Floquet-Bloch Theory and Its Application to the Dispersion Curves of Nonperiodic Layered Systems

Figure 1

An infinite homogenous isotropic and elastic layer with thickness as part of an infinite 3D layer under plain strain consideration (a). Typical deformation for the symmetric and antisymmetric modes (b) and the dispersion curves in representation, for a given thickness , P and S velocities and , obtained with searching root algorithm (c). The parts marked with dashed boxes and the intersection points between modes present difficulties with typical searching root algorithms.

(a)

(b)

(c)