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J Opt Soc Am A Opt Image Sci Vis. 2016 Aug 01;33(8):1531-6. doi: 10.1364/JOSAA.33.001531.

Spherical aberration in electrically thin flat lenses.

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

Miguel Ruphuy, Omar M Ramahi

PMID: 27505651 DOI: 10.1364/JOSAA.33.001531

Abstract

We analyze the spherical aberration of a new generation of lenses made of flat electrically thin inhomogeneous media. For such lenses, spherical aberration is analyzed quantitatively and qualitatively, and comparison is made to the classical gradient index rod. Both flat thin and thick lenses are made of gradient index materials, but the physical mechanisms and design equations are different. Using full-wave three-dimensional numerical simulation, we evaluate the spherical aberrations using the Maréchal criterion and show that the thin lens gives significantly better performance than the thick lens (rod). Additionally, based on ray tracing formulation, third-order analysis for longitudinal aberration and optical path difference are presented, showing strong overall performance of thin lenses in comparison to classical rod lenses.

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