Computation of the low-frequency interference waves of the SH-type in the generalized Love problem is considered. The model of the medium consists of the thin elastic layer, the thick layer and the half-space. The layers and the half-space are in a rigid contact with each other. It is assumed that the waves pass through the thick layer twice, there and back. A new method suggested by G. I. Petrashen for computation of wave fields allows us to compute the fields of the SH-waves and to make some conclusions concerning its behavior. The computations are considered for two cases $\gamma<1$ and $\gamma>1$ where $\gamma$ is a ratio of the velocities in the thin and the thick layers. In both cases, the thin layer essentially distorts a signal transmitted deep into the medium.