Xinzhao Chen

Sound field separation technique based on equivalent source method and its application in nearfield acoustic holography.

A technique for separating sound fields using two closely spaced parallel measurement surfaces and based on equivalent source method is proposed. The method can separate wave components crossing two measurement surfaces in opposite directions, which makes nearfield acoustic holography (NAH) applications in a field where there exist sources on the two sides of the hologram surface, in a reverberant field or in a scattered field, possible. The method is flexible in applications, simple in computation, and very easy to implement. The measurement surfaces can be arbitrarily shaped, and they are not restricted to be regular as in the traditional field separation technique. And, because the method performs field separation calculations directly in the spatial domain-not in the wave number domain--it avoids the errors and limitations (the window effects, etc.) associated with the traditional field separation technique based on the spatial Fourier transform method. In the paper, a theoretical description is first given, and the performance of the proposed field separation technique and its application in NAH are then evaluated through experiments.

Near field acoustic holography based on the equivalent source method and pressure-velocity transducers

The advantage of using the normal component of the particle velocity rather than the sound pressure in the hologram plane as the input of conventional spatial Fourier transform based near field acoustic holography (NAH) and also as the input of the statistically optimized variant of NAH has recently been demonstrated. This paper examines whether there might be a similar advantage in using the particle velocity as the input of NAH based on the equivalent source method (ESM). Error sensitivity considerations indicate that ESM-based NAH is less sensitive to measurement errors when it is based on particle velocity input data than when it is based on measurements of sound pressure data, and this is confirmed by a simulation study and by experimental results. A method that combines pressure- and particle velocity-based reconstructions in order to distinguish between contributions to the sound field generated by sources on the two sides of the hologram plane is also examined.

Patch near field acoustic holography based on particle velocity measurements

Patch near field acoustic holography (PNAH) based on sound pressure measurements makes it possible to reconstruct the source field near a source by measuring the sound pressure at positions on a surface that is comparable in size to the source region of concern. Particle velocity is an alternative input quantity for NAH, and the advantage of using the normal component of the particle velocity rather than the sound pressure as the input of conventional spatial Fourier transform based NAH and as the input of the statistically optimized variant of NAH has recently been demonstrated. This paper examines the use of particle velocity as the input of PNAH. Because the particle velocity decays faster toward the edges of the measurement aperture than the pressure does and because the wave number ratio that enters into the inverse propagator from pressure to velocity amplifies high spatial frequencies, PNAH based on particle velocity measurements can give better results than the pressure-based PNAH with a reduced number of iterations. A simulation study, as well as an experiment carried out with a pressure-velocity sound intensity probe, demonstrates these findings.

Reconstruction and Separation in a Semi-Free Field by Using the Distributed Source Boundary Point Method-Based Nearfield Acoustic Holography

In a semi-free field, the acoustic field is composed of two components: the direct sound and the reflected sound. Because it is difficult to separate the direct sound from the acoustic field, conventional nearfield acoustic holography (NAH) methods cannot reconstruct an acoustic source and predict the acoustic field directly. Through utilization of the distributed source boundary point method (DSBPM)-based NAH, a treatment method for a semi-free field is proposed. In the method, the source in a semi-free field can be reconstructed correctly, and the acoustic field can be predicted and separated. An experiment on a speaker in a semi-anechoic chamber is carried out to verify the proposed method. By comparing the reconstructed and predicted results in DSBPM-based NAH with and without the proposed method, the proposed method is validated. The disadvantages of NAH without any treatment method in a semi-free field are demonstrated.

Orthogonal spherical wave source boundary point method and its application to acoustic holography

When solving acoustic radiation problem in the routine boundary point method (BPM), the inverse of the particular solution matrix of surface normal velocities is needed and the matrix must be full rank and reversible. However, the type of the particular solution sources is single and the sources are not linear independent, so the locations of the particular solution sources inside the vibrating body must be selected carefully. But, in the routine BPM, the locations are determined by an experiential formula, so the method may be invalid for a complicated vibrating body. In this paper, the construction method of the particular solution sources is improved first, and the singular value decomposition (SVD) technique and the Moore-Penrose pseudoinverse are adopted to realize the inversion. As a consequence, the particular solution matrix of surface normal velocities can be non-full rank and the locations of the particular sources can be determined easily. On the basis of the improved BPM, the spherical wave sources of different orders are proposed to be the particular solution sources. Here, all particular solution sources are located on only one point inside the vibrating body, so the problem of the locations of the particular solution sources is thoroughly solved, and such particular solution sources that are useless for the calculation results are discarded. The theoretical model is established at first, and then the proposed method is used to realize the nearfield acoustic holography (NAH). Subsequently, an experiment is investigated to validate the feasibility and correctness of the proposed method and its application to acoustic holography.

Acoustic design sensitivity analysis based on wave superposition approach.

Research on the acoustic design sensitivity is significant for its ability to provide the optimized orientation for low noise design of radiating structures. In this paper, the wave superposition approach (WSA) is employed to calculate acoustic design sensitivity. The sensitivity formulations based on the wave superposition are presented in a direct differentiation way, by which the sensitivity of acoustic quantities with respect to the design variables such as structural parameters or physical properties can be obtained. This method is suitable for both shape and sizing sensitivity analysis of arbitrary shaped sources. Compared with the conventional direct differentiation boundary element method, the proposed method has improved accuracy and speed of computation, and has no inherent problem of singular integration which will make numerical processing more complicated. Numerical experiments are demonstrated to show the validity and feasibility of the proposed method.

Comparison study on spherical wave superposition method and spherical wave source boundary point method for realizing nearfield acoustic holography

In the light of the concept of spherical wave source, the theoretical model of nearfield acoustic holography (NAH) based on the spherical wave superposition method (SWSM), including reconstruction of expansion coefficients, prediction of acoustic field, error sensitivity analysis, regularization method and a searching method with dual measurement surfaces for determining the optimal number of expansion terms, is established. Subsequently, the spherical wave source boundary point method (SWSBPM) and its application in the NAH are introduced briefly. Considering the similarity of the SWSM and the SWSBPM for realizing the NAH, they are compared. The similarities and differences of the two methods are illuminated by a rigorous mathematical justification and two experiments on a single source and two coherent sources in the semi-free acoustic field. And, the superiority of the NAH based on the SWSBPM is demonstrated.