Flow chart illustrating the simulation of time-varying lensed quasars images. For quasars, mock quasar light curves are generated based on their source redshifts z_s, and being shifted in time and magnified the mock quasar light curves on the image plane (see Fig. 2). For quasar hosts, their Sérsic light profiles are created on the source plane and their lensed images are produced on the image plane assuming a SIE model. Lens galaxies are selected from a real survey based on their lens redshifts z_d and velocity dispersions σ, fitting the selected galaxies with Sérsic light profiles, and using the fitted Sérsic light profiles to produce their images on the image plane. Once all the components for one lens system (image of lensed quasar, image of lensed quasar host, and image of lens galaxy) are produced, these components are convolved with a realistic PSF and are added to obtain one complete image.