Coupling strategies between asymptotic and numerical models with application to ultrasonic non-destructive testing of surface flaws

Modeling for ultrasonic testing is an important tool in industrial sectors concerned with advanced inspection methods. A significant amount of effort has been directed to building hybrid methods, which try to encompass advantages of both asymptotic and numerical methods. In our work, we consider a hybrid coupling method based upon reciprocity relations. By deriving specific formulations for the incident and diffracted fields, we apply this strategy to the case of surface and near-surface flaws. We illustrate this coupling strategy in some canonical 2D and 3D ultrasonic testing configurations.