“…In addition, figure errors with a spatial period in the sub-millimetre region should be sufficiently suppressed in order to produce a uniform intensity profile (Mimura et al, 2004;Yamauchi et al, 2005). To achieve this level, several machining techniques have been developed, such as elastic emission machining (EEM) (Yamauchi et al, 2002a), ion beam figuring (Schindler et al, 2001) and additional deposition (Ice et al, 2000), as well as surface metrologies such as a long trace profiler (Takacs et al, 1987) and stitching interferometers (Yamauchi et al, 2003;Mimura et al, 2005a). Recently, one could achieve a high figure accuracy and small degree of roughness of 1 nm (peak to valley) and 0.2 nm (r.m.s.…”