Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes

Prozorov, R.; Kogan, V. G.

doi:10.1103/PhysRevApplied.10.014030

Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes

Journal Article · Sun Jul 01 00:00:00 EDT 2018 · Physical Review Applied

DOI:https://doi.org/10.1103/PhysRevApplied.10.014030· OSTI ID:1464479

Prozorov, R. ^[1]; Kogan, V. G. ^[2]

Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Physics & Astronomy
Ames Lab., Ames, IA (United States)

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.

Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-07CH11358

OSTI ID:: 1464479

Alternate ID(s):: OSTI ID: 1461931

Report Number(s):: IS-J--9726

Journal Information:: Physical Review Applied, Journal Name: Physical Review Applied Journal Issue: 1 Vol. 10; ISSN 2331-7019; ISSN PRAHB2

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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