Computational Electromagnetics and Model-Based Inversion

Sabbagh, Harold A.; Murphy, R. Kim; Sabbagh, Elias H.; Aldrin, John C.; Knopp, Jeremy S.

doi:10.1007/978-1-4419-8429-6

Cited by 34 publications

(16 citation statements)

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“…In our model-based inverse problems, the impedance Z = g(p 1 , · · · , p N , f ) which depends on N unknown parameters p N (such as length, width, depth) and a control parameter f (such as frequency, scan-position, lift-off) [3]. In order to determine p 1 …”

Section: Methodsmentioning

confidence: 99%

“…The problem consists of a split-D probe of the type shown in Fig. 1, and which was analyzed in [3] that is scanned past a rectangular slot whose dimensions are 1mm×2mm×3mm. The probe is vertical to the surface of the workpiece, but is rotated about its axis by 22…”

Section: Methodsmentioning

confidence: 99%

“…With this method, a powerful interpolation can be made with fewer support nodes than that on a full grid. In this work, we combined the sparse grid toolbox, TASMANIAN [2], which is produced by Oak Ridge National Laboratory, and professional eddy-current NDE software,VIC-3D R [3], to solve a specific inverse problem. …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Advanced model of eddy-current NDE inverse problem with sparse grid algorithm

Zhou¹,

Sabbagh²,

Sabbagh³

et al. 2017

AIP Conference Proceedings

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Abstract. In model-based inverse problem, some unknown parameters need to be estimated. These parameters are used not only to characterize the physical properties of cracks, but also to describe the position of the probes (such as lift off and angles) in the calibration. After considering the effect of the position of the probes in the inverse problem, the accuracy of the inverse result will be improved. With increasing the number of the parameters in the inverse problems, the burden of calculations will increase exponentially in the traditional full grid method. The sparse grid algorithm, which was introduced by Sergey A. Smolyak, was used in our work. With this algorithm, we obtain a powerful interpolation method that requires significantly fewer support nodes than conventional interpolation on a full grid. In this work, we combined sparse grid toolbox TASMANIAN, which is produced by Oak Ridge National Laboratory, and professional eddy-current NDE software, VIC-3D R , to solve a specific inverse problem. An advanced model based on our previous one is used to estimate length and depth of the crack, lift off and two angles of the position of probes. Considering the calibration process, pseudorandom noise is considered in the model and statistical behavior is discussed.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Advanced model of eddy-current NDE inverse problem with sparse grid algorithm

Zhou¹,

Sabbagh²,

Sabbagh³

et al. 2017

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Methodsmentioning

confidence: 99%

“…With this method, a powerful interpolation can be made with fewer support nodes than that on a full grid. In this work, we combined the sparse grid toolbox, TASMANIAN [2], which is produced by Oak Ridge National Laboratory, and professional eddy-current NDE software VIC-3D R [3] to solve a specific inverse problem. In this problem, a crack was simulated by four blocks which each of them having a different depth.…”

Section: Introductionmentioning

confidence: 99%