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.
© 2014 Optical Society of America
Original Manuscript: January 6, 2014
Revised Manuscript: March 28, 2014
Manuscript Accepted: March 31, 2014
Published: April 30, 2014
Bai Bing Xu, Wei Xiang Jiang, Guan Xia Yu, and Tie Jun Cui, "Annular focusing lens based on transformation optics," J. Opt. Soc. Am. A 31, 1135-1140 (2014)