Abstract
An efficient Gaussian beams summation (GBS) algorithm for tracking source excited wavefields in plane stratified media is introduced. It has two important features: (a) it involves an efficient calculation of the GB propagators, and (b) it involves rather sparse lattice of beams. For (a) we approximate the medium using layers with constant wavespeed gradient, and derive an efficient recursive algorithm for tracking the GB through such medium. This model not only reduces the number of layers, and thereby the algorithm complexity, in comparison with the conventional uniform layers model, but it also eliminates the reflection artifacts at layers interfaces. Property (b) is achieved by determining the beam expansion parameters for an efficient discretization of the source-excited beam spectra using a sparse lattice of beams. The algorithm has been validated and calibrated via thorough numerical comparisons with closed form ray solutions for source-excited fields in layered media. Perfect agreement between these independent solutions has been obtained in regions where the ray solution is valid, but the beam formulation also provided smooth and physically meaningful solutions in caustic regions where the ray solution fails.
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