Imaging Schemes for Perfectly Conducting Cracks

Multi-frequency imaging of perfectly conducting cracks via boundary measurements

Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at several frequencies, an imaging functional is introduced and analyzed. A non-iterative imaging procedure is proposed. Numerical experiments from noisy synthetic...

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

Asymptotic Imaging of Perfectly Conducting Cracks

In this paper, we consider cracks with Dirichlet boundary conditions. We first derive an asymptotic expansion of the boundary perturbations that are due to the presence of a small crack. Based on this formula, we design a noniterative approach for locating a collection of small cracks. In order to do so, we construct a response matrix from the boundary measurements. The location and the length ...

Non-iterative electromagnetic imaging of perfectly conducting screens from limited range far-field data

We propose a non-iterative multi-frequency algorithm for the imaging of arbitrarily shaped perfectly conducting screens from limited range far-field data. Based on the factorization of the Multi-Static Response (MSR) matrix collected in the far-field at multiple frequencies in Transverse Magnetic (TM) mode, the imaging problem can be solved through the simple analysis of corresponding eigenvect...

Extended Displacement Discontinuity Boundary Integral Equation Method for Analysis of Cracks in Smart Materials

A brief summary of the explicit versions of the GS4 algorithms and designs has been shown via the implicit counterparts. All explicit time integration schemes are second-order time accurate, and various common schemes are also included within the present frameworks. An i Integration Framework (Isochronous Integration Framework) is also described which employs the same framework for integrating ...