Opaque perfect lenses

Abstract

The response of the ``perfect lens'', consisting of a slab of lossless material of thickness $d$ with $\epsilon =\mu =-1$ at one frequency ${\omega }_0$ is investigated. It is shown that as time progresses the lens becomes increasingly opaque to any physical TM line dipole source located a distance $d_0<d/2$ from the lens and which has been turned on at time $t=0$. Here a physical source is defined as one which supplies a bounded amount of energy per unit time. In fact the lens cloaks the source so that it is not visible from behind the lens either. For sources which are turned on exponentially slowly there is an exact correspondence between the response of the perfect lens in the long time constant limit and the response of lossy lenses in the low loss limit. Contrary to the usual picture where the field intensity has a minimum at the front interface we find that the field diverges to infinity there in the long time constant limit.

The 7th International Conference on the Electrical transport and Optical Properties of Inhomogenous Media (ETOPIM7)

References in corpus (8)

• Near-sighted superlens
• Universal Features of the Time Evolution of Evanescent Modes in a Left-Handed Perfect Lens
• Amplification of evanescent waves in a lossy left-handed material slab
• Optimizing the Superlens: manipulating geometry to enhance the resolution
• Electromagnetic Surface Modes at Interfaces with Negative Refractive Index make a "Not-Quite-Perfect" Lens
• Non-radiating and radiating configurations driven by left-handed metamaterials
• Plane-Wave Solutions to Frequency-Domain and Time-Domain Scattering from Magnetodielectric Slabs
• Diffraction in left-handed materials and theory of Veselago lens

Cited by in corpus (9)

• Active Exterior Cloaking
• Solutions in folded geometries, and associated cloaking due to anomalous resonance
• Realizability of metamaterials with prescribed electric permittivity and magnetic permeability tensors
• Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II
• The searchlight effect in hyperbolic materials
• A unifying perspective on linear continuum equations prevalent in science. Part II: Canonical forms for time-harmonic equations
• Analytic Materials
• Enhancement of polarizabilities of cylinders with cylinder-slab resonances
• Sensitivity of anomalous localized resonance phenomena with respect to dissipation