Generalized Retrieval Method for Metamaterial Constitutive Parameters Based on a Physically-Driven Homogenization Approach

Abstract

Based on the recently introduced homogenization theory developed in [Phys. Rev. B 84, 075153 (2011)], we propose a generalized retrieval method that allows extracting physically meaningful bulk effective parameters from conventional scattering measurements of periodic metamaterial samples composed of subwavelength inclusions. We show that, compared to conventional approaches, our method is able to capture the anomalous physics in the wave interaction with resonant metamaterials and return physically meaningful homogenized parameters that retain local properties in the long-wavelength limit. As a byproduct, we are also able to retrieve the polarizabilities of the constituent inclusions, which are shown to satisfy expected dispersion properties for passive inclusions, in contrast with conventional retrieval approaches.

21 pages, 4 figures

References in corpus (3)

• First-Principle Homogenization Theory for Periodic Metamaterials
• Restoring the Physical Meaning of Metamaterial Constitutive Parameters
• Magneto-electric point scattering theory for metamaterial scatterers

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• Extraordinarily transparent compact metallic metamaterials
• Beyond local effective material properties for metamaterials
• Omega Transmission Lines with Applications to Effective Medium Models of Metamaterials
• Computational parameter retrieval approach to the dynamic homogenization of a periodic array of rigid rectangular blocks
• On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials, including with Multi-Hyperbolic Fresnel Wave Surfaces
• Dynamical homogenization of a transmission grating