Wak. Deutsch et al., Calculation and measurement of scattering coefficients for surface-breaking cracks sonified by a focused array, RES NOND EV, 12(1), 2000, pp. 1-15
A simulation of a focused beam of surface wave motion generated by a line a
rray of surface wave transducers is used to calculate the field scattered b
ack from a surface-breaking crack. The backscattered field is expressed in
terms of a scattering coefficient, which is derived from the reciprocal ide
ntity for elastodynamic states, and which is calculated numerically by usin
g the Kirchhoff approximation. In an earlier work the validity of the focus
ed beam simulation has been verified. In this paper, the theoretical result
s for the backscattered field are compared with measurements for two crack
sizes, one of which is used for calibration.