【摘要】 以弹性波为重点，评述了三锥散射算子关系及其在逆散射中的应用。为便于理解，在介绍过程中，还仔细描述一维球对称情况下散射矩阵和逆散射方程推导。本文表明，无论在一维球对称介质情形，还是三维情形（包括声波、电磁波和弹性波），其因果场、反因果场和散射数据之间都存在一个关系，即散射算子关系。如果利用因果场与反因果场之间的时间反转关系，可以得到因果场与散射数据之间的关系或方程。再引进三种场的分解方法，可以得到三种关于因果场的方程，这就是逆散射方程。这些方程分别提出了新的问题。更多还原

【Abstract】 The three-dimensional scattering operator formulations with application in the three-dimensional inverse scattering are reviewed with emphasis on the elastic wave case.In order to be easy understood. the scattering matrix and inverse scattering equation in one-dimensiond spherical symmistral case are given.It is shown that no matter in one-dimensional case or three-dimensional case(including acoustical wave elctromagnetical wave and elastic waves),there all exists a relation among acoustical field,antiacoustital field and scattering data, that is the scattering operator rclation.If the time reversal relation is used,the equation onlyincludes acoustic field and scattering data.更多还原