Uniform Asymptotic Expansion of the Green's Function for the Two-dimensional Acoustic Equation
, by Mathew J. Yedlin
A uniform asymptotic expansion in the frequency domain is derived for the
Green's function of the two-dimensional acousit equation. The expansion is
uniform in that it is valid near the source region. It is not valid for
caustics, which can arise due to rapid changes in the gradients of the
material parameters - the density and bulk modulus. The Green's function
which is obtained describes only the body wave arrivals in a smoothly
varying whole space. Other wave types, such as surface waves or head
waves are not included in this expansion.
STANFORD