title: Two-quadrant area structure function analysis for optical surface characterization.
abstract: This paper describes the use of the area structure function (SF) for the specification and characterization of optical surfaces. A two-quadrant area SF is introduced because the one-quadrant area SF does not completely describe surfaces with certain asymmetries. Area SF calculations of simulation data and of a diamond turned surface are shown and compared to area power spectral density (PSD) and area autocorrelation function (ACF) representations. The direct relationship between SF, PSD, and ACF for a stationary surface does not apply to non-stationary surfaces typical of optics with figure errors.
authors.affiliation: Department of Mechanical Engineering and Engineering Science, UNC Charlotte, 9201 University City Blvd., Charlotte, North Carolina 28223, USA. liangyu.he@gmail.com
authors.forename: Liangyu
authors.initials: L
authors.lastname: He
authors.forename: Chris J
authors.initials: CJ
authors.lastname: Evans
authors.forename: Angela
authors.initials: A
authors.lastname: Davies
mesh_terms: D003198:Computer Simulation; D007909:Lenses; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation; D020349:Surface Plasmon Resonance / Q000295:instrumentation* / Q000379:methods*; D013499:Surface Properties