Focusing of Multiple Acoustic Edge Waves Diffracted at a Convex Body of Revolution with a Flat Base

This chapter focuses on multiple acoustic edge waves diffracted at a convex body of revolution with a flat base. It analyses the field generated by the total scattering sources. The first-order (primary) edge waves excited directly by the incident wave are determined by the integral expression applied to the circular edge. The total scattered field on the focal line also includes the reflected rays in front of the object (z < 0) and the shadow radiation behind the object (z > 0). This approximation for the scattered field actually represents an incomplete asymptotic expansion, because it includes only the first term in the individual asymptotic expansion for each multiple edge wave. The higher-order edge waves arise due to the slope diffraction of waves running along the flat base of the scattering object.