Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes

By Ruslan Prozorov, Vladimir G. Kogan. Physical Review Applied, 2017

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Effective demagnetization factors that connect total magnetic moment with the applied magnetic field are calculated numerically for perfectly diamagnetic samples of various non-ellipsoidal shapes. The procedure is based on calculating total magnetic moment using integration of the magnetic induction over the entire space. The obtained results are relevant for superconductors (and conductors in AC field) when London penetration depth (or skin depth) is much smaller than the sample size. Simple but reasonably accurate approximate formulas are given for practical shapes including rectangular cuboids, finite cylinders in axial and transverse field as well as infinite rectangular and elliptical cross-section strips.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/e65d8f915fc832a1514b051e37e86b2c55338f41