Erratum: “System investigation of a rolled-up metamaterial optical hyperlens structure” [Appl. Phys. Lett. 95, 083104 (2009)

Abstract

Typing errors as well as a calculation error were made in the original publication of this letter. Here we correct the equations, resulting calculations, and figures of the original letter. The effective media theory equations for calculating the permittivity were both written incorrectly in the letter, and an incorrect version of the effective radial permittivity was used for our calculations. This makes the hyperbolic range of Fig. 2 a , and the dispersion relation graphs in Figs. 1 d and 2 b , incorrect. The correct equations are as follows: r= cm+cd m d / cd m+cm d and = cm m+cd d / cm +cd . The revised Fig. 1 and 2 calculated with the correct permittivity formulas are shown below. Using rolled-up bilayers for creating the hyperlens and the hyperlens immersion technique presented in the original letter still stand valid despite these errors. Using the correct equation for the radial permittivity results in a lower spectral range where the dispersion relation is hyperbolic for the material systems we chose to look at. However, for a higher ratio of oxide:metal, the dispersion relation becomes elliptical, as shown in the revised Figs. 1 d and 2. This elliptical dispersion, as mentioned in the original letter, allows for the transmission of high order spatial information into the farfield even though light is not mediated through an unbound dispersion relation. Despite the ability to resolve subwavelength objects with an elliptical dispersion relation, the opti-