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符力耘, 杨慧珠, 牟永光. 非均匀介质散射问题的体积分方程数值解法[J]. 力学学报, 1998, 30(4): 488-494. DOI:10.6052/0459-1879-1998-4-1995-153
引用本文: 符力耘, 杨慧珠, 牟永光. 非均匀介质散射问题的体积分方程数值解法[J]. 力学学报, 1998, 30(4): 488-494.DOI:10.6052/0459-1879-1998-4-1995-153
VOLUME INTEGRAL EQUATION METHOD FOR SCATTERING PROBLEMS OF INHOMOGENEOUS MEDIA[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(4): 488-494. DOI:10.6052/0459-1879-1998-4-1995-153
Citation: VOLUME INTEGRAL EQUATION METHOD FOR SCATTERING PROBLEMS OF INHOMOGENEOUS MEDIA[J].Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(4): 488-494.DOI:10.6052/0459-1879-1998-4-1995-153

非均匀介质散射问题的体积分方程数值解法

VOLUME INTEGRAL EQUATION METHOD FOR SCATTERING PROBLEMS OF INHOMOGENEOUS MEDIA

  • 摘要:将非均匀介质视为某一均匀背景介质中的扰动,可建立用均匀背景介质格林函数作基本解的体积分方程.给出了配置法求解体积分方程的数值方法,首先解得扰动域内各点以速度扰动为权的波场函数,然后回代计算得到观测面上各接收点的散射波场.与边界元法和Born近似法计算结果比较表明该方法具有很高的精度,可得到穿过非

    Abstract:It is an effective technique to treat inhomogeneous media as perturbations on the back ground of homogeneous media and to treat the perturbations as equivalent source. Two forms of corresponding integral equations are: 1) boundary integral equation with both boundary integral items for boundary displacement and volume integral items for displacement in wavefield; 2) volume integral equation including integral only for inhomogeneous bounded region. Much work has been done in this field. Interpreting inhom...

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