Figure 2

Comparison between the eigenmask method and carrier frequency modulation (CFM) approach²³. (a) Cross talk as a function of detector distance for Laguerre-Gaussian (black curve: eigenmask; green dashed curve: CFM) and Hermite-Gaussian beams (blue curve: eigenmask; orange dashed curve: CFM). (b) Detection efficiency as a function of detector distance for Laguerre-Gaussian and Hermite-Gaussian beams (same coloring scheme as in part a). (c–f) Phase (hue) and amplitude (luminosity) of the Fourier transform of the decomposition mask and (g–j) example decomposition output intensity with (c,g) \({{\rm{LG}}}_{2}^{1}\) using the eigenmask (d,h) \({{\rm{LG}}}_{2}^{1}\) using CFM (e,i) HG₁₂ using the eigenmask and (f,j) HG₁₂ using CFM (Code available online)²⁷.