Recovery of Boundaries and the Boundary Conditions for Multiple Obstacles from the Far-field Pattern
We consider an inverse scattering problem for multiple obstacles D=∪Nj=1Dj(C)R3 with different types of boundary for Dj. By constructing an indicator function from the far-field pattern of scattered wave, we can firstly reconstruct the shape of all obstacles, then identify the type of boundary for each obstacle, as well as the boundary impedance in the case obstacles have Robintype boundary condition. The novelty of our probe method comparing with the existing probe method is that we succeeded in identifying the type of boundary condition for multiple obstacles by analyzing the behavior of both the imaginary part and the real part of the indicator function.
Inverse scattering probe method uniqueness indicator
Jin Cheng Jijun Liu Gen Nakamura
Department of Mathematics, fudan University Shanghai, 200433, P.R.China Department of Mathematics, Southeast University Nanjing, 210096, P.R.China Department of Mathematics, Graduate School of Science Hokkaido University, Sapporo, 060-0810, Japan
国际会议
The Fourth International Workshop on Scientific Computing and Applications(第四届国际科学计算与应用研讨会)
上海
英文
1-19
2005-06-20（万方平台首次上网日期，不代表论文的发表时间）