Non-local permittivity from a quasi-static model for a class of wire media

TL;DR

This paper introduces a quasi-static model that explains the non-local dielectric response of wire media through effective inductance and capacitance, aligning well with complex existing solutions and addressing spatial dispersion effects.

Contribution

A simple, physically intuitive quasi-static model for wire media's non-local dielectric behavior is developed and validated against advanced analytical and numerical methods.

Findings

Model accurately predicts dielectric response

Excellent agreement with complex methods

Addresses suppression of spatial dispersion effects

Abstract

A simple quasi-static model applicable to a wide class of wire media is developed that explains strong non-locality in the dielectric response of wire media in clear physical terms of effective inductance and capacitance per unit length of a wire. The model is checked against known solutions and found to be in excellent agreement with the results obtained by much more sophisticated analytical and numerical methods. Special attention is given to suppression of the spatial dispersion effects in wire media.