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A method for the separation of interfering surface waves and the computation of their dispersion

AIR FORCE CAMBRIDGE RESEARCH LABORATORIES WAVE PROPAGATION BRANCH, HANSCOM AIR FORCE BASE, MASSACHUSETTS 01731

Abstract

A practical technique for separating two surface waves that interfere, producing beats, is accomplished by a generalized least-squares inversion. A sinusoid consisting of a polynomial phase function is fit via least squares to both the envelope and the carrier wave forms of a digitized signal. The phase functions of the two interfering waves are then determined via a modulation equation. The derivative with respect to time of each phase function yields the frequency dispersion curves. Determinations of both group- and phase-velocity dispersion curves are discussed and a numerical example of the technique is given.