Abstract
Complex Rayleigh wave modes satisfying the radiation condtion are investigated in this paper. The relationship between the complex Rayleigh wave modes and the spectral representation of Green's function for elastic layered half space is mainly focused on the investigation. The decomposition form of the residue of Green's function at the complex Rayleigh poles are derived in terms of eigenfunctions, which are found to be the same as the decomposition form of the normal modes. The complex Rayleigh wave modes are found to express non-propagating waves. Numerical calculations are carried out to clarify the distribution of complex Rayleigh poles in the permissible Riemann sheets. The effects of the complex modes on the complete form of Green's function are examined based on the numerical calculations.
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