This paper derives a solution of the seismic response of an acoustic medium with 2-D geometry using Kirchhoff's representation of the wavefield. The medium can be composed of several layers, separated by curved interfaces.The difference between the approach presented here and other Kirchhoff-type solutions of the multilayer case is that we take care of all diffractive effects during wave propagation, including those during transmission from source to reflector and from reflector to receiver.A crucial point in this method is the replacement of the Kirchhoff-Helmholtz formula, that requires both the knowledge of the wavefield and its directional derivative at the medium's interfaces, by the Rayleigh-Sommerfeld representation where only the wavefield must be known o r approximated. The propagation of acoustic or elastic waves through a stack of layers with curved interfaces can then be described by a sequence of plane-wave compositions or plane-wave decompositions. This point of view implies a reinterpretation of Kirchhoff's formula, in terms of plane waves emanating from a reflector, excited by an incident wavefield.The outlined theory provides a convenient formulation for the transmission and reflection of waves in a multilayered laterally inhomogeneous medium with good accuracy as long as the radius of curvature of the boundaries clearly exceeds the dominant wavelength and if the distance between interfaces is larger than a few wavelengths.
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