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

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 constructions. those constructions may be man-made, equivalent to ultrasonic filters, lenses, surface-wave hold up strains, or average media, corresponding 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 handled fairly thoroughly within the e-book via 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. as a result of development in experimental and laptop know-how it has develop into attainable to investigate the impression of things akin to medium movement and density stratification upon the propagation of sound waves. a lot awareness has been paid to propagation concept in near-stratified media, Le. , media with small deviations from strict stratification. attention-grabbing effects have additionally been got within the fields of acoustics which were formerly thought of to be "completely" built. For those purposes, and in addition as a result of the influx of researchers from the comparable fields of physics and arithmetic, the circle of individuals and examine teams engaged within the examine of sound propagation has relatively accelerated. hence, the looks of a brand new precis overview of the sector of acoustics of layered media has turn into hugely fascinating. in view that Waves in Layered Media turned really well known, now we have attempted to hold its optimistic positive aspects and normal structure.

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

Sample text

1, Sect. 27) . 16), therefore we shall confine the discussion now to cases where 1 i= - 2. If there are no other limitations on the values of I' then the choiee f = (izi + ZI)b pennits us to treat the case of nonna! incidence only. 14) with b = {f + 2)/2 Q= , I =0 , -4i(2 + I) -1 zl'Y/2 0: 1/2 m . 28) The arbitrariness of Q allows consideration of a wave of any frequency. 29) is necessary. 29), are the same equations that were derived in [Ref. 5, Chap. 3, Sect 9]. Example B. ~argq

Let us consider some particular cases. C We see that c, c}, e, and [>1 enter into these expressions only as products [>C and e1C}, called the wave or characteristic impedances. 19) If n :1= 1, (J -+ 7r/2 (grazing incidence) Eqs. 16, 17), yield V - t -1, W -+ O. If (J satisfies the equation m cos (J = (n 2 - sin2 (J)lfl, the refteetion eoeffieient becomes zero. This is the case of a eompletely transparent interface. 20) The complete transpareney angle is real if (m2 - n 2 )/(n 2 - 1) > O. This oceurs when 1 < n < m or when 1 > n > m.

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). If the incidence angle exceeds the critical angle 8, total reflection takes place.

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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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