# Chromatic Aberration in Metalenses

## TL;DR

This paper introduces a mathematical framework to analyze chromatic aberration in metalenses, revealing that their dispersion in the visible spectrum is comparable to traditional lenses, which is crucial for optical design.

## Contribution

It develops a generalized Snell's law and envelope concept to quantify dispersion in metalenses, providing new insights into their chromatic aberration behavior.

## Key findings

- Chromatic aberration in metalenses is quantitatively similar to standard lenses.
- A mathematical approach using generalized Snell's law explains phase discontinuities.
- Dispersion magnitude in metalenses is characterized across the visible spectrum.

## Abstract

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.