PreprintCC BY 4.0arXiv
Efficient calculation of inductive coupling for arrays of wire ring resonators
Abstract
Generalization of the inductance to the case of non-quasistatic electromagnetic field oscillations appears to be fruitful when considering wireless power transfer and RF metamaterials consisting of thin wire loop meta-atoms. When dealing with large systems of interacting loops carrying currents, efficiency and precision of calculation in the presence of retardation is crucial. In this work, we derive a series expansion of such generalized inductance and propose a way for its efficient numerical approximation. Illustrative examples are provided both for inductance convergence of a pair of two loops and extinction efficiency for scattering by metamaterial samples.
Related
- Efficient Ground-State Manifold Amplification for Rydberg Atom Arrays via Houdayer Cluster Updates
- The inductive Navarro-Alperin weight condition for the Suzuki and Ree groups
- Nice Partitions of Signed-Graphic Arrangements Are Inductive Factorizations
- An Order-Theoretic Characterization of Consistent Inductive Inference
- Loose Inductive Set Theories
BibTeX
@misc{zhogolev2026efficient,
title = {{Efficient calculation of inductive coupling for arrays of wire ring resonators}},
author = {Stepan K. Zhogolev and Mikhail Y. Petrov and Aleksandr O. Makarenko and Mikhail Lapine and Alexey A. Shcherbakov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14322},
eprint = {2609.14322},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14322},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Efficient calculation of inductive coupling for arrays of wire ring resonators
AU - Stepan K. Zhogolev
AU - Mikhail Y. Petrov
AU - Aleksandr O. Makarenko
AU - Mikhail Lapine
AU - Alexey A. Shcherbakov
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2609.14322
UR - https://arxiv.org/abs/2609.14322
AB - Generalization of the inductance to the case of non-quasistatic electromagnetic field oscillations appears to be fruitful when considering wireless power transfer and RF metamaterials consisting of thin wire loop meta-atoms. When dealing with large systems of interacting loops carrying currents, efficiency and precision of calculation in the presence of retardation is crucial. In this work, we derive a series expansion of such generalized inductance and propose a way for its efficient numerical approximation. Illustrative examples are provided both for inductance convergence of a pair of two loops and extinction efficiency for scattering by metamaterial samples.
ER -