Near-field sound propagation based on a circular and linear array combination

Abstract

This paper proposes a new method for realizing 3D near-field sound propagation. Its main concept is that the sound pressure radiated from a circular sound source outside the circle is completely canceled out using another linear sound source. The appropriate driving functions and the reproduced sound pressures of both sound sources are analytically derived based on the two-dimensional spatial Fourier transform. The radiation property reproduced by a circular source outside the circle is different from that inside the circle. As a result, three-dimensional near-field sound propagation can be realized within the radius of a circular source because the total radiated sound pressure outside the circle can only be completely canceled out. Compared with previous methods, the propagation distance can be controlled by changing the circle's radius. The results of computer simulations suggest that the proposed method can realize effective three-dimensional near-field sound propagation.