  It is shown that surface waves with twelve different velocities in the cases
of different magneto-electrical boundary conditions can be guided by the
interface of two magneto-electro-elastic half-spaces. The plane boundary of one
of the half-spaces is clamped while the plane boundary of the other one is free
of stresses. The twelve velocities of propagation of these surface waves and
the corresponding existence conditions are obtained in explicit forms. It is
shown that the material coefficients of the half-space which has a clamped
boundary have only quantitative influence on the surface waves and that the
existence and absence of the possibility for the surface waves to be guided by
the interface is determined by the material coefficients of the half-space
which has a free boundary. The number of the possible different surface wave
velocities decreases from 12 to 2 when the magneto-electro-elastic materials
are changed to piezoelectric materials.

General Physics;Classical Physics;Optics