| GENERALIZED RAY APPROXIMATE METHOD TO INVERSE MEDIUM PARAMETERS |
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| 作者姓名： | Niu Yuqing Du Desheng Ma Xingrui Huang Wenhu |
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| 作者单位： | Dep.of Astronautics and Mechanics，Harbin Institute of Technology，Harbin 150001，China |
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| 摘 要： | In this paper,the inverse problem of the medium parameters in an inhomogeneousmedium is studied and a generalized ray approximate form of the total wave field is described.First,the acoustic wave equation derived from the elastic wave equation is studied,the referential variablesand perturbational variables are introduced,and the integral equation of the medium perturbational pa-rameters is obtained.Then from the point of view of the local principles of the wave function in an in-homogeneous medium,a generalized ray approximate form of the total wave field in an inhomoge-neous medium is described,and attention is focused on the Fredholm integral equation of the firstkind.Finally,the medium parameters in half-plane are inversed.Numerical examples show when theperturbations of the medium parameters are about 0.5,this method can effectively inverse its varia-tion.Apparently,this method is better than the conventional Born weak scattering approximation.
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| 收稿时间： | 23 October 1995 |
GENERALIZED RAY APPROXIMATE METHOD TO INVERSE MEDIUM PARAMETERS |
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| Niu Yuqing Du Desheng Ma Xingrui Huang Wenhu.GENERALIZED RAY APPROXIMATE METHOD TO INVERSE MEDIUM PARAMETERS[J].Acta Mechanica Solida Sinica,1996,9(1):59-65. |
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| Authors: | Niu Yuqing Du Desheng Ma Xingrui Huang Wenhu |
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| Affiliation: | (1) Dep. of Astronautics and Mechanics, Harbin Institute of Technology, 150001 Harbin, China |
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| Abstract: | In this paper,the inverse problem of the medium parameters in an inhomogeneous medium is studied and a generalized ray approximate form of the total wave field is described.First, the acoustic wave equation derived from the elastic wave equation is studied,the referential variables and perturbational variables are introduced,and the integral equation of the medium perturbational pa- rameters is obtained.Then from the point of view of the local principles of the wave function in an in- homogeneous medium,a generalized ray approximate form of the total wave field in an inhomoge- neous medium is described,and attention is focused on the Fredholm integral equation of the first kind.Finally,the medium parameters in half-plane are inversed.Numerical examples show when the perturbations of the medium parameters are about 0.5,this method can effectively inverse its varia- tion.Apparently,this method is better than the conventional Born weak scattering approximation. |
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| Keywords: | integral equation generalized ray approximation medium parameters function integral transform |
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