Abstracts - Dipartimento di Elettronica Applicata

Meta 2010 & FEM 2010 – Rome, 13-15 December 2010
Image Formation/Displacement and Field
Tunneling in Metamaterial Transformation Slabs
Ilaria Gallina (1) , Giuseppe Castaldi (1) , Vincenzo Galdi (1) ,
Andrea Alù (2) , and Nader Engheta (3)
(1) University of Sannio, Department of Engineering
Benevento, Italy – E-mail: ilaria.gallina@unisannio.it,
castaldi@unisannio.it, vgaldi@unisannio.it
(2) The University of Texas at Austin, Department of Electrical and Computer
Engineering, Austin, TX 78712, USA – E-mail: alu@mail.utexas.edu
(3) University of Pennsylvania, Department of Electrical and Systems
Engineering, Philadelphia, PA 19104, USA – E-mail: engheta@ee.upenn.edu
Transformation optics has recently emerged as one of the most interesting and
promising approaches to the synthesis of metamaterials for electromagneticfield
manipulation (see, e.g., [1]).
In this work, we review and summarize some recent results [2,3] on the
electromagnetic properties of certain general classes of metamaterial slabs,
inspired by transformation optics, that exploit their intrinsic anisotropy and
inhomogeneity to achieve exotic material properties, within double-positive,
double-negative or single-negative constitutive parameters. In particular, by
means of analytical and numerical full-wave studies, we derive some
conditions for total transmission, which generalize some previous results in
the literature, and explore the image displacement/formation properties, of
interest for applications such as anti-reflection radomes, anti-cloaking, and
lensing/focusing.
Our results confirm the broad breadth of transformation optics and its
intriguing potentials as a general unifying approach to the design of
application-oriented metamaterials. In particular, we systematically derive the
conditions for designs that do not require negative constitutive parameters, but
that exploit the inherent anisotropy of the transformation slabs to achieve the
required field-manipulation effects within the double-positive (possibly nonmagnetic)
regime of operation.
References
[1] J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science,
312, 1780-1782, 2006
[2] I. Gallina, G. Castaldi, V. Galdi, A. Alù, and N. Engheta, “General class of metamaterial
transformation slabs,” Phys. Rev. B, 81, 125124, 2010
[3] G. Castaldi, I. Gallina, V. Galdi, A. Alù, and N. Engheta, “Transformation-optics
generalization of tunnelling effects in bi-layers made of paired pseudo-epsilonnegative/mu-negative
media,” to be published in J. Opt. (Special Issue on Transformation
Optics), 2011
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