Form function dependence at low ka

Abstract

The form function of an infinite cylindrical shell has been solved and previously studied as a function of ka, shell thickness, and material parameters, e.g., density, longitudinal velocity, and shear velocity. However, at values of ka below 1.5, physical intuition suggests that the principal motions involved in scattering are uniform compression and undeformed body motion, the monopole and dipole terms, respectively. The backscattered form function at a fixed value of ka was therefore computed as a function of compressibility and mass of the cylinder, with thickness and one material parameter held constant. The effects of varying the remaining constant, as well as the effect of higher‐order modes, were also found.