3M do some that is adhesive backed and available in all sorts of grades down to 1um or so. This is it
**LINK**
I found them to be a good place to buy a sample pack but haven't tried lapping with them. I have played around with something similar used to lap fibre optics. It can be held in place with a water film underneath but as this was on some flat formica water didn't matter. I also used it as a lubricant for lapping tools so being dead flat didn't matter. Oil should hold the film in place as an alternative.
Thick plate glass is generally pretty flat but not easy to find stockists now. It is about up to 25mm thick.
A wise old toolroom person once told me that linishers can get things very flat but having used the type of linisher that he would be referring to – long adjustable bed – I have never seen anything really suitable at the hobby end.
Wont be of interest but lapping plates when they were around were made of cast iron with a grooved pattern and usually ground. It is possible to make them flat by lapping 3 against each other and using blue to work out how they are shaped as the blue will only give flat results when all are flat. So by checking each one against the other it's possible to see which ones are convex and which ones are concave – after a fashion.
John
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Edited By Ajohnw on 12/06/2016 12:18:46
Edited By Ajohnw on 12/06/2016 12:23:46