Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance.

Discrete systems of infinitely long polarizable line dipoles are considered in the quasistatic limit, interacting with a two-dimensional cloaking system consisting of a hollow plasmonic cylindrical shell. A numerical procedure is described for accurately calculating electromagnetic fields arising in the quasistatic limit, for the case when the relative permittivity of the cloaking shell has a very small imaginary part. Animations are given which illustrate cloaking of discrete systems, both for the case of induced dipoles and induced quadrupoles on the interacting particles. The simulations clarify the physical mechanism for the cloaking.

[1]  Invisible obstacles , 2006, math-ph/0608034.

[2]  David R. Smith,et al.  Metamaterial Electromagnetic Cloak at Microwave Frequencies , 2006, Science.

[3]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[4]  G. Uhlmann,et al.  Full-Wave Invisibility of Active Devices at All Frequencies , 2006, math/0611185.

[5]  Milton,et al.  Optical and dielectric properties of partially resonant composites. , 1994, Physical review. B, Condensed matter.

[6]  Out of sight: Physicists get serious about invisibility shields , 2006 .

[7]  N. Engheta,et al.  Achieving transparency with plasmonic and metamaterial coatings. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Oscar P. Bruno,et al.  Superlens-cloaking of small dielectric bodies in the quasistatic regime , 2007 .

[9]  J. Willis,et al.  On cloaking for elasticity and physical equations with a transformation invariant form , 2006 .

[10]  Matti Lassas,et al.  Anisotropic conductivities that cannot be detected by EIT. , 2003, Physiological measurement.

[11]  Andrea Alù,et al.  Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency , 2003 .

[12]  G. Milton,et al.  On the cloaking effects associated with anomalous localized resonance , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Viktor A. Podolskiy,et al.  A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance , 2005, Proceedings of the Royal Society A.

[14]  U. Leonhardt Optical Conformal Mapping , 2006, Science.

[15]  A. Boardman,et al.  Nonradiating and radiating configurations driven by left-handed metamaterials , 2005, physics/0511113.

[16]  Qiang Cheng,et al.  Localization of electromagnetic energy using a left-handed-medium slab , 2005 .

[17]  Ping Sheng,et al.  Waves on the Horizon , 2006, Science.

[18]  N I Zheludev,et al.  Planar electromagnetic metamaterial with a fish scale structure. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Ross C. McPhedran,et al.  Opaque perfect lenses , 2007 .

[20]  D. Miller,et al.  On perfect cloaking. , 2006, Optics express.