Huygens’ principle with Green’s functions or with focusing functions?
K. Wapenaar (TU Delft - Civil Engineering & Geosciences)
J. Brackenhoff (TU Delft - Civil Engineering & Geosciences)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
Huygens’ principle states that all points on a wavefront act as secondary sources which emit spherical waves. A new wavefront arises as the envelope of these waves. In the traditional form, the secondary waves in Huygens’ principle are described by dipole Green’s functions. This works well for forward wave field extrapolation. However, for inverse wave field extrapolation through inhomogeneous media (with time-reversed Green’s functions), internal multiple reflections are not properly handled. We discuss a modified version of Huygens’ principle, in which the Green’s functions are replaced by focusing functions. It appears that this modified version not only accounts for internal multiples but also for refracted waves. The focusing functions can be derived from the reflection response with the Marchenko method for full (i.e., non-decomposed) focusing functions.