A geometrical approach to time evolving wave fronts

3Citations
Citations of this article
12Readers
Mendeley users who have this article in their library.

Abstract

The parameter that defines the ray tracing equations in the direct geometrical approach is the product of the radius of curvature of the wave front by the velocity on the wave front (RV). To show this, we derive motion equations for the centre and the radius of curvature of an expanding wave front. The continuity of RV along rays implies Snell's Law. For constant velocities the equation for the radius of curvature reduces to the original Huygens' Principle. The variable RV can be computed during ray tracing and used to determine the local radius of curvature, which in turn can be used in geometrical spreading, amplitude corrections and structure interpretation. © 2008 The Authors Journal compilation © 2008 RAS.

Cite

CITATION STYLE

APA

Madrid, J. A. (2008). A geometrical approach to time evolving wave fronts. Geophysical Journal International, 172(3), 1117–1122. https://doi.org/10.1111/j.1365-246X.2007.03699.x

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free