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利用远场模式反演声波阻尼系数 被引量:5

RECOVER THE ACOUSTIC WAVE IMPEDANCE COEFFICIENT FROM THE FAR FIELD PATERN
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摘要 The inverse time-hormonic acoustic wave scattering problem we are consideringin this paper is to recover the impedance coefficient from the far field pattern ofthe scattered wave. A method is presellted and the convergence of this method isproven. Numericale examples are given showing that this method is both accurateand simple to use. The inverse time-hormonic acoustic wave scattering problem we are consideringin this paper is to recover the impedance coefficient from the far field pattern ofthe scattered wave. A method is presellted and the convergence of this method isproven. Numericale examples are given showing that this method is both accurateand simple to use.
作者 王连堂
机构地区 西北大学
出处 《计算数学》 CSCD 北大核心 1999年第1期89-98,共10页 Mathematica Numerica Sinica
关键词 声波 阻尼系数 反演 反散射问题 远场模式 acoustic wave, scattering, impedance coefficient recover
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同被引文献31

  • 1王枢,王连堂.反演声波阻尼系数的另一种方法[J].纯粹数学与应用数学,2005,21(4):370-377. 被引量:2
  • 2王连堂.声波及散射的“Limited Aperture”问题[J].计算数学,1997,19(1):73-82. 被引量:3
  • 3Cohon D,Monk P.A novel method for solving the inverse scattering problem for time harmonic acoustic wave in the resonance region[J].SIAMJ Appl Math,1985,45:1039-1053.
  • 4Cohon D,Monk P.A novel method for solving the inverse scattering problem for time harmonic acoustic wave in the resonance region[J].Ⅱ SIAMJ Appl Math,1986,46:506-523.
  • 5Ochs R L.The Limited Aperture Problem of inverse scattering:Dirichlet Boundary Condition[J].SIAMJ Appl Math,1987,47:1320-1341.
  • 6David Cohon,Michele Piana,Roland Potthast.A Simple method using Morozov'sdis crepancy principle for solving inverse scattering problems[J].Inverse Problem,2001,17:1997-2015.
  • 7Pedro Serranho.A Hybrid Method for Inverse Scattering for Shape and Impedance[J].Inverse Problem,2006,22:663-680.
  • 8Colton D,Kress R.Integral equation methods in scattering theory[M].New York:Wileyinterscience publication,1983.
  • 9Colton D,Kress R.Inverse and electromagnetic scattering theory[M].New York:Springer Verlag Berlin Heidelberg,1992.
  • 10D.Coltom and P.Monk, A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region, SIAM J. Appl. Math., 45(1985),1039-1053.

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