Three-dimensional Electromagnetic Void Space
Changqing Xu, Hongchen Chu, Jie Luo, Zhi Hong Hang, Ying Wu, Yun Lai

TL;DR
This paper introduces a 3D electromagnetic void space realized through all-dielectric photonic crystals, exhibiting unique wave manipulation properties such as boundary control, wave steering, and impurity immunity, both theoretically and experimentally.
Contribution
It demonstrates the creation of a 3D electromagnetic void space with vanishing permittivity and permeability, enabling unprecedented control over electromagnetic waves.
Findings
Realization of 3D electromagnetic void space with Dirac-like dispersion.
Experimental demonstration of boundary-control transmission switching.
Observation of impurity-immunity in 3D void space.
Abstract
We report a realization of three-dimensional (3D) electromagnetic void space. Despite occupying a finite volume of space, such a medium is optically equivalent to an infinitesimal point where electromagnetic waves experience no phase accumulation. The 3D void space is realized by constructing all-dielectric 3D photonic crystals such that the effective permittivity and permeability vanish simultaneously, forming a six-fold Dirac-like point with Dirac-like linear dispersions at the center of the Brillouin Zone. We demonstrate, both theoretically and experimentally, that such a 3D void space exhibits unique properties and rich functionalities absent in any other electromagnetic media, such as boundary-control transmission switching and 3D perfect wave-steering mechanisms. Especially, contrary to the photonic "doping" effect in its two-dimensional counterpart, the 3D void space exhibits an…
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