Surface Roughness

crater_curvature_radius(r, h) -> R

Return the curvature radius of a concave spherical segment.

Arguments

• r: Crater radius
• h: Crater depth

concave_spherical_segment(r, h, xc, yc, x, y) -> z

Return the z-coordinate of a concave spherical segment.

Arguments

• r : Crater radius
• h : Crater depth
• xc: x-coordinate of crater center
• yc: y-coordinate of crater center
• x : x-coordinate where to calculate z
• y : y-coordinate where to calculate z

concave_spherical_segment(r, h; Nx=2^5, Ny=2^5, xc=0.5, yc=0.5) -> xs, ys, zs

Return (x, y, z) grid of a concave spherical segment.

Arguments

• r : Crater radius
• h : Crater depth
• Nx: Number of nodes in the x-direction
• Ny: Number of nodes in the y-direction
• xc: x-coordinate of crater center
• yc: y-coordinate of crater center