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Comparison study on spherical wave superposition method and spherical wave source boundary point method for realizing nearfield acoustic holography
引用本文:BIChuanxing CHENXinzhao ZHOURong CHENJian. Comparison study on spherical wave superposition method and spherical wave source boundary point method for realizing nearfield acoustic holography[J]. 科学通报(英文版), 2005, 50(5): 472-484. DOI: 10.1007/BF02897465
作者姓名:BIChuanxing CHENXinzhao ZHOURong CHENJian
作者单位:DynamicMeasuringCenter,HefeiUniversityofTechnology,Hefei230009,China
摘    要: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.

关 键 词:声波全息摄影术 球面波 边界点方法 重合方法 空间转换系统 计算方法 二维FFT法
收稿时间:2004-10-20

Comparison study on spherical wave superposition method and spherical wave source boundary point method for realizing nearfield acoustic holography
Chuanxing Bi,Xinzhao Chen,Rong Zhou,Jian Chen. Comparison study on spherical wave superposition method and spherical wave source boundary point method for realizing nearfield acoustic holography[J]. Chinese science bulletin, 2005, 50(5): 472-484. DOI: 10.1007/BF02897465
Authors:Chuanxing Bi  Xinzhao Chen  Rong Zhou  Jian Chen
Affiliation:(1) Dynamic Measuring Center, Hefei University of Technology, 230009 Hefei, China
Abstract: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.
Keywords:acoustic holography   spherical wave   boundary point method   superposition method   inverse problem.
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