How certain are you about a concave pattern? That style is called "fluted" glass, and everywhere I've managed to find information about these panels they mention "reed" glass (which is convex rather than concave). The refraction of reed glass versus fluted glass is different, and the reed refraction pattern is consistent with:
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Also, the highlights and shadows seem to indicate a convex pattern. Notice the studio lighting shadow cast to the left and bottom of the panel's frame, and where the white reflection highlights are on the glass pattern. You can also make out a convex profile on the right side of the panel along the frame's inside edge in the above photo.
Pictures of acquired "vintage" glass for making the TOS Set Tour panels also show convex reed pattern glass:
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In those photos, there are roughly 14 "bars" on the panels, and the panel's height is taller than two widths, suggesting a 6" x 14" size. I don't know, that's why I'm asking for information - and I personally don't know how screen-accurate the TOS Set Tour panels were made (but probably pretty accurate).
So, without compelling evidence otherwise, I believe the glass to be convex reed rather than concave fluted. (Feel free to argue against that, but have supporting evidence.) Honestly, I'm more interested in knowing the accurate reed pattern size (it looks to be 1"), the frame interior dimensions, the frame width and thickness, and if a specific material is/was used for the frame then what is it.
Thanks