Application of MUSIC to limited-view inverse scattering problem

From the various results of numerical simulations, it has verified that the MUltiple Signal Classification (MUSIC) algorithm can be applied to the limited-view inverse problem. However, this application is somehow heuristic; therefore, the theoretical background of the MUSIC algorithm must be considered beforehand. In this paper, we explore the least condition of MUSIC for guaranteeing the good imaging performance of extended cracks in two-dimensional space. Concerned explore is rely on the expression of imaging function with an infinite series of Bessel functions. Numerical simulations with noisy data verify out investigation.