The use of Fourier transform techniques in the analysis of photoelectrically scanned double star images

A technique for the analysis of photoelectrically scanned double star images is described. The method consists of comparimg the Fourier transform of the double star profile with that of a single star profile imaged through the same telescope. If the measured profile of the double star iinage can be considered to be a linear superposition of two profiles, each identical in shape to the measured profile of a mearby single star, a comparison of the Fourier transforms of these profiles enables the parameters of the double star system to be determimed. Certain features of the ratio of the moduli of the transforms yield both the separation and the magnitude difference betweem the compoments. A comparison of the phases of the transforms enables one to establish which of the two components is the brighter. (auth)