Abstract
Various numerical methods to solve the exact inverse scattering problem are presented here. These methods consist of the following steps: first, modeling the scattering of acoustic waves by an accurate wave equation; second, discretizing this equation; and third, numerically solving the discretized equations. The fixed-point method and the nonlinear Newton-Raphson method are applied to both the Helmholtz and Riccati exact wave equations after discretizations by the moment method or by the discrete Fourier transform methods. Validity of the proposed methods is verified by computer simulation, using exact scattering data from the analytical solution for scattering from right circular cylindrical objects. (Acoustical Imaging 15, Halifax, Nova Scotia, July, 1986)
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© 1987 Plenum Press, New York
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Kim, W.W., Johnson, S.A., Berggren, M.J., Stenger, F., Wilcox, C.H. (1987). Analysis of Inverse Scattering Solutions from Single Frequency, Combined Transmission and Reflection Data for the Helmholtz and Riccati Exact Wave Equations. In: Jones, H.W. (eds) Proceedings of the Fifteenth International Symposium, July 14–6, 1986. Acoustical Imaging, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5320-1_32
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DOI: https://doi.org/10.1007/978-1-4684-5320-1_32
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