Magnetic Susceptibility Estimation for Magnetostatics

Aad Vijn; Eugene Lepelaars; Johan Dubbeldam; Martin Van Gijzen; Arnold Heemink

doi:10.1109/TMAG.2019.2892346

Magnetic Susceptibility Estimation for Magnetostatics

Aad Vijn^*, Eugene Lepelaars, Johan Dubbeldam, Martin Van Gijzen, Arnold Heemink

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

215 Downloads (Pure)

Abstract

This paper presents a parameter estimation method to determine the linear behavior of an object constructed of thin plates. Based on the magnetostatic field equations, an integral equation is derived that fully determines the induced magnetization, whenever the spatial magnetic susceptibility distribution is known. This forward problem is used as an underlying physical model for the parameter estimation method. Using near-field magnetic measurements around a thin plate, the parameter estimation yields a distribution of the magnetic susceptibility. Furthermore, a sensitivity analysis is performed to understand the behavior of this parameter estimation method.

Original language	English
Article number	8630674
Pages (from-to)	1-9
Number of pages	9
Journal	IEEE Transactions on Magnetics
Volume	55
Issue number	3
DOIs	https://doi.org/10.1109/TMAG.2019.2892346
Publication status	Published - 2019

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Forward problem
induced magnetization
inversion
magnetic susceptibility
parameter estimation
regularization

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title = "Magnetic Susceptibility Estimation for Magnetostatics",

abstract = "This paper presents a parameter estimation method to determine the linear behavior of an object constructed of thin plates. Based on the magnetostatic field equations, an integral equation is derived that fully determines the induced magnetization, whenever the spatial magnetic susceptibility distribution is known. This forward problem is used as an underlying physical model for the parameter estimation method. Using near-field magnetic measurements around a thin plate, the parameter estimation yields a distribution of the magnetic susceptibility. Furthermore, a sensitivity analysis is performed to understand the behavior of this parameter estimation method.",

keywords = "Forward problem, induced magnetization, inversion, magnetic susceptibility, parameter estimation, regularization",

author = "Aad Vijn and Eugene Lepelaars and Johan Dubbeldam and {Van Gijzen}, Martin and Arnold Heemink",

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doi = "10.1109/TMAG.2019.2892346",

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AU - Vijn, Aad

AU - Lepelaars, Eugene

AU - Dubbeldam, Johan

AU - Van Gijzen, Martin

AU - Heemink, Arnold

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2019

Y1 - 2019

N2 - This paper presents a parameter estimation method to determine the linear behavior of an object constructed of thin plates. Based on the magnetostatic field equations, an integral equation is derived that fully determines the induced magnetization, whenever the spatial magnetic susceptibility distribution is known. This forward problem is used as an underlying physical model for the parameter estimation method. Using near-field magnetic measurements around a thin plate, the parameter estimation yields a distribution of the magnetic susceptibility. Furthermore, a sensitivity analysis is performed to understand the behavior of this parameter estimation method.

AB - This paper presents a parameter estimation method to determine the linear behavior of an object constructed of thin plates. Based on the magnetostatic field equations, an integral equation is derived that fully determines the induced magnetization, whenever the spatial magnetic susceptibility distribution is known. This forward problem is used as an underlying physical model for the parameter estimation method. Using near-field magnetic measurements around a thin plate, the parameter estimation yields a distribution of the magnetic susceptibility. Furthermore, a sensitivity analysis is performed to understand the behavior of this parameter estimation method.

KW - Forward problem

KW - induced magnetization

KW - inversion

KW - magnetic susceptibility

KW - parameter estimation

KW - regularization

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M3 - Article

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SN - 0018-9464

VL - 55

SP - 1

EP - 9

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 3

M1 - 8630674

ER -

Magnetic Susceptibility Estimation for Magnetostatics

Abstract

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Keywords

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