This theoretical paper analytically predicts the existence of new surface wave in propagation direction [101] in the cubic piezoelectromagnetics. The solution for the velocity of the new wave is given in an explicit form. Such new wave possesses one real component and two purely imaginary components. This corresponds to a leaky acoustic SH-wave. However, in this case the real component does not participate in the complete displacements. As a result, the new wave can represent the new shear-horizontal surface acoustic wave (SH-SAW) for suitable boundary conditions. For the me-chanically free surface, several combinations of the following electrical and magnetic boundary conditions were used: electrically closed, electrically open, magnetically closed, magnetically open surface. This new SH-SAW can propagate with the speed slightly larger than that for the SH bulk acoustic wave coupled with both the electrical and magnetic potentials. The existence conditions for the new SH-SAW were also discussed. They can be very complicated and depend on all the material parameters. It was also discussed that the results can be true for the left-handed metamaterials. It is thought that the new SH-SAW can be produced by electromagnetic acoustic transducers (EMATs) because generation of SH-SAWs is feasible with the EMATs. This can be a problem for experimentalists working in the research arenas such as acoustooptics, photonics, and acoustooptoelectronics.
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