Generalized field-transforming metamaterials
Sergei Tretyakov, Igor Nefedov, Pekka Alitalo

TL;DR
This paper introduces a broad framework for designing metamaterials that can perform customizable linear transformations on electromagnetic fields, enabling the creation of novel devices with tailored field manipulation capabilities.
Contribution
It presents a generalized theory of field-transforming metamaterials with arbitrary spatial and frequency-dependent properties, expanding the design possibilities beyond existing approaches.
Findings
Derived conditions for electromagnetic properties of transforming media.
Showed the generality of the approach for various device implementations.
Highlighted potential for creating unusual electromagnetic devices.
Abstract
In this paper we introduce a generalized concept of field-transforming metamaterials, which perform field transformations defined as linear relations between the original and transformed fields. These artificial media change the fields in a prescribed fashion in the volume occupied by the medium. We show what electromagnetic properties of transforming medium are required. The coefficients of these linear functions can be arbitrary scalar functions of position and frequency, which makes the approach quite general and opens a possibility to realize various unusual devices.
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