New variance-reducing methods for the PSD analysis of large optical surfaces

Abstract

Edge data of a measured surface map of a circular optic result in large variance or “spectral leakage” behavior in the corresponding Power Spectral Density (PSD) data. In this paper we present two new, alternative methods for reducing such variance in the PSD data by replacing the zeros outside the circular area of a surface map by non-zero values either obtained from a PSD fit (method 1) or taken from the inside of the circular area (method 2).