Influence Factors Analysis on Sound Field Reconstruction Accuracy by Ray Wave Superposition Method

Ray wave superposition method improved the ill-conditioned state of the transfer matrix, but its strong directivity aggravated the principal diagonal dominant degree, resulted in the loss of sound field information. The accuracy of sound field reconstruction was affected by the ill-conditioned state and the principal diagonal dominant degree of the transfer matrix. In order to further improve the reconstruction accuracy of ray wave superposition, the relationship between the reconstruction accuracy and the order of wave function, the reconstruction wave number, the distance between the equivalent source surface and the reconstruction surface was analyzed. The results are shown that: with the increase of the order of wave function, the well-conditioned of the transfer matrix is better, and the principal diagonal dominant degree of the transfer matrix is higher and higher; with the increase of the reconstruction wave number or the distance between the reconstruction surface and the equivalent source surface, the relative error of sound field reconstruction first decreases and then increases.