Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization

@article{Caciagli2018ExactEF,
  title={Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization},
  author={Alessio Caciagli and Roel J. Baars and Albert P Philipse and Bonny W M Kuipers},
  journal={Journal of Magnetism and Magnetic Materials},
  year={2018}
}
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References

SHOWING 1-10 OF 51 REFERENCES
Exact solutions for the magnetic fields of axisymmetric solenoids and current distributions
An analytical method originally developed for fluid mechanics has been applied to the analogous problem of calculating the magnetic field induced by axisymmetric current sheets, disks, and solenoids.…
Evolution and stability of a magnetic vortex in a small cylindrical ferromagnetic particle under applied field
The energy of a displaced magnetic vortex in a cylindrical particle made of isotropic ferromagnetic material (magnetic dot) is calculated taking into account the magnetic dipolar and the exchange…
Fourier space derivation of the demagnetization tensor for uniformly magnetized objects of cylindrical symmetry
The Magnetic Field of a Finite Solenoid
THE MAGNETIC FIELD OF A FINITE SOLENOIDBy Edmund E. Callaghan and Stephen H. MaslenSUMMARYThe axial and radial fields at any point inside or outside a finitesolenoid with infinitely thin walls are…
On the computation of the demagnetization tensor field for an arbitrary particle shape using a Fourier space approach
On the computation of the demagnetization tensor for uniformly magnetized particles of arbitrary shape. Part I: Analytical approach
Calculation of Fields, Forces, and Mutual Inductances of Current Systems by Elliptic Integrals
A minimum‐ordered set of elliptic integral equations is given for magnetic vector potential, axial and radial fields, the mixed gradient ∂B ρ/∂z for axially symmetric iron‐free current systems, and…
Lagrangian Modeling of the Magnetization and the Magnetic Torque on Assembled Soft-Magnetic MEMS Devices for Fast Computation and Analysis
TLDR
The analysis of the Lagrange multiplier allows, for the first time, the analytic prediction of the evolution of the magnetic torque as a function of the direction and magnitude of the applied field.
Demagnetization factors for elliptic cylinders
The magnetometric (volume averaged) demagnetization factors for cylinders with elliptical cross section are computed using a Fourier-space approach and compared with similar results obtained with a…
Cylindrical magnets and ideal solenoids
Both wire-wound solenoids and cylindrical magnets can be approximated as ideal azimuthally symmetric solenoids. We present an exact solution for the magnetic field of an ideal solenoid in an easy to…
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