Electromagnetic wave refraction at an interface of a double wire medium

TL;DR

This paper investigates electromagnetic wave refraction at a double wire medium interface, deriving field expressions and analyzing power flow, highlighting differences between conventional and spatial dispersion-aware models.

Contribution

It introduces an ABC-free approach for wave refraction in wire media, providing new expressions and insights into power flow and spatial dispersion effects.

Findings

Derived explicit expressions for refracted fields and Poynting vectors.

Confirmed power flow conservation at the interface.

Highlighted differences between conventional and spatial dispersion models.

Abstract

Plane-wave reflection and refraction at an interface with a double wire medium is considered. The problem of additional boundary conditions (ABC) in application to wire media is discussed and an ABC-free approach, known in the solid state physics, is used. Expressions for the fields and Poynting vectors of the refracted waves are derived. Directions and values of the power density flow of the refracted waves are found and the conservation of the power flow through the interface is checked. The difference between the results, given by the conventional model of wire media and the model, properly taking into account spatial dispersion, is discussed.