Electromagnetic induction

Materials science

Engineering

Composite material

Moment (physics)

Geometry

Diamagnetism

Physics

Structural engineering

Magnetization

Mathematics

Magnetic moment

Ellipsoid

Astronomy

STRIPS

Quantum mechanics

Electromagnetic coil

Superconductivity

Magnetic field

Demagnetizing field

Transverse plane

Electrical conductor

Condensed matter physics

Classical mechanics

Physical Review Applied

Effective demagnetizing factors that connect the sample 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 by integrating the magnetic induction obtained from a full three dimensional solution of the Maxwell equations using 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. 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.

Effective Demagnetizing Factors of Diamagnetic Samples of Various Shapes