Abstract
As is seen from Chap. 3, exact solutions of the problem of plane sound wave reflection from a layered medium exist only for a few cases. Although the study of these cases is quite valuable and reveals a number of important regularities, it does not eliminate the problem of the study of reflection of acoustic waves from layers in which the medium parameters have an arbitrary dependence on the coordinate z. It is also important to note that in real geophysical situations the parameters of the medium do not remain constant but undergo both systematic and fluctuational changes as time passes. It is necessary to know how these changes affect the reflection coefficient. As shown in Sect. 6.3, even small variations of the medium parameters can have a significant effect on the reflection coefficient. A number of results for a general layered inhomogeneous medium were obtained in [10.1–18]. The exposition of this chapter is based on works of the present authors [10.19–22].
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Brekhovskikh, L.M., Godin, O.A. (1990). Sound Reflection from a Medium with Arbitrarily Varying Parameters. In: Acoustics of Layered Media I. Springer Series on Wave Phenomena, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52369-4_10
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