Plasma Frequency of Wire Medium Revisited

TL;DR

This paper revisits and improves the model for plasma frequency in wire media, providing a more accurate formula especially for square and rectangular lattices with thin wires, outperforming previous estimates.

Contribution

A new, more precise formula for plasma frequency in wire media that surpasses existing models in accuracy for various lattice configurations.

Findings

New formula achieves less than 0.16% error for square lattices with thin wires.

For rectangular lattices, the formula has less than 2.7% error across a range of period ratios.

The improved model significantly outperforms previous estimates in specified parameter ranges.

Abstract

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 $0.4$.