Title :
A method for large, low-contrast acoustic inverse scattering with Born iterations
Author :
Haynes, Mark ; Moghaddam, Mahta
Author_Institution :
Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA
Abstract :
It is well known in the breast ultrasound inverse scattering problem that the speed of sound contrast is only +/- 6% of the background. However, at ultrasonic wavelengths, the image domain is roughly 200lambdamin cubed. Standard forward solvers such as the finite-difference time-domain method or the method of moments in conjunction with full linear systems to retrieve the objects through various gradient-based iterative techniques are too expensive to be practical. Here we use the Neumann series solution as the forward solver and a multi-objective covariance-based cost function to estimate objects with contrasts in the range of +/- 20% for both density and compressibility. Born iterations are used to update the solution successively. The largest imaging domain tested was 14lambdamin in 2D. Each of these components is well suited to test larger, low-contrast objects.
Keywords :
acoustic wave scattering; electromagnetic wave scattering; inverse problems; iterative methods; Neumann series solution; born iteration method; finite-difference time-domain method; full linear systems; gradient-based iterative techniques; low-contrast acoustic inverse scattering; method of moments; multiobjective covariance-based cost function; ultrasonic wavelength; ultrasound inverse scattering problem; Breast; Cost function; Finite difference methods; Inverse problems; Iterative methods; Linear systems; Moment methods; Testing; Time domain analysis; Ultrasonic imaging;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2009. APSURSI '09. IEEE
Conference_Location :
Charleston, SC
Print_ISBN :
978-1-4244-3647-7
DOI :
10.1109/APS.2009.5171682