摘要
研究了高维波动方程的反问题 ,根据奇性解的演化去求声速的Radon变换 ,将反问题的解转化为Radon反变换 ,而Radon反变换能够只根据外部测量数据重建内部截面图像 .
The inverse problem of wave equation in high-dimension space is studied.Instead of the traditional inverse scattering method,the Radon transform of sonic speed is obtained according to the properties of the singular solution,then solving the inverse problem is converted to Radon inverse transform.Radon inverse transform can reconstruct the cross section image even though only the outside data is measured.Some instances computed prove the validity of this method.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2002年第1期5-11,共7页
Journal of Shandong University(Natural Science)
