In this youtube video, a group of MIT scientists provide a (computer-corrected, but still) ultra-high-frame-rate video recording of the light beam traveling through an object (a plastic bottle).
The possibility of making such an experiment makes me wonder if it is possible to capture some of the effects of special relativity using high-speed photography?
Let me elaborate on what I have in mind a bit. Choose a medium with the desired refractive index to make "objects" (essentially consisting of shaped light beams) traveling with near-$c$ velocities. Then, unless I'm missing something, using high-speed photography, effects such as relativity of simultaneity and Lorentz contraction can, in principle, be observed directly.
I would like to know if there's been development in this area lately (I presume the videos haven't been made yet, because I wasn't able to google them).
I realize that predictions of SR have been verified experimentally with extremely high precision already. This question isn't about experimental verification of SR, it is about being able to actually "see for yourself" that it is true. The mentioned video could be used in classrooms etc.