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。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第11期1135-1142,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
粘弹性介质
逆散射
反演过程
松弛模量
波阻抗
viscoelastic medium
inverse scattering
inversion procedure
Volterra integral equation
relaxation modulus
one round trip
numerical examples
