Abbreviated Journal Title
surface scatter; total integrated scatter; TIS; scattering from rough; surfaces; bidirectional reflectance distribution function; BRDF; surface; power spectral density function; PSD; relevant band-limited roughness; OPTICAL THIN-FILMS; LIGHT-SCATTERING; SPECULAR REFLECTANCE; RESOLVED; SCATTERING; ULTRAVIOLET; COATINGS; MICROROUGHNESS; PERFORMANCE; COMPONENTS; FINISH; Optics
Surface scatter effects from residual optical fabrication errors can severely degrade optical performance. The total integrated scatter (TIS) from a given mirror surface is determined by the ratio of the spatial frequency band-limited "relevant" root-mean-square surface roughness to the wavelength of light. For short-wavelength (extreme-ultraviolet/x-ray) applications, even state-of-the-art optical surfaces can scatter a significant fraction of the total reflected light. In this paper we first discuss how to calculate the band-limited relevant roughness from surface metrology data, then present parametric plots of the TIS for optical surfaces with arbitrary roughness, surface correlation widths, and incident angles. Surfaces with both Gaussian and ABC or K-correlation power spectral density functions have been modeled. These parametric TIS predictions provide insight that is useful in determining realistic optical fabrication tolerances necessary to satisfy specific optical performance requirements.
Harvey, James E.; Schröder, Sven; Choi, Narak; and Duparré, Angela, "Total integrated scatter from surfaces with arbitrary roughness, correlation widths, and incident angles" (2012). Faculty Bibliography 2010s. 2723.