[1] Su Jingxun, Liu Jijun,. Reconstruction of density and wave velocityfrom reflection and transmission data [J]. Journal of Southeast University (English Edition), 2005, 21 (2): 233-238. [doi:10.3969/j.issn.1003-7985.2005.02.024]

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Reconstruction of density and wave velocityfrom reflection and transmission data()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

21

Issue:

2005 2

Page:

233-238

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2005-06-30

Info

Title:

Reconstruction of density and wave velocityfrom reflection and transmission data

Author(s):

Su Jingxun;  Liu Jijun

Department of Mathematics, Southeast University, Nanjing 210096, China

Keywords:

inverse problem;  wave equation;  characteristic theory;  integral equations

PACS:

O175.27

DOI:

10.3969/j.issn.1003-7985.2005.02.024

Abstract:

Consider an inverse problem of reconstructing the coefficient in a linear wave equation on an inhomogeneous slab with density ρ(z)and wave velocity c(z).The inversion input information is the reflection and transmission data corresponding to a point source.By applying the characteristic theory for hyperbolic equations, we establish an integral system from which ρ(z)and c(z)can be recovered simultaneously.In contrast to some known results, our inverse approach is carried out for depth variable, rather than for travel-time variable.Therefore inversion results in this paper are more appropriate for the physical interpretation of a medium slab.

References:

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[6] Sjöberg D.Reconstruction of nonlinear material properties for homogeneous, isotropic slabs using electromagnetic waves [J].Inverse Problems, 1999, 15(2):431-444.
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Memo

Memo:

Biographies: Su Jingxun(1980—), male, graduate;Liu Jijun(corresponding author), male, doctor, professor, jjliu@seu.edu.cn.

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