Analytic evaluation of sampled aperture ultrasonic imaging techniques for NDE

This paper presents a theoretical comparison of three generic sampled aperture ultrasonic imaging systems for nondestructive evaluation. The imaging systems are categorized according to their source-receiver combination for data acquisition: common-source, back-scatter, and full-array imaging. First, forward modeling is performed for a point source and a point receiver. This is then used to model the received data set for each of the imaging categories. Subsequently, the inversion algorithm for each category is derived, and their performance is evaluated in terms of resolution, noise, and computation. We show that in terms of resolution, back-scatter imaging is the best, followed by full-array and common-source imaging. However, in terms of material noise, full-array imaging is the best, with back-scatter and common-source imaging having the same material noise response. Full-array imaging is the only system with inherent redundancy to reduce electronic noise, but at the expense of significantly more computation. The physical transducer is in the full-array category, allowing mechanical scanning to be traded for dynamic focusing and computational power.<<ETX>>

[1]  René Marklein,et al.  Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique , 1990 .

[2]  W. Chew Waves and Fields in Inhomogeneous Media , 1990 .

[3]  Mehrdad Soumekh,et al.  Echo imaging using physical and synthesized arrays , 1990 .

[4]  L. Bond,et al.  Investigation of the 1-D inverse born technique , 1987 .

[5]  D.O. Thompson,et al.  Ultrasonics in nondestructive evaluation , 1985, Proceedings of the IEEE.

[6]  A. Kak,et al.  A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation , 1983 .

[7]  Stephen J. Norton,et al.  Ultrasonic Reflectivity Imaging in Three Dimensions: Exact Inverse Scattering Solutions for Plane, Cylindrical, and Spherical Apertures , 1981, IEEE Transactions on Biomedical Engineering.

[8]  R. K. Mueller,et al.  Diffraction Tomography I: The Wave-Equation , 1980 .

[9]  James A. Krumhansl,et al.  Determination of flaw characteristics from ultrasonic scattering data , 1979 .

[10]  G.S. Kino,et al.  Acoustic imaging for nondestructive evaluation , 1979, Proceedings of the IEEE.

[11]  M. Kitahara,et al.  Phase Shift Determination of Scattered Far-Fields and its Application to an Inverse Problem , 1992 .

[12]  M. Tanaka,et al.  A new system for real-time synthetic aperture ultrasonic imaging , 1988, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  David K. Hsu,et al.  Reconstruction of inclusions in solids using ultrasonic Born inversion , 1984 .

[14]  A. Devaney,et al.  Inverse Source and Scattering Problems in Ultrasonics , 1983, IEEE Transactions on Sonics and Ultrasonics.

[15]  M. Kaveh,et al.  Reconstructive tomography and applications to ultrasonics , 1979, Proceedings of the IEEE.

[16]  D. Luenberger Optimization by Vector Space Methods , 1968 .