Classification of materials for conducting spheroids based on the first order polarization tensor

Khairuddin, TK Ahmad; Yunos, Nurhazirah Mohamad; Aziz, Zarith Asyikin Abdul; Ahmad, Tahir; Lionheart, William R B

doi:10.1088/1742-6596/890/1/012035

“…A range of mathematical formulations have been proposed and used to calculate magnetic polarization tensor for the purpose of metal detection. Khairuddin et al proved the first order polarization tensor of the spheroids and ellipsoids can be used to classify different conductivities of spheroid/ellipsoid samples [21][22]. Khairuddin et al using the hp-FEM method to calculate the polarization tensor of the sample.…”

Section: Introductionmentioning

confidence: 99%

Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

Jin

¹

,

Qin

²

,

Fan

³

et al. 2021

Preprint

0

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The magnetic polarization tensor has a promising capability of determining the geometry and material properties of metallic samples. In this paper, a novel computation method is proposed to estimate the magnetic polarization tensors for the metallic samples using the boundary element method. In this method, the metallic sample is placed in a uniformly distributed magnetic field. Based on assumptions that the excitation frequency and/or the conductivity of the sample is very high, the metallic sample is regarded as a perfect electrical conductor (PEC). Therefore, the scattered field at a certain distance can be simulated. By utilising the boundary element method, the magnetic polarization tensor can be derived from the simulated scattered field. The theoretical calculation is presented and simulations and experiments have been carried out to validate the proposed method. The results from the simulation are matched with the analytical solution for the case of sphere samples. Moreover, there is a good agreement between the simulation results and the experimental results for the copper cylindrical samples.

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“…However, compared with FEM method, BEM method has the advantage of fast computation speed. Khairuddin et al proved the first order polarization tensor of the spheroids and ellipsoids can be used to classify different conductivities of spheroid/ellipsoid samples [21][22]. Khairuddin et al using the hp-FEM method to calculate the polarization tensor of the sample.…”

Section: Introductionmentioning

confidence: 99%

Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

Jin¹,

Qin²,

Fan³

et al. 2021

IEEE Access

1

0

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The magnetic polarization tensor has a promising capability of determining the geometry and material properties of metallic samples. In this paper, a novel computation method is proposed to estimate the magnetic polarization tensors for the metallic samples using the boundary element method. In this method, the metallic sample is placed in a uniformly distributed magnetic field. Based on assumptions that the excitation frequency and/or the conductivity of the sample is very high, the metallic sample is regarded as a perfect electrical conductor (PEC). Therefore, the scattered field at a certain distance can be simulated. By utilising the boundary element method, the magnetic polarization tensor can be derived from the simulated scattered field. The theoretical calculation is presented and simulations and experiments have been carried out to validate the proposed method. The results from the simulation are matched with the analytical solution for the case of sphere samples. Moreover, there is a good agreement between the simulation results and the experimental results for the copper cylindrical samples.INDEX TERMS Boundary element method (BEM), magnetic polarization tensor, magnetic induction, dipole approximation.

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“…Given the conductivity and geometry of the object, by solving system of integral equation, the associated GPT in the matrix form or in some literatures known as PT for object with specific conductivity can be determined. In other words, given GPT due to the presence of a known or unknown object, the geometry and conductivity of the related object can be described or predicted (15)(16)(17).…”

Section: Introductionmentioning

confidence: 99%

The Effect of Translation on the Approximated First Order Polarization Tensor of Sphere and Cube

Sukri

¹

,

Khairuddin

²

,

Hoe

³

2020

Opn J Sci & Tech

0

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Throughout this paper, the translation effect on the first order polarization tensor approximation for different type of objects will be highlighted. Numerical integration involving quadratic element as well as linear element for polarization tensor approximation will be presented. Here, we used different positions of an object of fixed size and conductivity when computing the first order polarization tensor. From the numerical results of computed first order polarization tensor, the convergence for every translation is observed. Moreover, discretization of the geometric objects into triangular meshes was done by using meshing software called NETGEN mesh generator while for the numerical computation, MATLAB software was used. We found that the translation has no effect on the approximated first order PT for sphere and cube after we have computed the first order PT for both geometries with a few center of masses. The numerical results of approximated first order polarization tensor is plotted by comparing the numerical results with analytical solution provided.

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Classification of materials for conducting spheroids based on the first order polarization tensor

Cited by 4 publications

References 20 publications

Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

The Effect of Translation on the Approximated First Order Polarization Tensor of Sphere and Cube

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