A complete energy conservation correction for the elastic parabolic equation

Abstract

A complete energy conservation correction is derived to improve the accuracy of the elastic parabolic equation for range-dependent problems. The correction is complete in the sense that it is valid for problems involving a broad spectrum of horizontal wave numbers. It is a linear condition that associates the incident and transmitted fields on a vertical interface with arrays of point sources having the appropriate energy flux densities. It is a generalization of a complete energy conservation correction for the acoustic parabolic equation [J. Acoust. Soc. Am. 94, 975–982 (1993)].