Transformation optics for cavity array metamaterials
James Q. Quach, Chun-Hsu Su, and Andrew D. Greentree

TL;DR
This paper introduces a new transformation optics framework tailored for cavity array metamaterials, enabling device design by transforming internal geometry and tuning permittivity, demonstrated through a cloaking example.
Contribution
It develops a novel approach for applying transformation optics to cavity array metamaterials, overcoming size constraints of traditional methods.
Findings
Successfully designed a CAM-based cloak
Demonstrated geometry transformation and permittivity tuning
Provided a practical framework for CAM device engineering
Abstract
Cavity array metamaterials (CAMs), composed of optical microcavities in a lattice coupled via tight-binding interactions, represent a novel architecture for engineering metamaterials. Since the size of the CAMs' constituent elements are commensurate with the operating wavelength of the device, it cannot directly utilise classical transformation optics in the same way as traditional metamaterials. By directly transforming the internal geometry of the system, and locally tuning the permittivity between cavities, we provide an alternative framework suitable for tight-binding implementations of metamaterials. We develop a CAM-based cloak as the case study.
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