2007/11/28 by Mário G. Silveirinha, Mario G. Silveirinha, Carlos A. Fernandes +1 · 73 citations
Engineering · Materials Science · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Anisotropy #Boundary (topology) #Boundary value problem #Composite material #Condensed matter physics #Electrical impedance #Electromagnetic Scattering and Analysis #Geometry #Ground plane #Homogenization (climate) #Materials science #Mathematical analysis #Metal #Metallurgy #Metamaterials and Metasurfaces Applications #Microstructure #Optics #Physics #Substrate (aquarium) #Surface (topology) #cond-mat.mtrl-sci
paper · pdf · doi:10.1088/1367-2630/10/5/053011
published in New Journal of Physics 10(5), 053011 (IOP Publishing) · 26 pages; under review
arxiv created 2007/11/28 · openalex publication_date 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we demonstrate that the interaction of electromagnetic waves with a microstructured material formed by metallic wires connected to a metallic surface can be described using homogenization methods provided an additional boundary condition (ABC) is considered. The ABC is derived by taking into account the specific microstructure of the wire medium. To illustrate the application of the result, we characterize a substrate formed by an array of tilted metallic wires connected to a ground plane, demonstrating that in such a configuration the wire medium behaves essentially as a material with extreme optical anisotropy and that in some circumstances the substrate can be seen as an impedance surface.