Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes
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 threedimensional (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 crosssection strips.
 Authors:

^{[1]};
^{[2]}
 Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Physics & Astronomy
 Ames Lab., Ames, IA (United States)
 Publication Date:
 Report Number(s):
 ISJ9726
Journal ID: ISSN 23317019; PRAHB2
 Grant/Contract Number:
 AC0207CH11358
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Applied
 Additional Journal Information:
 Journal Volume: 10; Journal Issue: 1; Journal ID: ISSN 23317019
 Publisher:
 American Physical Society (APS)
 Research Org:
 Ames Laboratory (AMES), Ames, IA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22). Materials Sciences & Engineering Division; USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1464479
 Alternate Identifier(s):
 OSTI ID: 1461931
Prozorov, R., and Kogan, V. G.. Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes. United States: N. p.,
Web. doi:10.1103/PhysRevApplied.10.014030.
Prozorov, R., & Kogan, V. G.. Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes. United States. doi:10.1103/PhysRevApplied.10.014030.
Prozorov, R., and Kogan, V. G.. 2018.
"Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes". United States.
doi:10.1103/PhysRevApplied.10.014030.
@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 threedimensional (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 crosssection strips.},
doi = {10.1103/PhysRevApplied.10.014030},
journal = {Physical Review Applied},
number = 1,
volume = 10,
place = {United States},
year = {2018},
month = {7}
}