Exact-scattered-field generation for time-domain approach of ultrasound tomography

Y. Wang; Joel M. Morris

doi:10.1117/12.160616

15 October 1993 Exact-scattered-field generation for time-domain approach of ultrasound tomography

Y. Wang, Joel M. Morris

Proceedings Volume 1960, Automatic Object Recognition III; (1993) https://doi.org/10.1117/12.160616
Event: Optical Engineering and Photonics in Aerospace Sensing, 1993, Orlando, FL, United States

Abstract

Based on the acoustic inhomogeneous wave equation, the forward and inverse scattering problem in ultrasound tomography is characterized in terms of the Lippman-Schwinger equation. For higher-order transient solutions the time-domain moment method is very promising in comparison to frequency domain approaches where phase wrapping has been proven to be a fundamental problem. A preliminary numerical study has verified the Cavicchi's expansion of the moment method equation duplicating the close agreement between the numerical approximation and the exact solution. The primary purposes of this paper is to introduce a numerical implementation of the exact scattered fields by using a Bessel function series and the discrete Fourier transform, and to show that algorithm artifacts occur due to circular convolution aliasing and time domain aliasing. Computer simulations have reconstructed the aliasings individually and shown that a great improvement in numerical verification can be obtained by using alias-free estimation data.

Citation Download Citation

Y. Wang and Joel M. Morris "Exact-scattered-field generation for time-domain approach of ultrasound tomography", Proc. SPIE 1960, Automatic Object Recognition III, (15 October 1993); https://doi.org/10.1117/12.160616

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KEYWORDS

Convolution

Computer simulations

Object recognition

Scattering

Ultrasound tomography

Bessel functions

Chlorine

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