The tool should match the part’s shape, so the pitch and the liquid (slurry) spread out evenly.
Quick example:
If your convex lens is 50 mm diameter and has a 100 mm radius of curvature, start with a concave tool about 45 mm in diameter and a surface radius around 102–104 mm.
If your concave lens is 50mm diameter, and has a 100mm radius of curvature start with a convex tool about 60 mm in diameter and a body radius around 96–98 mm.
Polisher–Lens Arc Visualizer
Inputs (mm)
Arc Comparison & Oscillation Room
Math quick check
Notes
Deeper Explanation
Pitch is the conformal material that is adhered to the polishing tool to create the conformal soft ductile surface that polishes the surface of a lens. When is warmed, it gets soft and slowly molds to the glass surface.
The decision of the optic being in the polishing spindle or the polisher being in the polishing spindle is usually decided by size of the optic, the radius of curvature, and the difficulty of the irregularity specification needed
Pitch hardness can be useful for maintaining control of radius of curvature, figure error and surface quality.
Grooves are used to control slurry flow between the polishing pitch and the surface of the optic being polished. Grooves also control the surface area of the polishing pitch changing its dynamic properties and flow.
Thickness of the pitch layer can affect the flow characteristics of the pitch. Uniform pitch layer is desired for polishers.
You don’t need big math, just tiny offsets:
First, make sure you know the part size (clear aperture), the curve (radius), and how clean the edge must be. Pick top or bottom run based on the surface: convex usually bottom, concave usually top. Use the 90% / 120% diameter rules and set the tool radius with the small +2– +4 mm or −2– -4 mm change. Groove the pitch surface to carry the slurry efficiently across the polisher surface area, then warm and press until the contact looks even. Let slurry flow and reach working temperature before timing your polishing.
To check contact, draw a light wax crayon grid on the lap, do a short warm press, and look: the lines should fade evenly toward the edge. Re-press if room or slurry temperature changes, or after a long break. Keep a simple notebook with tool IDs, measured radii, chosen diameters, and the offsets you used so you can repeat a good setup next time.