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We present an analytical solution for the magnetic field of a homogeneously magnetized cylinder tile and by extension solutions for full cylinders, rings, cylinder sectors and ring segments. The derivation is done by direct integration in…

Classical Physics · Physics 2022-06-22 Florian Slanovc , Michael Ortner , Mohssen Moridi , Claas Abert , Dieter Suess

This short article contains the derivation of a general formula for the magnetostatic field in the neighbourhood of an axis of symmetry.

Classical Physics · Physics 2007-05-23 E. Ranz

The magnetic field of a homogeneously magnetized cylindrical tile geometry, i.e. an angular section of a finite hollow cylinder, is found. The field is expressed as the product between a tensor field describing the geometrical part of the…

Computational Engineering, Finance, and Science · Computer Science 2020-04-27 K. K. Nielsen , R. Bjørk

The magnetic field from a uniformly magnetised, rectangular prism is known exactly, which is the basis for a large number of micromagnetic simulations. Here we derive an analytical solution for the field from a periodically repeating…

Materials Science · Physics 2026-04-15 Frederik Laust Durhuus , Andrea Roberto Insinga , Rasmus Bjørk

The magnetic field generated by an electron bound in a spherically symmetric potential is calculated for eigenstates of the orbital and total angular momentum. General expressions are presented for the current density in such states and the…

Quantum Physics · Physics 2009-10-31 K. Ayuel , P. F. de Chatel

For magnetic field calculations, cylindrical permanent magnets are often approximated as ideal, azimuthally symmetric solenoids. Despite the frequent usage of this approximation, research papers demonstrating the validity and limitations of…

Instrumentation and Detectors · Physics 2022-07-21 David Shulman

Using mean-field theory, we compute the evolution of the magnetic field in a cylinder with outer perfectly conducting boundaries, an imposed axial magnetic and electric field. The thus injected magnetic helicity in the system can be…

Plasma Physics · Physics 2012-03-27 Koen Kemel , Axel Brandenburg , Hantao Ji

The theoretical investigation on magnetization dynamics excited by the spin Hall effect in metallic multilayers having two ferromagnets is discussed. The relaxation of the transverse spin in one ferromagnet enables us to manipulate the…

Mesoscale and Nanoscale Physics · Physics 2018-10-19 Tomohiro Taniguchi

The Inverse problem for an electromagnetic field produced by a dipole is solved. It is assumed that the field of an arbitrary changing dipole is known. Obtained formulae allow calculation of the position and dynamics of the dipole which…

Classical Physics · Physics 2015-09-10 V. Epp , J. Janz

Magnetization reversal in permanent magnets occurs by the nucleation and expansion of reversed domains. Micromagnetic theory offers the possibility to localize the spots within the complex structure of the magnet where magnetization…

Materials Science · Physics 2018-05-25 J. Fischbacher , A. Kovacs , L. Exl J. Kühnel , E. Mehofer , H. Sepehri-Amin , T. Ohkubo , K. Hono , T. Schrefl

We consider a ferrofluid cylinder, that is rotating with constant rotation frequency \Omega e_z as a rigid body. A homogeneous magnetic field H_0 e_x is applied perpendicular to the cylinder axis e_z. This causes a nonequilibrium situation.…

Fluid Dynamics · Physics 2007-05-23 A. Leschhorn , M. Lücke

We derive a closed-form expression of the magnetic field of a finite-size current sheet and use it to calculate the field of permanent magnets, which are modeled through their surface current densities. We illustrate the method by…

Applied Physics · Physics 2022-11-02 Volker Ziemann

An artificial spin ice consisting of numerous ferromagnets has attracted attention because of its applicability to practical devices. The ferromagnets interact through their stray magnetic field and show various functionality. The…

Mesoscale and Nanoscale Physics · Physics 2023-10-27 Tomohiro Taniguchi

A high-amplitude microwave magnetic field localized at the nanoscale is a desirable tool for various applications within the rapidly developing field of nanomagnetism. Here, we drive magnetization precession by coherent phonons in a metal…

We present a target field approach to analytically design magnetic fields using permanent magnets. We assume that their magnetisation is bound to a two-dimensional surface and is composed of a complete basis of surface modes. By posing the…

Applied Physics · Physics 2024-05-24 Peter J. Hobson , Chris Morley , Alister Davis , Thomas Smith , Mark Fromhold

Using micromagnetics we demonstrate that the r.f. field produced by a spin valve can be used to reverse the magnetization in a magnetic nanoparticle. The r.f. field is generated using a current that specifically excites a uniform spin wave…

Materials Science · Physics 2009-11-13 K. Rivkin , J. Ketterson , W. Saslow

The spins, which are accumulated at a boundary of a nanomagnet due to the Spin Hall effect, induce a magnetic field, which tilts the nanomagnet magnetization out of its easy axis. Even though this magnetic field is relatively small (about…

Mesoscale and Nanoscale Physics · Physics 2021-11-05 Vadym Zayets

Thin nanomagnetic rings have generated interest for fundamental studies of magnetization reversal and also for their potential in various applications, particularly as magnetic memories. They are a rare example of a geometry in which an…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Gabriel D. Chaves-O'Flynn , Ke Xiao , D. L. Stein , A. D. Kent

In this work, we present a simple and low-cost experiment designed to study the oscillations of the magnetic field created by a cylindrical magnet under two different conditions: far and short distances from the magnetic sensor. A Taylor…

A closed-form solution for the magnetic scalar potential generated by a uniformly magnetized cylindrical slice and a full cylinder is determined by solving Poisson's equation analytically. The solution is given in terms of elliptic…

Classical Physics · Physics 2025-12-15 Rasmus Bjørk
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