Abstract
In existing partial field decomposition methods, the pressures are generally used as references. This paper is going to use the particle velocities as the references to decompose the sound field radiated by incoherent or partially coherent sources into mutually incoherent partial fields, and evaluate its performance by comparing with the method using pressure references. Both numerical simulations and experiment confirm the effectiveness of the method using particle velocity references for partial field decomposition and demonstrate its superiority over the method using pressure references, and it is also shown through numerical simulations that the particle velocity references almost always perform better than the pressure references as long as the references are located close to the sources and the directions of particle velocity references are perpendicular to the source plane as far as possible.
Highlights
In order to accurately identify sound sources and visualize their associated sound fields via such technique as nearfield acoustic holography (NAH) [1,2,3], the sound field should be fully coherent
The directions of particle velocity references should try to be perpendicular to the source plane, i.e., the angle θ should be as small as possible, to obtain much better decomposition accuracy
Because the particle velocity decays more quickly than the pressure when propagating and the particle velocity is a vector, it is expected that each particle velocity reference could sense one independent source close to it better than each pressure reference and the partial field decomposition using particle velocity references could work better than that using pressure references
Summary
In order to accurately identify sound sources and visualize their associated sound fields via such technique as nearfield acoustic holography (NAH) [1,2,3], the sound field should be fully coherent. The practical sound field studied is generally radiated by incoherent or partially coherent sources Under this situation, multiple fixed-location reference transducers are required, and the total sound field must be decomposed into a set of partial fields that are incoherent with each other. Bi et al [20, 21] tried to use a different acoustic quantity, pressure gradient, as references, and it was shown that the decomposed partial fields when using pressure gradient references were better than those when using pressure references no matter the virtual coherence or partial coherence procedures employed. The purpose of the present paper is to use another acoustic quantity, the particle velocity, as references and employ the partial coherence procedure to decompose the total sound field into a set of mutually incoherent partial fields. The performance of the proposed method and its advantages compared to the method using pressure references are examined through both numerical simulations and experiment, and the influences of reference locations and directions of particle velocity references on the partial field decomposition accuracy are investigated numerically
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