<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Moraitis, P</style></author><author><style face="normal" font="default" size="100%">K. L. Tsakmakidis</style></author><author><style face="normal" font="default" size="100%">Stamopoulos, D.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The response of a magnetic and dielectric cylinder subjected to an external magnetic and electric field of any form on the plane normal to the directional axis</style></title><secondary-title><style face="normal" font="default" size="100%">Physica Scripta</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2025</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://iopscience.iop.org/article/10.1088/1402-4896/adfd2c</style></url></web-urls></urls><pages><style face="normal" font="default" size="100%">(33 pages)</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;span&gt;Here we report definite results on the mathematical metabolization of Maxwell’s equations in one of the building units, most commonly met in practice. We investigate the static/quasi-static case of a linear, homogeneous and isotropic magnetic and dielectric cylinder of intrinsic susceptibility, xint, subjected to an external potential/field, Uext/Fext, of any form on the plane normal to the directional axis, produced by a primary source that resides at the outside space. Specifically, here we address analytically a magnetic and dielectric cylinder of seemingly infinite length along the z axis, subjected to an external potential/field, Uext/Fext, that does not vary along the z axis, as well. An expansion-based mathematical approach is employed, enabling direct access to universal expressions of the response of the magnetic and dielectric cylinder, i.e., the internal potential/field, Uint/Fint, produced by the secondary source of bound charges that is originally induced by the external potential/field, Uext/Fext. Accordingly, ready-to-use expressions of the total potential/field, U=Uext+Uint/F=Fext+Fint, and of the polarization, P, of the magnetic and dielectric cylinder are directly obtained. These universal expressions are applicable to every distinct problem of different Uext/Fext, without the need to tackle it mathematically, every time, from the beginning. Interestingly, the depolarization factor, N, and extrinsic susceptibility, xext, are degenerate, obtaining a constant value irrespectively of the mode of the external potential/field, Uext/Fext. These universal expressions between Uint-Uext, U-Uext, Fint-Fext, F-Fint and P-Fext provide effective means to understand, design and realize cylindrical building units with specific characteristics.&lt;/span&gt;</style></abstract></record></records></xml>