The principle of constructive ray interference is used to derive the dispersion equation for SH-wave propagation in horizontal N-layered laterally heterogeneous media. This frequency equation takes into account an exponential variation of velocity and rigidity in lateral directions. In the method, the dispersion equation is derived by finding the phase shift along the ray trajectory and at different interfaces due to refraction and reflection. The dispersion curves for a two-layered model are presented to show the effect on Love-wave propagation. The analysis may be useful in investigating the effect of lateral inhomogeneities on Love-wave propagation and in investigating and delineating anomalous zones of the upper mantle.

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