Slow waves in magnetic metamaterials: history, fundamentals and applications

Abstract

Magnetic metamaterials consist of small metallic resonators of the split ring type. Microscopic properties of these structures are governed by near field coupling between individual elements. This strongly anisotropic coupling leads to propagation of slow magnetoinductive waves with the wavelength much shorter than that of the electromagnetic radiation. This opens up novel possibilities of designing miniaturised subwavelength waveguide components and near‐field lenses in a wide range of frequencies, from radio frequencies, with a potential for medical applications in MRI, to the IR and visible range, aiming at fast signal processing. This paper provides an overview of contributions that led to the birth of the subject of magnetic metamaterials. The properties of slow waves on magnetic metamaterials including their dispersion characteristics, excitation and applications are discussed. The emphasis is laid on phenomena such as backward and forward slow waves, polaritonic hybridization of the interaction of a metamaterial with an incident electromagnetic wave yielding negative values of magnetic permeability, the possibility of positive and negative refraction of slow waves as well as mechanisms for near field subwavelength imaging. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

From Rejection to Transmission With Stacked Arrays of Split Ring Resonators

“…As a last comment it is worth mentioning that the reversal of the magnetic field orientation pointed out by the field mapping in Fig. 4 is different from those found in axially stacked resonators which produce forward MI waves [17].…”

“…Additionally to the conclusions from the illustrated field mappings, this propagation mode shows a negative slope in the dispersion diagram around the operating frequency (zoomed in inset), which confirms the backward wave propagation. This resonant mode is associated to a MI wave effect created in each SRR surface, by proximity coupling [17]. In other words, the surface MI waves in the up layer interface are coupled to the bottom one by mixing inductive and capacitive contributions.…”

Design of a low-cost wireless reader for an electromagnetic passive temperature sensor

“…Sin embargo, el acoplo axial entre dos resonadores decrece de manera no lineal cuando se aumenta la distancia, CAPÍTULO 3. SISTEMAS DE LECTURA DE ETIQUETAS PASIVAS SIN CHIP como se explica en [104]. Si la distancia es pequeña comparada con los resonadores (3 mm y 5 mm), el factor de acoplo está en el mismo orden de magnitud.…”

Driven linear modes: Analytical solutions for finite discrete systems

“…It may also arise from models of inductively coupled AC driven rf-SQUID arrays 9-11 , from models of inductively coupled intrinsic Josephson junctions supplied by AC current 12-15 , and also from nonlinear magnetic metamaterial models that are comprised of split-ring resonators placed in an AC magnetic field [16][17][18] . In the latter case, those linear waves are known as (linear) magnetoinductive waves 19,20 , and they have phononlike dispersion curves 21 and many prospects for device applications [22][23][24] . In the present work we present analytical solutions that we have obtained for DLMs in finite and discrete systems, with frequencies either in the linear wave band (LWB) obtained in the usuall way, or outside that band.…”