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.© (1993) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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