Shape identification of perfectly conducting, arc-like crack in Transverse Electric mode

We investigate mathematical representation between subspace migration imaging function and Bessel function for a fast shape identification of perfectly conducting, arc-like crack in two-dimensional homogeneous space. This is based on the factorization of so-called Multi-Static Response (MSR) matrix, whose elements are measured far-field pattern in Transverse Electric (TE) mode. Identified representation will enables us to examine various undiscovered properties of imaging function. Numerical results via noisy data has been performed for supporting our investigations.