Partial derivatives of dispersion curves for higher modes of love waves in a single-layered medium

Abstract

The partial derivatives of the dispersion curves have been calculated by means of a method founded on the theorem of implicit functions, which was described in[1]. The partial derivatives of the dispersion curves of Love waves are studied in detail for a model of a single-layered medium. Analytical formulae for the partial derivatives are used for deriving the limits of these partial derivatives when the period approaches zero or the critical period.