声场重构的声辐射模态阶数分析

利用声辐射模态法对椭球状声源辐射声场进行重构,分析了模态阶数对相对误差的影响,以及模态阶数与频率的关系;同时深入探讨了声源形状变化对模态阶数选取的影响。研究发现利用较少的模态阶数即可得到很好的重构效果,且声源形状的变化对重构所需模态阶数的影响较小,因此可将该方法用于任意形状声源的重构,体现了此方法在声场重构中的优越性。

Studies of the order of the acoustic radiation modes for sound field reconstruction

The sound field from a spheroid object can be reconstructed by using acoustic radiation modes. The impact of modal order number on relative error and the relationship between the modal order number and frequency are analyzed in this paper. Meanwhile further discussion is made to the influence of change in the acoustic source shape on choice of modal order. Research result shows that we can get good reconstruction results by using a small number of modes, and that the change in the acoustic source shape has a little influence on the number of modes which are needed for reconstruction. Therefore, we can apply this method to the reconstruction of acoustic source of all shapes, which shows the superiority of this method in reconstruction of sound field.