Abstract

The accuracy of locating weak photographic star images is described from a theoretical viewpoint. The objective is to determine the accuracy limitations imposed by the granular nature of the photographic image, by background radiation, and by image size and shape. After selecting models for both saturated and unsaturated images, lower bounds are derived for the rms location errors. These relationships are based on results developed for photoelectric images. The bounds apply to every method of interrogating the photographic images, and thus represent intrinsic limitations. For unsaturated images, the bound is a monotone function of the image “spread” σ; it is approximately proportional to $\sigma {(c-\text{ln}\sigma )}^{-\frac{1}{2}}$ where c is a constant. For saturated images, the bound is not necessarily a monotone function of the image spread. The bound may decrease as the image spread increases. The error bounds are compared to experimental errors. For an eighteenth-magnitude star, the bound is 70% of the experimental errors observed with plates from the 48-in. Schmidt telescope on Palomar.

© 1966 Optical Society of America

Information Content of Photoelectric Star Images*

Edward J. Farrell
J. Opt. Soc. Am. 56(5) 578-587 (1966)

Investigation of a Latent-Image Model: Internal Image

J. F. Hamilton and B. E. Bayer
J. Opt. Soc. Am. 56(8) 1088-1094 (1966)

Object Restoration in a Diffraction-Limited Imaging System*

Casper W. Barnes
J. Opt. Soc. Am. 56(5) 575-578 (1966)

Image Luminance and Ray Tracing in Holography

Carl W. Helstrom
J. Opt. Soc. Am. 56(4) 433-441 (1966)

Influence of Photographic Film on Wavefront Reconstruction. II: “Cylindrical” Wavefronts*

Raoul F. Vanligten
J. Opt. Soc. Am. 56(8) 1009-1014 (1966)