Can a HPS light grow a plant separated by acrylic glass?

I have heat problems in my grow box and I had the idea of separating the HPS light in a small enclosure with a sheet of acrylic glass at the bottom. The small enclosure will have a big fan sucking the heat out and displacing in another room/attic.

My main question is how much the sheet of acrylic glass will hinder the effectiveness of the light? I don't have money for a cooltube HPS right now, else I'd go that route. The acrylic glass I have right now is not perfectly see through, though I don't see why light couldn't penetrate it well enough. Does anyone have any experience with something similar?

Go on ebay, you can get just the cool tube enclosure (you use your socket and ballast) for around $30 USD or so. I dont think I'd want to use glass that wasnt perfectly clear. If you do a little searching you can probably find a regular peice of clear glass for free (old windows people are throwing out, ect.).