(IOP Publishing, 2014) García Meca, Carlos; Ortuño Molinero, Rubén; Martí, J.; Martínez, Alejandro; Ingeniería Eléctrica y Electrónica; Ingeniaritza Elektrikoa eta Elektronikoa
We present a method that enables the implementation of full three-dimensional
(3D) transformation media with minimized anisotropy. It is based on a special
kind of shape-preserving mapping and a subsequent optimization process. For
sufficiently smooth transformations, the resulting anisotropy can be neglected,
paving the way for practically realizable 3D devices. The method is independent
of the considered wave phenomenon and can thus be applied to any field for
which a transformational technique exists, such as acoustics or thermodynamics.
Full 3D isotropy has an additional important implication for optical transformation
media, as it eliminates the need for magnetic materials in many situations.
To illustrate the potential of the method, we design 3D counterparts of
transformation-based electromagnetic squeezers and bends.
