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Volume 26, Issue 4
A Method for Solving the Inverse Scattering Problem for Shape and Impedance

Ali Yang & Liantang Wang

J. Comp. Math., 26 (2008), pp. 624-632.

Published online: 2008-08

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  • Abstract

The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use.

  • Keywords

Impedance boundary condition, Helmholtz equation, Inverse scattering, Convergence.

  • AMS Subject Headings

65N38, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-624, author = {Ali Yang and Liantang Wang}, title = {A Method for Solving the Inverse Scattering Problem for Shape and Impedance}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {4}, pages = {624--632}, abstract = {

The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8646.html} }
TY - JOUR T1 - A Method for Solving the Inverse Scattering Problem for Shape and Impedance AU - Ali Yang & Liantang Wang JO - Journal of Computational Mathematics VL - 4 SP - 624 EP - 632 PY - 2008 DA - 2008/08 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8646.html KW - Impedance boundary condition, Helmholtz equation, Inverse scattering, Convergence. AB -

The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use.

Ali Yang and Liantang Wang. (2008). A Method for Solving the Inverse Scattering Problem for Shape and Impedance. Journal of Computational Mathematics. 26 (4). 624-632. doi:
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