Electromagnetic modeling of a periodic array of fibers embedded in a panel with multiple fibers missing
Abstract
Our goal is to detect defects in composite materials composed by multi-layer planar plates with a periodic set of circular cylindrical fibers embedded within each layer. As a starter, the work presented is electromagnetic (EM) modeling and imaging of missing fibers in a fiber array standing in air. The multiple scattering method is utilized to analyze the electromagnetic behavior, and the corresponding imaging model is established directly from Lippman-Schwinger integral formulation. With the imaging model, standard MUltiple SIgnal Classification (MUSIC), and the proposed joint sparsity which borrows the idea from sparsity theory, are applied to retrieve the locations of missing fibers. Various numerical results are provided to illustrate availability and accuracy of the modeling and imaging.