Light diffuser to mix colours - does it exist?

Say I need a light box to emulate natural light. I have 9 white sources of light and few colored ones. The sources are LED panels 4x10cm so its not a point light (there are no individual LEDs – the whole panel is luminescent).

I would like to experiment with colors, but I need a diffuser which can mix all sources into one as evenly as possible.

If I to do it from scratch I would probably start with a saw toothed plexiglass – see the "illustration" 🙂 (The light panels are on the left. The white ones are vertical and a colored one is on the top at angle)

I don’t know if this is viable at all. Looking at how much technology has changed photography in past decades I have a hope that you someone can point me to the right solution.

Also – is there a simple guide on types of diffusers?