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J Opt Soc Am A Opt Image Sci Vis. 2014 May 01;31(5):1135-40. doi: 10.1364/JOSAA.31.001135.

Annular focusing lens based on transformation optics.

Journal of the Optical Society of America. A, Optics, image science, and vision

Bai Bing Xu, Wei Xiang Jiang, Guan Xia Yu, Tie Jun Cui

PMID: 24979647 DOI: 10.1364/JOSAA.31.001135

Abstract

We propose and design a kind of annular focusing lens based on transformation optics. Based on the method of eigen-mode expansions, closed-form expressions are derived to analyze the proposed annular lens rigorously. We show that the annular lens has excellent focusing property. Even when a barrier (such as a conducting cylinder) exists in the center of the lens, the analytical results demonstrate that the waves are still guided to propagate smoothly and focused on a spot.

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