Radius of curvature matching for the Extremely Large Telescope M1

Since the fabrication of the Keck telescope primary mirror segments, radius of curvature matching have been known to be one of the major challenge in manufacturing segmented optics with high accuracy. Curvature is generally not a critical specification for optics as any error can be compensated by alignment (for a telescope mirror, by the distance between M1 and M2). However, for a segmented primary such as the ones in the Keck, GTC or ELT telescopes, a radius of curvature mismatch prevents from generating a continuous surface when assembling the mirror through a residual surface error called scalloping. We will present how this constraint drove the design of ELT metrology means, and how we achieved a radius of curvature metrology with 50 ppm absolute accuracy on a 71m curvature reference.