English

On Spacetime Transformation Optics: Temporal and Spatial Dispersion

Optics 2017-03-22 v2

Abstract

The electromagnetic implementation of cloaking, the hiding of objects from sight by diverting and reassembling illuminating electromagnetic fields has now been with us ten years, while the notion of hiding events is now five. Both schemes as initially presented neglected the inevitable dispersion that arises when a designed medium replaces vacuum under transformation. Here we define a transformation design protocol that incorporates both spacetime transformations and dispersive material responses in a natural and rigorous way. We show how this methodology is applied to an event cloak designed to appear as a homogeneous and isotropic but dispersive medium. The consequences for spacetime transformation design in dispersive materials are discussed, and some parameter and bandwidth constraints identified.

Keywords

Cite

@article{arxiv.1608.00496,
  title  = {On Spacetime Transformation Optics: Temporal and Spatial Dispersion},
  author = {Jonathan Gratus and Paul Kinsler and Martin W. McCall and Robert T. Thompson},
  journal= {arXiv preprint arXiv:1608.00496},
  year   = {2017}
}
R2 v1 2026-06-22T15:09:16.205Z