Ultrasonic Transducer Fields Modeled with a Modular Multi-Gaussian Beam and Application to a Contact Angle Beam Testing

A modular Gaussian beam model is developed to simulate some ultrasonic testing configurations where multiple interfaces are involved. A general formulation is given in a modular matrix form to represent the Gaussian beam propagation with multiple interfaces. The ultrasonic transducer fields are modeled by a multi-Gaussian beam model which is formed by superposing 10 single Gaussian beams. The proposed model, referred to as the modular multi-Gaussian beam (MMGB) model, is then applied to a typical contact and angle beam testing configuration to predict the output signal reflected from the corner of a vertical crack. The resulting expressions given in a modular matrix form is implemented in a personal computer using the MATLAB program. Simulation results are presented and compared with available experimental results.