On recovery of an inhomogeneous cavity in inverse acoustic scattering
On recovery of an inhomogeneous cavity in inverse acoustic scattering
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DOI：
10.3934/ipi.2018012
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发表时间：
2018-02
影响因子：
1.3
通讯作者：
F. Qu;Jiaqing Yang
中科院分区：
文献类型：
--
作者：
F. Qu;Jiaqing Yang
考虑入射点声源在非均匀腔体内的时谐声散射。通过构造一个等价的积分方程，利用经典的Fredholm理论证明了正问题在L^p中的适定性.受文献[ 10 ]的启发，建立了由腔内封闭表面上测量的波场恢复分段常数函数折射率的反问题的唯一性结果。
Consider the time-harmonic acoustic scattering of an incident point source inside an inhomogeneous cavity. By constructing an equivalent integral equation, the well-posedness of the direct problem is proved in $L^p$ with using the classical Fredholm theory. Motivated by the previous work [ 10 ], a novel uniqueness result is then established for the inverse problem of recovering the refractive index of piecewise constant function from the wave fields measured on a closed surface inside the cavity.