Additional Boundary Conditions for Nonconnected Wire Media

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.

16 pages, 10 figures, submitted on Mar. 09

References in corpus (9)

• Nonlocal Homogenization Model for a Periodic Array of Epsilon-Negative Rods
• Guiding, focusing, and sensing on the sub-wavelength scale using metallic wire arrays
• Sub-wavelength imaging at infrared frequencies using an array of metallic nanorods
• Three-dimensional metamaterials with an ultra-high effective refractive index over broad bandwidth
• Magnification of Subwavelength Field Distributions at Microwave Frequencies Using a Wire Medium Slab Operating in the Canalization Regime
• Additional Boundary Condition for a Wire Medium Connected to a Metallic Surface
• Broadband Negative Refraction with a Crossed Wire Mesh
• Superlens made of a metamaterial with extreme effective parameters
• Experimental Demonstration of a Structured Material with Extreme Effective Parameters at Microwaves

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