Wednesday, July 4, 2012

1207.0586 (Won-Kwang Park)

Fast Shape Reconstruction of Perfectly Conducting Cracks by Using
Multi-Frequency Topological Derivative Function

Won-Kwang Park
This paper concerns a fast, one-step iterative imaging technique of extended perfectly conducting cracks with Dirichlet boundary condition. In order to reconstruct shape of cracks from scattered field data measured on boundary, we introduce a topological derivative based electromagnetic imaging function operated at several nonzero frequencies. Some properties of imaging function are carefully analyzed for the symmetric and non-symmetric incident field directions configuration. This analysis shows that why application of incident fields with symmetric direction operated at multiple frequency guarantee a successful reconstruction. Various numerical simulations with noise corrupted data are accomplished to examine its performance, effectiveness, robustness and limitations.
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