Additional Boundary Condition for a Wire Medium Connected to a Metallic Surface

Abstract

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 is considered. The additional boundary condition 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 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.

26 pages; under review

References in corpus (11)

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• Strong spatial dispersion in wire media in the very large wavelength limit
• Sub-wavelength imaging by wire media
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• Nonlocal Homogenization Model for a Periodic Array of Epsilon-Negative Rods
• Sub-wavelength imaging at infrared frequencies using an array of metallic nanorods
• Additional Boundary Condition for the Wire Medium
• Magnification of Subwavelength Field Distributions at Microwave Frequencies Using a Wire Medium Slab Operating in the Canalization Regime
• Nonlocal electrodynamics of two-dimensional wire mesh photonic crystals
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Cited by in corpus (16)

• Non-local permittivity from a quasi-static model for a class of wire media
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• Effects of Spatial Dispersion on Reflection from Mushroom-type Artificial Impedance Surfaces
• Boundary Effects on the Determination of Metamaterial Parameters from Normal Incidence Reflection and Transmission Measurements
• Additional Boundary Conditions for Nonconnected Wire Media
• Superlens made of a metamaterial with extreme effective parameters
• Miniaturized Circular-Waveguide Probe Antennas Using Metamaterial Liners
• Light tunneling anomaly in interlaced metallic wire meshes
• Spatially Dispersive Inhomogeneous Electromagnetic Media with Periodic Structure
• Wave Analysis and Homogenization of Spatiotemporally Modulated Wire Medium
• Lateral Optical Forces on Linearly-Polarized Emitters near a Reciprocal Substrate
• Macroscopic Electromagnetic Response of Arbitrarily Shaped Spatially Dispersive Bodies formed by Metallic Wires
• A resolution of the problem of additional boundary conditions
• Inhomogeneous Spatially Dispersive Electromagnetic Media
• Effective Local Permittivity Model for Non-Local Wire Media
• An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media with Arbitrary Terminations