Additional Boundary Conditions for Nonconnected Wire Media

TL;DR

This paper derives and demonstrates the importance of additional boundary conditions for accurately modeling electromagnetic wave reflection in nonconnected wire media, accounting for strong nonlocal effects.

Contribution

It introduces new boundary conditions for wire media adjacent to dielectrics or conductors, improving homogenization models for electromagnetic reflection analysis.

Findings

Additional boundary conditions ensure power conservation in lossless cases.

Number of boundary conditions relates to the number of wires per unit cell.

Application to practical configurations demonstrates model effectiveness.

Abstract

Following our recent work [New J. Phys. 10, 053011, (2008)], here we demonstrate that due to strong nonlocal effects additional boundary conditions are essential to characterize the reflection of electromagnetic waves by nonconnected wire arrays using homogenization methods. Based on simple physical considerations, we derive the additional boundary conditions for the case where the wire medium is adjacent either to a dielectric or to a conducting material, and demonstrate that in the lossless case such boundary conditions ensure the conservation of the power flow. It is shown that the number of additional boundary conditions is related to the number of metallic wires in a unit cell. We illustrate the application of the novel boundary conditions to several configurations with practical interest.