Fig. 3: Wavefront aberration correction using time-reversal matrix.
From: High-throughput volumetric adaptive optical imaging using compressed time-reversal matrix

a Fully-sampled time-reversal matrix \({\boldsymbol{W}}={{\boldsymbol{R}}}_{\rm{S}}{{\boldsymbol{R}}}_{\rm{S}}^{\dagger }\) (CR = 1) for a Siemens star resolution target underneath a highly aberrating medium. b Time-reversal matrix \(\tilde{{\boldsymbol{W}}}\) in k-space, obtained by the Fourier transform of W. c Wavefront aberration map ϕo(kok) at the output pupil plane, identified by the CLASS algorithm. Color bar indicates the phase in radians. d Aberration-corrected time-reversal matrix Wc. The subset images in (a, b, and d) are 2D E-field images corresponding to columns marked by dashed lines. e, f Uncorrected and corrected images of the Siemens star reconstructed from \(\tilde{{\boldsymbol{W}}}\) and \({\tilde{{\boldsymbol{W}}}}_{{\rm{c}}}\), respectively. Images are normalized by the maximum intensity in the corrected image. g, h Uncorrected and corrected intensity-PSFs, respectively. i Line profiles of the uncorrected and corrected intensity-PSFs in (g, h)