A necessary condition for applying MUSIC algorithm in limited-view inverse scattering problem

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Park, Taehoon^1 ; Park, Won-Kwang^1

Department of Mathematics, Kookmin University, Seoul

136-702, Korea, Republic of^1

关键词: Conducting crack;    Infinite series;    Integer order;    Inverse scattering problems;    Multiple signal classification algorithm;    MUSIC algorithms;    Numerical experiments;    Synthetic data;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012006/pdf
DOI  :  10.1088/1742-6596/633/1/012006

来源: IOP

【 摘 要 】

Throughout various results of numerical simulations, it is well-known that MUltiple SIgnal Classification (MUSIC) algorithm can be applied in the limited-view inverse scattering problems. However, the application is somehow heuristic. In this contribution, we identify a necessary condition of MUSIC for imaging of collection of small, perfectly conducting cracks. This is based on the fact that MUSIC imaging functional can be represented as an infinite series of Bessel function of integer order of the first kind. Numerical experiments from noisy synthetic data supports our investigation.