Focal plane images of the tested sources, and their illumination pattern on the detector. From left to right, the simulations correspond to a 4 λ/D modulated NGS for a 40 m telescope, LGS-2D, and LGS-3D for 8, 16, and 40 m telescopes. Top row: Focal plane images. The scale is normalized such that the maximum pixel value in each image is one. Middle row: Focal plane images with a logarithmic stretch for better visualization. Bottom row: Intensities in the detector of the wavefront sensor for a flat wavefront. The intensities are normalized such that the maximum pixel value is one. We note that the field of view for the NGS corresponds to 0.4 arcsec, meanwhile, for the extended sources, the field of view is 30 arcsec. The last column includes a color bar that is valid for the whole row.