一类非均匀传输逆散射问题的混合交互关系研究  

Study on Mixed Reciprocity Relation for a Class of Inhomogeneous Transmission Inverse Scattering Problems

作　　者：叶建国 YE Jian-guo(School of Mathematics and Statistics,Kashi University,Kashi 844000,Xinjiang,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《喀什大学学报》2021年第3期1-4,共4页Journal of Kashi University

基　　金：新疆维吾尔自治区自然科学基金项目“内部含有裂缝的障碍物逆散射问题的研究”(2019D01A05).

摘　　要：对一类带有传导边界条件的非均匀传输逆散射问题的混合交互关系进行探讨,并给出问题对应的Green函数远场G;与全场u、穿透场v的交互关系刻画,为重构散射体做好理论准备.This paper is devoted to the mixed reciprocity relation of a class of inhomogeneous transmission inverse scattering problems with conductive boundary condition. The mixed reciprocity relation between the far field pattern of Green function G, the total field u and the transmission field v is described, which provides a theoretical preparation for the reconstruction of scatters.

关 键 词：非均匀传输 逆散射问题 混合交互关系 HELMHOLTZ方程 GREEN函数 传导边界条件 

分 类 号：O175.24[理学—数学]