Plasma Frequency of Wire Medium Revisited

Fuente: arXiv
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Main Authors: Sakhno, Denis, Belov, Pavel A.
Format: Preprint
Published: 2025
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author Sakhno, Denis
Belov, Pavel A.
author_facet Sakhno, Denis
Belov, Pavel A.
contents This paper revisits a model for the plasma frequency of a simple wire medium formed by a rectangular lattice of parallel metallic wires. We provide a comparative analysis of existing formulae for estimating the plasma frequency and derive a new expression. The proposed formula demonstrates superior accuracy for a square lattice of thin wires, with a relative error of less than $0.16\%$ for the ratio of wires radii to period smaller than $0.13$, significantly outperforming previously known results in this range. For rectangular lattices with the periods ratio from $2$ to $10$ the new formula provides estimations with a relative error less than $2.7\%$ for the ratio of wires radii to the smaller period less than $0.4$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17900
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Plasma Frequency of Wire Medium Revisited
Sakhno, Denis
Belov, Pavel A.
Classical Physics
This paper revisits a model for the plasma frequency of a simple wire medium formed by a rectangular lattice of parallel metallic wires. We provide a comparative analysis of existing formulae for estimating the plasma frequency and derive a new expression. The proposed formula demonstrates superior accuracy for a square lattice of thin wires, with a relative error of less than $0.16\%$ for the ratio of wires radii to period smaller than $0.13$, significantly outperforming previously known results in this range. For rectangular lattices with the periods ratio from $2$ to $10$ the new formula provides estimations with a relative error less than $2.7\%$ for the ratio of wires radii to the smaller period less than $0.4$.
title Plasma Frequency of Wire Medium Revisited
topic Classical Physics
url https://arxiv.org/abs/2505.17900