Love waves in multilayered elastic half-space: An improved orthogonal polynomials method

Maradudin firstly proposed Laguerre orthogonal polynomial to solve the acoustic waves in homogeneous semi-infinite wedges in 1972. However, the approach can deal with the multilayered structures only when there is no significant change for the material properties of two adjacent layers. In order to overcome the drawbacks of the conventional polynomial approach, this paper proposed an improved orthogonal polynomial method to investigate the propagation of Love waves in a half-space. Comparison with the available reference results confirmed the correctness of the improved polynomial approach. The dispersion curves of Love waves in a multilayer elastic half-space are illustrated.