2009/03/30 by M. G. Silveirinha, Mário G Silveirinha · 43 citations
Engineering · Materials Science · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Dielectric #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Homogenization (climate) #Lossless compression #Metamaterials and Metasurfaces Applications #Reflection (computer programming) #Work (physics) #cond-mat.mtrl-sci
paper · pdf · doi:10.1088/1367-2630/11/11/113016
published in New Journal of Physics 11(11), 113016 (IOP Publishing) · 16 pages, 10 figures, submitted on Mar. 09
arxiv created 2009/03/30 · openalex publication_date 2009/11/10 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Continuing our recent work (2008 New J. Phys. 10 053011), we demonstrate that due to strong nonlocal effects additional boundary conditions (ABCs) are essential to characterize the reflection of electromagnetic waves by nonconnected wire arrays using homogenization methods.Based on simple physical considerations, we derive the ABCs for circumstances 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 ABCs 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.