3D Modeling of Acoustic Green's Function in Layered Media with Diffracting Edges

We present the results of 3D acoustic Green's function modeling using the multiple tip wave superposition method (MTWSM) in a layered medium with interfaces containing diffracting edges. The MTWSM algorithm is based on an explicit representation of the scattered wavefield as the superposition of events multiply reflected/transmitted in accordance to their wavecodes. Each event is computed using high-frequency uniform asymptotic approximations of the Kirchhoff-type surface integral by superposition of tip-diffracted waves and convolution-type reflection and transmission operators in the form of effective coefficients. We show that the analytical technique is capable of reproducing complex wave phenomena such as caustics, edge diffractions and head waves at curved interfaces. We also compare the wavefield modeled by the MTWSM algorithm with that of asymptotic ray theory, diffraction theory and finite-differences