Near-field interaction of twisted split-ring resonators

TL;DR

This paper investigates the near-field interactions of twisted split-ring resonators, revealing a crossing point in dispersion curves and modeling the effects of losses and fabrication errors on mode degeneracy.

Contribution

It introduces a new analytical model for near-field interactions in stereometamaterials and explains the mode crossing phenomenon considering losses and fabrication imperfections.

Findings

Discovery of a crossing point in dispersion curves.

Development of a model describing magnetic and electric near-field interplay.

Analysis of how losses and fabrication errors affect mode degeneracy.

Abstract

We present experimental, numerical and analytical results for the study of near-field interaction of twisted split-ring resonators, the basic elements of the so-called stereometamaterials. In contrast to previous results, we observe a crossing point in the dispersion curves where the symmetric and antisymmetric modes become degenerate. We introduce a model to describe the interplay between magnetic and electric near-field interactions and demonstrate how this model describes the crossing of the dispersion curves, initially considering lossless identical resonators. Finally, we apply the theory of Morse critical points to demonstrate the competition between losses and fabrication errors in determining whether or not symmetric and antisymmetric modes cross.