Abstract
A theoretical study was made on the scattering of Rayleigh waves which are incident to a rectangular rough surface. The partition of the energy flux of the waves scattered by a mountain was obtained. It was then revealed that resonant standing Rayleigh waves occurring along the top surface of the rectangular mountain enhance the transmittivity of incident Rayleigh waves when the mountain is low (L/B_??_0.7) while suppressing the transmittivity when the mountain is high (L/B_??_0.8), where L and B are the height and halfwidth of the mountain. When the mountain is high, resonant standing Rayleigh waves occur along the vertical cliff in the case of kB<1 (k: wave number of S waves). The generation of these standing waves remarkably suppresses the transmittivity of incident Rayleigh waves through the mountain. As for the directivity of the scattered body waves (case of L/B=0.5), they are transmitted away, mainly by S waves, vertically downwards when kB_??_1 and toward the leeward quarter space when kB>1.
