“…To aid this discussion, we have plotted twelve relevant quantities, including m s , t f , P max , T max , σ max , L, a , α a , ε e , and three others that we will introduce below, as a function of d s and s s in Figure 3 for a m tot = 2 g sailcraft accelerated by a constant laser output power of Φ 0 = 30 GW (see Supplementary Information). In these panels, as labeled in Figure 3(a), we have removed designs for which the curvature would result in multiple reflections and cause excessive heating in the cen-ter of the sail s s < ds √ 2 , designs hot enough to sublimate the material, T max > T sub ≈ 1000 K [38,39], and designs that would tear, σ max > σ yield ≈ 1000 MPa [36,37]. Importantly at low diameters d s , few persisting light sail designs exhibit large radii of curvature s s , which underscores the the imperative that light sails should be curved (higher s s values imply flatter structures).…”