Bloch-mode analysis for retrieving effective parameters of metamaterials

Abstract

We introduce a new approach for retrieving effective parameters of metamaterials based on the Bloch-mode analysis of quasi-periodic composite structures. We demonstrate that, in the case of single-mode propagation, a complex effective refractive index can be assigned to the structure, being restored by our method with a high accuracy. We employ both surface and volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes to determine the Bloch and wave impedances, respectively. We discuss how this method works for several characteristic examples, and demonstrate that this approach can be useful for retrieval of both material and wave effective parameters of a broad range of metamaterials.

12 pages, 10 figures

References in corpus (10)

• Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
• Resonant and anti-resonant frequency dependence of the effective parameters of metamaterials
• A Metamaterial Homogenization Approach with Application to the Characterization of Microstructured Composites with Negative Parameters
• Homogenization of resonant chiral metamaterials
• Wave Propagation Retrieval Method For Metamaterials: Unambiguous Restoration Of Effective Parameters
• Finite-difference frequency-domain method for the extraction of effective parameters of metamaterials
• Plasmonic rod dimers as elementary planar chiral meta-atoms
• High symmetry versus optical isotropy of a negative index metamaterial
• Bloch-mode extraction from near-field data in periodic waveguides
• Dispersion extraction with near-field measurements in periodic waveguides

Cited by in corpus (7)

• Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain
• Beyond local effective material properties for metamaterials
• Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• Dual-band, double-negative, polarization-independent metamaterial for the visible spectrum
• Realization of complex conjugate media using non-PT-symmetric photonic crystals
• Interferometric description of optical metamaterials