Electromagnetic Imaging of Damages in Fibered Layered Laminates via Equivalence Theory

Electromagnetic nondestructive testing of damaged multilayer fiber-reinforced laminates is of concern. Each layer involves periodically positioned circular cylindrical fibers embedded within a matrix medium. Missing, displaced, shrunk, expanded fibers as well as circular inclusions inside a fiber are modeled as properly designed equivalent sources inside the undamaged structure. Then, the location of damages is retrieved via simply searching for such equivalent sources. A sparsity-constrained solution as well as classical algorithms including truncated singular value decomposition, multiple signal classification, and basic matching pursuit are considered, and their pros and cons are illustrated by numerical results in various configurations.

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