Abstract
The Born iterative method and the distorted Born iterative method (DBIM) are used to solve two-dimensional acoustic inverse scattering problems. These methods were developed to solve the two-dimensional imaging problem when the Born and the Rytov approximations break down. Numerical simulations are performed using the both methods. Both of them give good reconstructed profiles when the first-order Born approximation fails. Meanwhile, the results show that each method has its advantages. The distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.
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Wang, Y.M., Chew, W.C. (1991). Reconstruction of Two-Dimensional Refractive Index Distribution Using the Born Iterative and Distorted Born Iterative Method. In: Lee, H., Wade, G. (eds) Acoustical Imaging. Acoustical Imaging, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3692-5_12
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DOI: https://doi.org/10.1007/978-1-4615-3692-5_12
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