Abstract
This paper①is devoted to the study of the two-dimensional inverse scattering problem from numerical point of view. [1] has converted the problem into solving an interesting Radon’s integral geometry equation of the first kind. We present the TCCR method based on the ideas of [2],[3] for solving the integral geometry equation,and give several satisfactory numerical results. It is found that the method is numerically stable and convergent fast.
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References
Ganquan Xie, Jianhua Li, Nonliear Integral Equation of Inverse Scattering Problem of Wave Equation and Iteration, in preparation, JCM.
Ganquan Xie, Jianhua Li, A New Characteristic Iterative Method for Solving Scattering Potential Inverse Problem of 3-D Wave Equation, Scientia Sinica, No.4,(1988).
Tiknonov,A.N. and Arsein,V.Y., On the Solution of lll-Posed Problem, Johu Wiley and Sons, New York, (1977).
Longji Tang, Ganquan Xie, Wei Liu, Wen Li, Numerical Solution for Solving the Nonlinear Integral Equation of One-Dimensional Inverse Scattering Problem, in preparation.
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© 1993 Springer Science+Business Media New York
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Xie, G., Tang, L., Liu, W., Li, W. (1993). TCCR Numerical Method for Solving Two-Dimensional Inverse Scattering Problem. In: Wei, Y., Gu, B. (eds) Acoustical Imaging. Acoustical Imaging, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2958-3_20
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DOI: https://doi.org/10.1007/978-1-4615-2958-3_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6286-9
Online ISBN: 978-1-4615-2958-3
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