Demagnetizing Factors for a Hollow Sphere

Jordi Prat-Camps; Carles Navau; Alvaro Sanchez; Du Xing Chen

doi:https://doi.org/10.1109/LMAG.2015.2501281

Demagnetizing Factors for a Hollow Sphere

Jordi Prat-Camps, Carles Navau, Alvaro Sanchez, Du Xing Chen

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

6 Citations (Scopus)

Abstract

© 2010-2012 IEEE. The demagnetization problem for a hollow sphere of inner radius a, outer radius b, and material susceptibility Ï‡ is solved analytically. As a/b increases from 0 to 1, the magnetometric demagnetizing factor Nm decreases from 1/3 when Ï‡ > 0 and increases from 1/3 when Ï‡ < 0. In the limit a/b = 1, Nm decreases from 1 to 0 as Ï‡ increases from -1 to -. As a/b increases from 0 to 1, the fluxmetric demagnetizing factor N f decreases from 1/3 and has a negative minimum when Ï‡ < -3/4. These features are explained conceptually and quantitatively. As an application, magnetic shielding by a spherical shell is quantitatively analyzed.

Original language	English
Article number	7329945
Journal	IEEE Magnetics Letters
Volume	7
DOIs	https://doi.org/10.1109/LMAG.2015.2501281
Publication status	Published - 1 Jan 2016

Keywords

Demagnetization
Ellipsoids
Magnetic noise
Magnetic shielding
Magnetic susceptibility
Magnetization
Magnetometers

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title = "Demagnetizing Factors for a Hollow Sphere",

abstract = "{\textcopyright} 2010-2012 IEEE. The demagnetization problem for a hollow sphere of inner radius a, outer radius b, and material susceptibility {\"I}‡ is solved analytically. As a/b increases from 0 to 1, the magnetometric demagnetizing factor Nm decreases from 1/3 when {\"I}‡ > 0 and increases from 1/3 when {\"I}‡ < 0. In the limit a/b = 1, Nm decreases from 1 to 0 as {\"I}‡ increases from -1 to -. As a/b increases from 0 to 1, the fluxmetric demagnetizing factor N f decreases from 1/3 and has a negative minimum when {\"I}‡ < -3/4. These features are explained conceptually and quantitatively. As an application, magnetic shielding by a spherical shell is quantitatively analyzed.",

keywords = "Demagnetization, Ellipsoids, Magnetic noise, Magnetic shielding, Magnetic susceptibility, Magnetization, Magnetometers",

author = "Jordi Prat-Camps and Carles Navau and Alvaro Sanchez and Chen, {Du Xing}",

year = "2016",

month = jan,

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doi = "https://doi.org/10.1109/LMAG.2015.2501281",

language = "English",

volume = "7",

journal = "IEEE Magnetics Letters",

issn = "1949-307X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - Demagnetizing Factors for a Hollow Sphere

AU - Prat-Camps, Jordi

AU - Navau, Carles

AU - Sanchez, Alvaro

AU - Chen, Du Xing

PY - 2016/1/1

Y1 - 2016/1/1

N2 - © 2010-2012 IEEE. The demagnetization problem for a hollow sphere of inner radius a, outer radius b, and material susceptibility Ï‡ is solved analytically. As a/b increases from 0 to 1, the magnetometric demagnetizing factor Nm decreases from 1/3 when Ï‡ > 0 and increases from 1/3 when Ï‡ < 0. In the limit a/b = 1, Nm decreases from 1 to 0 as Ï‡ increases from -1 to -. As a/b increases from 0 to 1, the fluxmetric demagnetizing factor N f decreases from 1/3 and has a negative minimum when Ï‡ < -3/4. These features are explained conceptually and quantitatively. As an application, magnetic shielding by a spherical shell is quantitatively analyzed.

AB - © 2010-2012 IEEE. The demagnetization problem for a hollow sphere of inner radius a, outer radius b, and material susceptibility Ï‡ is solved analytically. As a/b increases from 0 to 1, the magnetometric demagnetizing factor Nm decreases from 1/3 when Ï‡ > 0 and increases from 1/3 when Ï‡ < 0. In the limit a/b = 1, Nm decreases from 1 to 0 as Ï‡ increases from -1 to -. As a/b increases from 0 to 1, the fluxmetric demagnetizing factor N f decreases from 1/3 and has a negative minimum when Ï‡ < -3/4. These features are explained conceptually and quantitatively. As an application, magnetic shielding by a spherical shell is quantitatively analyzed.

KW - Demagnetization

KW - Ellipsoids

KW - Magnetic noise

KW - Magnetic shielding

KW - Magnetic susceptibility

KW - Magnetization

KW - Magnetometers

U2 - https://doi.org/10.1109/LMAG.2015.2501281

DO - https://doi.org/10.1109/LMAG.2015.2501281

M3 - Article

VL - 7

JO - IEEE Magnetics Letters

JF - IEEE Magnetics Letters

SN - 1949-307X

M1 - 7329945

ER -