Abstract
We consider a two-layer elastic waveguide structure such that its one layer is unbounded in the lateral direction, and the standard boundary conditions are stated on the boundary of another one. We study several kinds of eigenwaves for this structure. In general, they have a complex-valued longitudinal propagation constant (the spectral parameter). On the base of the Green formula we introduce the scalar product of two waves and prove that the system of eigenwaves of the semiopen elastic waveguide is orthogonal. We construct families of waves which belong to discrete and continuous parts of the spectrum.
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