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Title: Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes

Abstract

Effective demagnetizing factors that connect the sample magnetic moment with the applied magnetic field are calculated numerically for perfectly diamagnetic samples of various nonellipsoidal shapes. The procedure is based on calculating the total magnetic moment by integrating the magnetic induction obtained from a full three-dimensional (3D) solution of the Maxwell equations using an adaptive mesh. The results are relevant for superconductors (and conductors in ac fields) when the London penetration depth (or the skin depth) is much smaller than the sample size. In conclusion, simple but reasonably accurate approximate formulas are given for practical shapes including rectangular cuboids, finite cylinders in axial and transverse fields, as well as infinite rectangular and elliptical cross-section strips.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Physics & Astronomy
  2. Ames Lab., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Lab., Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1464479
Alternate Identifier(s):
OSTI ID: 1461931
Report Number(s):
IS-J-9726
Journal ID: ISSN 2331-7019; PRAHB2; TRN: US1902390
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Applied
Additional Journal Information:
Journal Volume: 10; Journal Issue: 1; Journal ID: ISSN 2331-7019
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Prozorov, R., and Kogan, V. G. Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes. United States: N. p., 2018. Web. doi:10.1103/PhysRevApplied.10.014030.
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Prozorov, R., & Kogan, V. G. Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes. United States. doi:10.1103/PhysRevApplied.10.014030.
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Prozorov, R., and Kogan, V. G. Sun . "Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes". United States. doi:10.1103/PhysRevApplied.10.014030. https://www.osti.gov/servlets/purl/1464479.
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@article{osti_1464479,
title = {Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes},
author = {Prozorov, R. and Kogan, V. G.},
abstractNote = {Effective demagnetizing factors that connect the sample magnetic moment with the applied magnetic field are calculated numerically for perfectly diamagnetic samples of various nonellipsoidal shapes. The procedure is based on calculating the total magnetic moment by integrating the magnetic induction obtained from a full three-dimensional (3D) solution of the Maxwell equations using an adaptive mesh. The results are relevant for superconductors (and conductors in ac fields) when the London penetration depth (or the skin depth) is much smaller than the sample size. In conclusion, simple but reasonably accurate approximate formulas are given for practical shapes including rectangular cuboids, finite cylinders in axial and transverse fields, as well as infinite rectangular and elliptical cross-section strips.},
doi = {10.1103/PhysRevApplied.10.014030},
journal = {Physical Review Applied},
number = 1,
volume = 10,
place = {United States},
year = {2018},
month = {7}
}
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Journal Article:
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Publisher's Version of Record
DOI:  10.1103/PhysRevApplied.10.014030
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Works referenced in this record:

Simple and approximate expressions of demagnetizing factors of uniformly magnetized rectangular rod and cylinder
journal, July 1989

  • Sato, M.; Ishii, Y.
  • Journal of Applied Physics, Vol. 66, Issue 2
  • DOI: 10.1063/1.343481

Geometric edge barrier in the Shubnikov phase of type-II superconductors
journal, September 2001

The influence of particle shape on dielectric enhancement in metal‐insulator composites
journal, April 1992

  • Doyle, W. T.; Jacobs, I. S.
  • Journal of Applied Physics, Vol. 71, Issue 8
  • DOI: 10.1063/1.350862

Demagnetizing factors for completely shielded rectangular prisms
journal, November 2004

  • Pardo, Enric; Chen, Du-Xing; Sanchez, Alvaro
  • Journal of Applied Physics, Vol. 96, Issue 9
  • DOI: 10.1063/1.1787134

The demagnetizing field of a nonuniform rectangular prism
journal, May 2010

  • Smith, A.; Nielsen, K. K.; Christensen, D. V.
  • Journal of Applied Physics, Vol. 107, Issue 10
  • DOI: 10.1063/1.3385387

Demagnetizing factors for cylinders
journal, July 1991

  • Chen, D. -X.; Brug, J. A.; Goldfarb, R. B.
  • IEEE Transactions on Magnetics, Vol. 27, Issue 4
  • DOI: 10.1109/20.102932

Demagnetizing Field in Nonellipsoidal Bodies
journal, May 1965

  • Joseph, R. I.; Schlömann, E.
  • Journal of Applied Physics, Vol. 36, Issue 5
  • DOI: 10.1063/1.1703091

Meissner-London state in superconductors of rectangular cross section in a perpendicular magnetic field
journal, July 2000

Demagnetizing Factors of the General Ellipsoid
journal, June 1945

Demagnetizing factors for rectangular ferromagnetic prisms
journal, March 1998

  • Aharoni, Amikam
  • Journal of Applied Physics, Vol. 83, Issue 6
  • DOI: 10.1063/1.367113
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