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反演声波阻尼系数的一个逼近方法 被引量:12

AN APPROXIMATION METHOD FOR RECOVERING THE ACOUSTIC WAVE IMPEDANCE COEFFICIENT
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摘要 The inverse time-hormonic acoustic scattering problem we are considering in this paper is to recover the impedance coefficient from the far field pattern of the scattered wave.An approximation method is presented and the conversgence of this method is proven.Numerrical examples are given showing that this method is both accurate and simple to use. The inverse time-hormonic acoustic scattering problem we are considering in this paper is to recover the impedance coefficient from the far field pattern of the scattered wave.An approximation method is presented and the conversgence of this method is proven.Numerrical examples are given showing that this method is both accurate and simple to use.
作者 王连堂
机构地区 西北大学数学系
出处 《计算数学》 CSCD 北大核心 2000年第3期265-274,共10页 Mathematica Numerica Sinica
关键词 阻尼系数 逼近 远场模式 声波 传播 反演方法 impedance coefficient, approximation, Far field pattern
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参考文献5

  • 1[1]D. Colton and R. Kress, Inverse Acoustic andElectromagnetic Scattering Theory, Spring-Verlag, 1992.
  • 2[2]D. Colton and R. Kress, Integrel EquationMethods in Scattering Theory, Wiley-Intescience Publication,New York, 1983.
  • 3[3]A. Kirsch and R. Kress,An optimization method in inverse acousticscattering, Boundary Elements IX vol 3 Fluid Flow and PotentialApplications, Springer-Verlag, (1987), 3-18.
  • 4[4]A. Kirsch and R. Kress, Two methods for solving the invers acousticscattering problem, Inverse Problems 4 (1988), 749-770.
  • 5[5]A. Zinn, On an optimisation method for the full-and the limited-apturnproblem in inverse acoustic scattering for a sound-soft obstancle, Inverse Problems, 5 (1989), 239-253.

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