Time-dependent high-contrast subwavelength resonators

TL;DR

This paper introduces a capacitance matrix approach to analyze the band structure of time-dependent subwavelength metamaterials, offering new theoretical insights and numerical methods for wave manipulation.

Contribution

It generalizes static metamaterial analysis to time-dependent systems, providing a novel characterization and computational framework.

Findings

Capacitance matrix characterizes time-dependent band structure

Numerical methods efficiently compute dispersion relations

Structures exhibit unique wave manipulation properties

Abstract

In the field of metamaterials, many intriguing phenomena arise from having a structure which is periodic in space. In time-dependent structures, conceptually similar properties can arise, which nevertheless have fundamentally different physical implications. In this work, we study time-dependent systems in the context of subwavelength metamaterials. The main result is a capacitance matrix characterization of the band structure, which generalizes previous recent work on static subwavelength metamaterials. This characterization provides both theoretical insight and efficient numerical methods to compute the dispersion relationship of time-dependent structures. We exemplify this in several structures exhibiting interesting wave manipulation properties.