2 and are equal to v... 15) We take the amplitude of the incident wave as unity. , for the reflection coefficient from the layer. 9 and 14). 4 Two Special Cases Half-wave layer. Let the advance in the phase of the wave over the thickness of the layer be equal to an integral number of half-periods, that is