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We investigate the behavior of scattering waves generated in the ground with topographic irregularity in relation to eigenmodes derived from Rayleigh wave characteristic equation. The pole of leaking mode, which is derived from the characteristic equation, is on a Riemann sheet with which are not satisfied the radiation condition. The behavior of the leaking mode can be interpreted as relation between the incidence and reflection of P wave or SV wave. The responses of surface displacement obtained from the wave propagation analysis by boundary element method are expanded in a series of components whose amplitude are predominantly large in terms of the wavenumber. The influence of leaking mode appears in a Riemann sheet which is satisfied the radiation condition across a branch cut. It is found that Rayleigh wave is main component of the scattering wave and the ground response near the edge is influenced considerably from the leaking mode.