Abstract
In this note, we show that the Rayleigh ansatz is quite good and that the reasons for the failure lie elsewhere. They are of numerical nature. Our purpose in this note is to contribute to a better understanding of this powerful technique. In what follows, we consider the problem of incident plane SH waves upon a semicircular canyon on the surface of a half-space and write the Trifunac (1973) exact solution as an integral in the horizontal wavenumber. The diffracted part of the solution is represented with explicit downgoing waves plus inhomogeneous waves. This makes clear that upgoing diffracted energy admits a representation in terms of inhomogeneous waves only.
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