This paper provides a mathematical approach to study chromatic aberration in metalenses. It is shown that radiation of a given wavelength is refracted according to a generalized Snell's law which together with the notion of envelope yields the existence of phase discontinuities. This is then used to establish a quantitative measure of dispersion in metalenses concluding that in the visible spectrum it has the same order of magnitude as for standard lenses.

中文翻译：

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超透镜中的色差

本文提供了一种研究超透镜色差的数学方法。结果表明，给定波长的辐射根据广义斯涅耳定律折射，该定律与包络概念一起产生相位不连续性的存在。然后将其用于建立超透镜中色散的定量测量，得出结论：在可见光谱中，它与标准透镜具有相同的数量级。