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Extended Data Table 1 | Design parameters for Fourier surfaces
Design parameters for all Fourier surfaces demonstrated in this work. The functions are defined for the design to be patterned in the polymer surface, where x and y lie in-plane and z is per-
pendicular (pointing away from the substrate). A right-handed coordinate system is used with the origin placed in the middle of the pattern in both the x and y directions. In these formulas, the
height of the surface is defined relative to the unpatterned flat surface where z = 0. All Ai and Δi (Λi) have been rounded to the nearest 0.1 nm (1.0 nm). Analysis of the measured topographies
for templated Ag gratings shows that the Λi values are consistently about 2% larger than the design value (Extended Data Fig. 2), attributed to a distance miscalibration in the thermal scanning
probe. See Methods.