Reconstructing the Acoustic Pressure Field Using Spheroidal Wave Functions

Abstract

A new formulation based on a prolate spheroidal coordinate was proposed to describe acoustic pressure in the acoustic field. The radiated acoustic pressures are obtained by means of an expansion of independent functions based on the prolate spheroidal coordinate system. Then the acoustic pressure in the field can be reconstructed by using some measured acoustic pressure signals in the field. The independent function of the traditional HELS is spherical function, which is most suitable for reconstructing pressures radiated a spherical source or sources with a characteristic aspect ratio x:y:z close 1:1:1. While the new method proposed in this paper is suitable for the acoustic sources with a characteristic aspect ratio y:z close 1:1 and x at random, which extends the appropriate application domain of traditional HELS largely. It uses a finite cylinder as an example in this paper, which shows that the new method is feasible and efficiently