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

Abstract

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.

Isolation of ultrasonic scattering by wavefield baseline subtraction

“…For example, an analytical model has been reported for scattering of oblique incidence shear waves from a cylindrical cavity [15]. A modular Gaussian beam model was developed to predict corner crack pulse-echo signals for an angle-beam contact transducer [16]. The distributed point source method was applied to model wave propagation for oblique incidence ultrasonic waves in an immersed plate [17].…”

Modeling Flaw Pulse-Echo Signals in Cylindrical Components Using an Ultrasonic Line-Focused Transducer with Consideration of Wave Mode Conversion

“…Later, Schmerr proposed a more complete model to predict the signals from large flaws by considering the wave field distributions over the flaw surface [9]. Recently, the development of the UMM is mainly to improve the efficiency by introducing the multi-Gaussian beam (MGB) model for planar or point-focused transducers [10,11,12,13,14]. However, since the wave beams generated by line-focused transducers are different from those of the abovementioned transducers, the modeling method cannot be directly applied when a line-focused transducer is introduced.…”

An Efficient and Accurate Method for Calculating Nonlinear Diffraction Beam Fields

“…(18) and (20)] can be tested by comparing with the exact solutions obtained from the RS integral [Eqs. (13) and (14)]. The acoustical field variable used in these equations is pressure.…”

“…Multi-Gaussian beam (MGB) models have been widely used to describe the propagation of ultrasonic beams from planar or focused transducers [12][13][14][15][16]. One of the attractive features of MGB models is that they are numerically very efficient.…”