Spectral representation of the Love wave operator

This paper is concerned with the spectral representation of the two-dimensional Love wave operator, associated with the propagation of monochromatic SH waves in a laterally uniform layered strip or half-space. A method is presented for obtaining a complete set of proper or improper eigenfunctions belonging to the operator, in terms of which the displacement field may be represented generally. The method is illustrated by means of two-layer models of an infinite strip, overlying another infinite strip or a half-space, with constant rigidity and density within each layer.