Tensor displays are screens able to render a light field with correct depth perception without wearing glasses. Such devices have already been shown to be able to accurately render a scene composed of Lambertian objects. This paper presents the model and prototyping of a tensor display with three layers, using repurposed computer monitors, and extends the light field factorization method to non-Lambertian objects. Furthermore, we examine the relation and limitations between the depth-of-field and the depth range with Lambertian and non-Lambertian scenes. Non-Lambertian scenes contain out-of-range disparities that can not be properly rendered with the usual optimization method. We propose to artificially compress the disparity range of the scene by using two light fields focused on different depths, effectively solving the problem and allowing to render the scene clearly on both simulated and prototyped tensor display.