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Air-Coupled Transmission Coefficient Reconstruction Using a 3-D Complex-Transducer-Point Voltage Model

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Abstract

Results are presented on the reconstruction of the transmission coefficient in air-coupled ultrasound experiments where the excitation is either a Gaussian sheet beam or a rotationally symmetric Gaussian beam. The effects of nonideal limitations in the method are also reported. The angular spectrum of the transmitted signal is obtained by performing a spatial Fourier transform on data acquired in a coordinate scan of the receiving transducer, an operation that yields, in the 2-D case, exactly the plane-wave transmission coefficient. This equality is shown using an analysis based on the complex transducer point technique. The transmission function reconstructed from a 3-D rotationally symmetric Gaussian beam differs only slightly, in isotropic media, from the plane-wave transmission coefficient. In addition, the influence of a finite coordinate scan and finite step size are also studied. As a demonstration, elastic constants of isotropic and anisotropic materials are obtained from reconstructed transmission functions by inverting the experimental data. The reconstructed results are compared with independent measurements.

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Authors and Affiliations

  1. Herzog Services, Inc., 600 South Riverside Road, St. Joseph, MO, 64507

    Han Zhang

  2. Center for Nondestructive Evaluation and Department of Aerospace Engineering & Engineering Mechanics, Iowa State University, Ames, IA, 50011

    D. E. Chimenti

Authors
  1. Han Zhang
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  2. D. E. Chimenti
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Zhang, H., Chimenti, D.E. Air-Coupled Transmission Coefficient Reconstruction Using a 3-D Complex-Transducer-Point Voltage Model. Journal of Nondestructive Evaluation 22, 23–37 (2003). https://doi.org/10.1023/A:1025728114677

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