Supplementary Figure 5: Quantification of aberration retrieval and correction.
From: Impact of optical aberrations on axial position determination by photometry

(A) Through-focus PSF image stacks of experimental and fitted PSFs after aberration correction and, subsequently, aberrated with a single primary Zernike mode: astigmatism (\({\mathrm{Z}}_2^2\)), coma (\({\mathrm{Z}}_3^1\)), and spherical aberration (\({\mathrm{Z}}_4^0\)), with aberration coefficients 36 mλ and 72 mλ (root-mean-square values). The region of interest for each PSF image is 31 × 31 pixels with a pixel size of 80 nm. All 4 × 4 sub-image pairs are contrast-stretched with the same factor for better visibility of spot shape. The estimated photon counts were within 9,500–21,000 signal photons and 15–18 background photons per pixel. Reproducibility as shown in (B). (B) Fitted Zernike modes and retrieved aberration coefficients. The coefficients are averaged over six measurements with error bars indicating one s.d. The aberration fit routine includes all tertiary Zernike modes (all \({\mathrm{Z}}_{\mathrm{n}}^{\mathrm{m}}\) with 2<n+|m|≤8) and assumes optical parameters as described in the Supplementary Methods. (Horizontal dashed lines are used to guide the eye.)