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    Rights statement: This is an author-created, un-copyedited version of an article accepted for publication/published in New Journal of Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:

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On spacetime transformation optics: temporal and spatial dispersion

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Article number123010
<mark>Journal publication date</mark>1/12/2016
<mark>Journal</mark>New Journal of Physics
Volume18
Number of pages19
Publication StatusPublished
<mark>Original language</mark>English

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.