Laser illuminating a Janus colloid which is suspended in a near-critical binary solvent leads to the formation of the concentration gradient and coarsening patterns around the colloid, which leads to the particle's phoretic motion. Using analytical theory and numerical simulations, we investigate this non-equilibrium phenomenon under the influence of a time-dependent temperature gradient. Our predictions are confirmed by experiments with Gold-capped Janus particles immersed in PnP-water binary liquid mixture. We also present results for particles kept confined in thin films.