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2005
DOI: 10.1016/j.nonrwa.2004.09.004
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Gap detection with electromagnetic terahertz signals

Abstract: We apply an inverse problem formulation to determine characteristics of a defect from a perturbed electromagnetic interrogating signal. A defect (gap) inside of a dielectric material causes a disruption, via reflections and refractions at the material interfaces, of the windowed interrogating signal. We model the electromagnetic waves inside the material with Maxwell's equations. This leads to a non-standard, nonlinear optimization problem for the dimensions and location of the defect. Using simulations as for… Show more

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Cited by 12 publications
(14 citation statements)
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“…In particular, if the distribution F were discrete, consisting of a single relaxation parameter, then we would again have (13). The macroscopic electric polarization becomes…”
Section: The 1-d Problem Formulationmentioning
confidence: 99%
“…In particular, if the distribution F were discrete, consisting of a single relaxation parameter, then we would again have (13). The macroscopic electric polarization becomes…”
Section: The 1-d Problem Formulationmentioning
confidence: 99%
“…Our efforts here are motivated by use of electromagnetic interrogating signals (possibly in the Terahertz range) for detection of defects [4,14] in the insulating foam on the fuel tanks of the NASA space shuttles. Defects in the foam are believed to contribute to the problem of separation of the foam during liftoff, resulting in significant damage to and possibly subsequent destruction of the space vehicle itself.…”
Section: Introductionmentioning
confidence: 99%
“…Previous efforts ( [5,6]) investigated the application of polarization mechanisms to account for the attenuation of wave propagation in foam, but matching the simulations to experimental data has yet to be completely successful. While these models were expressed in only one spatial dimension, the 2D formulation in [3] allowed for non-normally incident angles and curved interfaces.…”
Section: Introductionmentioning
confidence: 99%