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

[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.

[发布机构] Department of Mathematics, Kookmin University, Seoul; 136-702, Korea, Republic of^1

[效力级别] 数学

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