title: Nonlocal transformation optics.
abstract: We show that the powerful framework of transformation optics may be exploited for engineering the nonlocal response of artificial electromagnetic materials. Relying on the form-invariant properties of coordinate-transformed Maxwell's equations in the spectral domain, we derive the general constitutive "blueprints" of transformation media yielding prescribed nonlocal field-manipulation effects and provide a physically incisive and powerful geometrical interpretation in terms of deformation of the equifrequency contours. In order to illustrate the potentials of our approach, we present an example of application to a wave-splitting refraction scenario, which may be implemented via a simple class of artificial materials. Our results provide a systematic and versatile framework which may open intriguing venues in dispersion engineering of artificial materials.
authors.affiliation: Department of Engineering, University of Sannio, Benevento, Italy.
authors.forename: Giuseppe
authors.initials: G
authors.lastname: Castaldi
authors.forename: Vincenzo
authors.initials: V
authors.lastname: Galdi
authors.forename: Andrea
authors.initials: A
authors.lastname: Alù
authors.forename: Nader
authors.initials: N
authors.lastname: Engheta