In this paper,wave fields in layered-inhomogeneous media described bywave equation with discontinuous coefficient are discussed.Since the linear waves aresuperposable,we decompose the layered-inhomogeneous media into layered-homoge-neous media and continuous inhomogeneous media,wave fields in such two kinds of me-dia are derived by introducing the propagation operator and Riemann functionrespectively.In this way the known proof is greatly simplified.
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