There are several great options IF you can hide the adhesive at the perimeter of the acrylic panel. As
@theatricalmatt mentioned,
Snot tape would work great if you used it around the very
edge. It is translucent but it is not optically
clear. you might be able to use something like Elmers glue stick around the perimeter then
lay down the film, then
roller it out with a print
roller. What Derek suggests MIGHT work after a fashion. Window tint has a water activated adhesive applied to it at the factory. you spritz it with water squeegee it and viola' it sticks. I use a product called "Rapid Tac" it's available at sign and vinyl shops. it promotes adhesion and prolongs work time when applying vinyl graphics. IDK if using Rapid tac by itself will work but you could try mixing a soap product with water, spray it on, squeegee it to remove bubbles then see how it dries out. The soap should act as a
binder and water's surface tension should help hold the film on as well. Windex MIGHT work, it has silicones and other surfactant's in it to promote the non-streaking qualities, which is why it's horrible to use for cleaning windows before applying vinyl.
The only other thing I can think of, and it's a complete shot in the dark, would be to get some
Rosco "Crystal
gel" dilute it, squirt some on,
lay the film and again squeegee the heck out of it. crystal
gel dries completely
clear but I don't know what the density of the material will do to the light transmission.
P.S.
@RonHebbard pointed out that I misspelled Voila'. I do this because of an inside joke. Years ago I was working for a lighting rental place and I had a job to deliver to an International French School here in PDX. I finished the setup and the head of the school who was a
bit snooty, came in the room. I wanted to show her we were all complete. I showed her how to turn everything on set some levels for and when I was all done I said, in my best Okie Twang, "Et Vi-Ola" being funny because I learned French in Oklahoma. With absolutely no humor whatsoever she turned to me, appalled, and said, "It's pronounced , 'A Vois-La'" <phonectic spelling mine.>
well I went back to the shop and told the story and from then on it became a thing in the shop. we'd finish a task and yell "Vie-Ola!" and now I always spell it wrong.