重建吸收介质参数(ρ(3),α(3))(英)

Recovery of Lossy Media Profile (ρ(z), α(z) )

本文考虑重建吸收介质的密度ρ（3）和吸收系数α（3）的双参数反演问题。通过波动方程特征积分的方法并引人辅助函数，我们得到了原反问题的一个等价的封闭的积分方程组。利用本文的反演方法，ρ（3）tα（3）可以由反射数据f（t）和透射数据g（t）在深度变量子下同时恢复出来。

This paper considers the lossy inverse problem of reconstructing media density ρ(z) and dissipative coefficient α(z), where z is the depth variable. By applying characteristic method of wave equation and introducing assistant functions, we establish a set of equivalent integral equations to the inverse problem. Using our inversion approach, (ρ(z),α(z) ) can be recovered from transmission data and reflectiona data simultaneously for the depth variable z.