f Ultrasonic - modelling and finite difference calculation: reflections from a randomly grooved interface

This study utilizes ultrasonic water tank modeling to examine the three-dimensional scattering phenomenon from a random set of deeply cut parallel grooves, designated as a "random diffraction grating," and compares this with theoretical results obtained from two-dimensional finite difference calculations. The model in all cases is a 30 x 30 x 15 cm aluminum block submerged in a water tank. The block's upper interface consists of parallel "V" shaped grooves, each with a constant depth of 3 mm and a lower acute angle of 60 degrees. The grooves measure about one-third the center wavelength. Spatially, they have a Gaussian distribution with a mean of 1 cm and a standard deviation of 3 mm. The reference model has a smooth surface .