An Analytical Solution to the Sound Pressure Field Resulting from a Plane Wave Incident on an Elliptic Cylinder and a Right Circular Cylinder

摘要

The purpose of this memorandum is to describe an analytical method for obtaining the sound pressure field due to a plane wave incident on a complex consisting of an infinite length elliptical ('nearly straight') baffle and an infinite length right circular cylinder. The problem is formulated so that the baffle shields the cylinder from the incident plane wave. The model used for this boundary value problem is a generalization of a previous concentric baffle model used for studying the interaction of the sonar baffle and transducer with screw noise. The analytical results are presented in a form suitable for computing the total sound pressure at the transducer (cylinder) face as well as the incident and reflected portions of the field solution there.