Correction to: Nature Photonics https://doi.org/10.1038/s41566-023-01306-w, published online 31 October 2023.

In the version of this Comment originally published, the plot in Fig. 1a was generated with an error in the equation that converted numerical aperture (NA) to f-number. Furthermore, we were made aware of the fact that the Airy function is not a good representative of the field distribution in the focal plane of a high-NA lens. Here we employed the formulation described in ref. 1 to replot this figure. The corrected plot shows similar trends to the original plot (see Fig. 1 below).

The authors of ref. 10 from the original Comment (ref. 2 here) pointed out an error in their work, which affects the relevant upper bounds. Ref. 1 below, which accurately describes the theoretical upper bound on metalens focusing efficiency, serves as a suitable substitute citation. Thereby, we also updated Table S1 in our revised supplement3.

Fig. 1: Original (left) and corrected (right) plots.
figure 1

Encircled power by an ideal metalens as function of NA and the radius of the iris in units of λ, where NA is the numerical aperture and λ is the wavelength.