MUSIC-type imaging of small perfectly conducting cracks with an unknown frequency

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Park, Won-Kwang^1

Department of Mathematics, Kookmin University, Seoul

136-702, Korea, Republic of^1

关键词: Conducting crack;    Functionals;    Inverse scattering problems;    Multiple signal classification;    Non-iterative;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012005/pdf
DOI  :  10.1088/1742-6596/633/1/012005

来源: IOP

【 摘 要 】

MUltiple SIgnal Classification (MUSIC) is a famous non-iterative detection algorithm in inverse scattering problems. However, when the applied frequency is unknown, inaccurate locations are identified via MUSIC. This fact has been confirmed through numerical simulations. However, the reason behind this phenomenon has not been investigated theoretically. Motivated by this fact, we identify the structure of MUSIC-type imaging functionals with unknown frequency, by establishing a relationship with Bessel functions of order zero of the first kind. Through this, we can explain why inaccurate results appear.