I appreciate Goto and Sawada’s (Goto and Sawada, 2007) interest in my article (Savage, 2004). After reading their comment, I agree that my first attempt to provide an exact solution for the effects of topography on free Rayleigh waves is incorrect because the conformal mapping function, fk(wk), does not satisfy the Cauchy–Riemann equations. Because I am currently working on this problem with the hope of finding a correct solution, I am most interested in Goto and Sawada’s or others’ ideas regarding an appropriate conformal mapping approach.

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