All-dielectric magnetic dipole and Biot–Savart–Laplace law for displacement currents in the ring

M Mikhail M. Bukharin (Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,) L Leonid M. Vasilyak (Joint Institute for High Temperatures, Russian Academy of Sciences 2 , Moscow 125412,) A Alexey Basharin (Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,) B Boris Luk`yanchuk (Faculty of Physics, Lomonosov Moscow State University 3 , Moscow 119991,) A Anar Ospanova (Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,) V Vladimir Ya. Pecherkin (Joint Institute for High Temperatures, Russian Academy of Sciences 2 , Moscow 125412,)

Abstract

We have demonstrated that a dielectric plane ring with a high permittivity excited by an incident plane electromagnetic wave in the GHz frequency range is an almost ideal magnetic dipole for the basic resonance of incident radiation scattering. The scattering fraction of all other multipoles is insignificant and is less than 2 × 10−3 of the main magnetic dipole resonance. Experimentally measured magnetic field distributions near the ring are consistent with the results of computer simulation and the Biot–Savart–Laplace law. Thus, the Biot–Savart–Laplace law can be applied both to calculate conductive structures based on metal rings and to calculate non-conductive structures based on dielectric rings with low losses at GHz frequencies.

Article Details

Volume / Issue Vol. 137, Issue 20
Published May 28, 2025
ISSN 0021-8979
Publisher American Institute of Physics

Journal Info

Journal of Applied Physics

American Institute of Physics

ISSN: 0021-8979 Physical Sciences

Authors (6)

M

Mikhail M. Bukharin

Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,

L

Leonid M. Vasilyak

Joint Institute for High Temperatures, Russian Academy of Sciences 2 , Moscow 125412,

A

Alexey Basharin

Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,

B

Boris Luk`yanchuk

Faculty of Physics, Lomonosov Moscow State University 3 , Moscow 119991,

A

Anar Ospanova

Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISIS 1 , 119049 Moscow,

V

Vladimir Ya. Pecherkin

Joint Institute for High Temperatures, Russian Academy of Sciences 2 , Moscow 125412,