Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance
-
摘要: 在时间域内讨论了粘弹性介质的逆散射问题,其中粘弹性介质的波阻抗在远离入射波作用面一侧的交界面上是不连接的。介质的散射算子,传播算子所满足的微分积分方程可以用来反演未知的粘弹性介质的松弛模量,文中给出的反演过程只须利用介质层一侧的反射算子在一个走时来回的时间内的实验测量数据。最后,给出了数值算例,计算结果表明,利用方法可以较准确的反演得到材料松弛模量。Abstract: In this paper, the inverse problem for the viscoelastic medium is investigated in the time domain, in which the wave impedance of the medium is discontinuous at the rear interface. The differentio-integral equations governing the behavior of the scattering and propagation operators are utilized to reconstruct the relaxation modulus of the viscoelastic medium. A new approach, in which only the one-side measurement reflection data for one round trip through the viscoelastic layer, is developed. The numerical examples are given at the end of the paper. It is shown that the curves of the reconstructed moduli coincide very well with the original relaxation moduli.
-
[1] Fuks P,Karlsson A,Larson G.Direct and inverse scattering from dispersive media[J].Inverse Problem,1994,10:555～571. [2] Beezley R S,Krugger R J.An electromagnetic inverse problem for dispersive media[J].J Math Phys,1985,26:317～325. [3] Ammicht E.Corones J P,Krugger R J.Direct and inverse scattering for viscoelastic media[J].J Acoust Soc Am,1987,81,827～834. [4] 陈显尧.粘弹性介质中的散射与逆散射问题(D).博士学位论文.兰州:兰州大学,1999,6. [5] Christenson R M.Theory of Viscoelasticity[M].New York:Academic Press,Inc,1982. [6] Kress R.Linear Integral Equations[M].Applied Mathematical Sciences.Springer Verlag,New York:World Publishing Corp,1989. -
计量
- 文章访问数: 2225
- HTML全文浏览量: 102
- PDF下载量: 561
- 被引次数: 0
下载:
渝公网安备50010802005915号