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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

A Bloch point represents a three-dimensional hedgehog singularity of a magnetic vector field in which the magnetization vanishes. However, standard micromagnetic theory, developed for magnetic moments of fixed lengths, lacks full…

Topology optimization offers great opportunities to design permanent magnetic systems that have specific external field characteristics. Additive manufacturing of polymer bonded magnets with an end-user 3D printer can be used to manufacture…

A general scheme for increasing the difference in magnetic flux density between a high and a low magnetic field region by removing unnecessary magnet material is presented. This is important in, e.g., magnetic refrigeration where magnet…

Instrumentation and Detectors · Physics 2014-10-13 R. Bjørk , C. R. H. Bahl , A. Smith , N. Pryds

We employ the method of images to derive analytic expressions for the magnetic field of Halbach multipoles that are enclosed in high-permeability shielding.

Accelerator Physics · Physics 2026-04-22 Volker Ziemann

The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is discussed. For weak magnetic fields, the approximate energy values are obtained by semiclassical method. In the case with strong…

Quantum Physics · Physics 2009-11-06 Choon-Lin Ho , V. R. Khalilov

In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity, the oscillations generated by the stiff term are periodic.…

Numerical Analysis · Mathematics 2019-07-11 Philippe Chartier , Nicolas Crouseilles , Mohammed Lemou , Florian Mehats , Xiaofei Zhao

We theoretically study the high-harmonic generation (HHG) in one-dimensional spin systems. While in electronic systems the driving by AC electric fields produces radiation from the dynamics of excited charges, we consider here the situation…

Strongly Correlated Electrons · Physics 2019-05-24 Shintaro Takayoshi , Yuta Murakami , Philipp Werner

We describe the design, construction, and characterization of a permanent magnet based, transverse-field Zeeman slower for lithium atoms. We use off-the-shelf compact permanent bar magnets in the Halbach configuration to create a uniform…

Atomic Physics · Physics 2025-12-23 R. Elbaz , F. Hamodi-Gzal , N. Priel , M. O. Gzal , L. Khaykovich

A HD-like isotopic dipole moment is proposed as a sensible probe for molecular environments, in particular for electrostatic fields and polarizable (reactive) sites of molecules. Fictitious nuclear masses are chosen in order to yield a…

Chemical Physics · Physics 2018-10-02 José R. Mohallem , Paulo F. G. Velloso , Antonio F. C. Arapiraca

The magnetic design is a basic aspect of the superconducting magnets for particle accelerators. When dealing with single aperture cos-theta type dipoles, at the first order, the design can be performed with an analytic approach based on a…

Accelerator Physics · Physics 2019-02-07 Alessandro Maria Ricci , Pasquale Fabbricatore , Stefania Farinon

This paper discusses the theory and numerical method of two-scale analysis for the multiscale Landau-Lifshitz-Gilbert equation in composite ferromagnetic materials. The novelty of this work can be summarized in three aspects: Firstly, the…

Numerical Analysis · Mathematics 2024-03-25 Xiaofei Guan , Hang Qi , Zhiwei Sun

We introduce the idea of discontinuous electric and magnetic fields at a boundary to design and shape wavefronts in an arbitrary manner. To create this discontinuity in the field we use electric and magnetic currents which act like a…

Optics · Physics 2016-12-21 Michael Selvanayagam , George V. Eleftheriades

We investigate a high-order homogenization (HOH) algorithm for periodic multilayered stacks. The mathematical tool of choice is a transfer matrix method. Expressions for effective permeability, permittivity and magnetoelectric coupling are…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 Yan Liu , Sébastien Guenneau , Boris Gralak

Three-dimensional electron phase space holes are shown to be positive charges on the plasma background which produce a radial electric field and force the trapped electron component into an azimuthal drift. In this way electron holes…

Space Physics · Physics 2012-04-20 R. A. Treumann , W. Baumjohann

We consider the magnetic properties of the hollow cylindrical ideal remanence magnet. This magnet is the cylindrical permanent magnet that generates a uniform field in the cylinder bore, using the least amount of magnetic energy to do so.…

Instrumentation and Detectors · Physics 2016-09-28 R. Bjørk

We investigate the existence of magnetohydrostatic equilibria for topologically complex magnetic fields. The approach employed is to perform ideal numerical relaxation experiments. We use a newly-developed Lagrangian relaxation scheme that…

Solar and Stellar Astrophysics · Physics 2017-10-19 Simon Candelaresi , David Pontin , Gunnar Hornig

A metamaterial magnetic flux concentrator is investigated in detail in combination with a Halbach cylinder of infinite length. A general analytical solution to the field is determined and the magnetic figure of merit is determined for a…

Instrumentation and Detectors · Physics 2014-10-24 R. Bjørk , A. Smith , C. R. H. Bahl

A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of…

Accelerator Physics · Physics 2016-09-08 Yannis Papaphilippou , Jie Wei , Richard Talman

External spiral galaxies seen edge-on exhibit X-shape magnetic fields in their halos. Whether the halo of our own Galaxy also hosts an X-shape magnetic field is still an open question. We would like to provide the necessary analytical tools…

Astrophysics of Galaxies · Physics 2015-06-18 Katia Ferriere , Philippe Terral