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Magnetism, Volume 6, Issue 2 (June 2026) – 4 articles

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28 pages, 1120 KB  
Article
Domain Walls in a Dipole-Coupled Transverse Magnetic Island Chain
by Gary M. Wysin
Magnetism 2026, 6(2), 18; https://doi.org/10.3390/magnetism6020018 - 12 May 2026
Abstract
I analyze the nonlinear Hamiltonian equations of motion for a one-dimensional chain of transverse magnetic nano-islands, seeking solutions for different types of static domain walls (DWs) connecting uniform static states. The system of elongated magnetic islands oriented transverse (y-direction) to the [...] Read more.
I analyze the nonlinear Hamiltonian equations of motion for a one-dimensional chain of transverse magnetic nano-islands, seeking solutions for different types of static domain walls (DWs) connecting uniform static states. The system of elongated magnetic islands oriented transverse (y-direction) to the chain direction (x-direction) experiences an applied magnetic field transverse to the chain. The macro-spin model includes dipole interactions between islands, their uniaxial and easy-plane anisotropies, and Oersted energy of the applied field. DWs can form most easily between pairs of degenerate uniform states, described by their local magnetizations as oblique, y-parallel, and y-alternating. The DWs between oblique states are well described with scalar φ4 theory. General DW structures are found via a numerical energy relaxation scheme. At some anisotropy and field parameters, nearest-neighbor dipole interactions drive antiferromagnetic order inside the DW itself. Full article
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13 pages, 735 KB  
Article
Characterization of Electromagnetic Field Interaction with a Cylinder Situated Between Two Half-Spaces
by Mohamed Elkattan
Magnetism 2026, 6(2), 17; https://doi.org/10.3390/magnetism6020017 - 5 May 2026
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Abstract
The development of efficient and accurate methods for analyzing electromagnetic scattering by cylindrical objects has theoretical and practical relevance due to its importance in photonics, optoelectronics, antennas, and remote sensing applications. Modal methods are a category of semi-analytical solvers used in modelling electromagnetic [...] Read more.
The development of efficient and accurate methods for analyzing electromagnetic scattering by cylindrical objects has theoretical and practical relevance due to its importance in photonics, optoelectronics, antennas, and remote sensing applications. Modal methods are a category of semi-analytical solvers used in modelling electromagnetic scattering problems. Modal methods have several advantages compared to fully numerical methods, and they are very useful for problems with translational symmetry. In this paper, the interaction of electromagnetic waves with a cylinder with an impedance surface situated between two homogeneous half-spaces with different electromagnetic properties is studied. A forward model of the addressed scattering problem is presented. A theoretical formulation of the problem is deduced within a flexible and comprehensive framework that can be extended to solve other related cylindrical configurations. Furthermore, the modal solver developed within the proposed framework can be further developed to consider other forms of source excitations. Moreover, the impedance-dominant scenario has been investigated, and a convergent scheme has been derived for the special case within this regime. Full article
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11 pages, 316 KB  
Article
Analytic Expressions for Shielded Halbach Multipoles
by Volker Ziemann
Magnetism 2026, 6(2), 16; https://doi.org/10.3390/magnetism6020016 - 20 Apr 2026
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Abstract
Rare-earth-based permanent magnets have the unique ability to create Tesla-strength magnetic fields without the need for power supplies. Moreover, Halbach showed that the fields of assemblies of magnets can be calculated analytically, because the permeability of permanent magnets is very close to unity. [...] Read more.
Rare-earth-based permanent magnets have the unique ability to create Tesla-strength magnetic fields without the need for power supplies. Moreover, Halbach showed that the fields of assemblies of magnets can be calculated analytically, because the permeability of permanent magnets is very close to unity. But that only worked in the absence of materials with a non-unity permeability, which implies that numerical tools must be employed to account, for example, for materials used to shield stray fields. Here we employ the method of images to derive analytic expressions for the magnetic field of Halbach multipoles that are enclosed in infinite-permeability shielding. Full article
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3 pages, 390 KB  
Correction
Correction: Tas et al. Magnetic Properties of All-d Metallic Heusler Compounds: A First-Principles Study. Magnetism 2024, 4, 400–411
by Murat Tas, Ersoy Şaşıoğlu and Iosif Galanakis
Magnetism 2026, 6(2), 15; https://doi.org/10.3390/magnetism6020015 - 8 Apr 2026
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Abstract
There were some errors in the original publication [...] Full article
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