Electromagnetic Crack Detection Inverse Problems Using Terahertz Interrogating Signals
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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We apply an inverse problem formulation to determine characteristics of a defect from a perturbed electromagnetic interrogating signal. A defect crack inside of a dielectric material causes a disruption, from reflections and refractions off of the interfaces, of the windowed interrogating signal. We model the electromagnetic waves inside the material with Maxwells equations. Using simulations as forward solves, our Newton-based, iterative optimization scheme resolves the dimensions and location of the defect. Numerical results are given in tables and plots, standard errors are calculated, and computational issues are addressed.
- Numerical Mathematics
- Statistics and Probability
- Electromagnetic Pulses
- Electricity and Magnetism