Multi-Gaussian Beam Modeling for Multilayered Anisotropic Media, I: Modeling Foundations

A model is developed for the propagation and reflection=transmission of Gaussian beams in multilayered media where the layer materials can be general anisotropic, homogeneous elastic solids and the layer interfaces can be curved surfaces. It is shown that the Gaussian beams can be simply described in a set of slowness coordinates and that the complications arising from the multiple layers can be efficiently addressed through the use of an ABCD matrix approach. A multi-Gaussian beam model for an ultrasonic piston transducer radiating into very complex media is then developed by superimposing a small number of these propagating Gaussian beams.

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