Modeling of Transducer Fields in Inhomogeneous Anisotropic Materials Using Gaussian Beam Superposition
This article describes a three-dimensional Gaussian beam model for calcuating transducer-generated ultrasonic wave fields in inhomogeneous anisotropic media. The model is based on a formulation presented recently for homogeneous anisotropic materials. The inhomogeneity is modeled by dividing the material into several homogeneous layers, the approach accounting for the propagation through the various layers and the reflection/refraction processes at the interfaces. In thus calculates ultrasonic field patterns, including proper amplitude information and allows a quick evaluation of the sound filds. Application of the model in view of ultrasonic nondestructive testing of layered composite material and of austentic steel components is addressed. In the latter case, examples are given for various weldment structures, wherein ultrasonic inspection using commercial angle beam transducers is of interest.