Imagery of One-Dimensional Patterns
- 1 March 1966
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 56 (3) , 377-388
- https://doi.org/10.1364/josa.56.000377
Abstract
Expressions are derived for the light distribution in the image of a sinusoidal and of a bar (crenelate or “square-wave”) pattern produced by diffraction at a “slit” aperture (straight-sided and infinitely long) and at a circular aperture. In every case, when the pattern has an infinite number of repetitions, the distribution is uniform for the spatial frequency that represents Rayleigh’s limit for two-line sources and a slit aperture; this is thus the absolute objective limit of resolution. In practice, radiation detectors have different thresholds, and, since the rate at which the contrast in the image diminishes as the frequency approaches the limit varies with the type of object pattern and the shape of the diffracting aperture, the measured value of resolving power also varies. A table of the line spread-function for a circular aperture is given.Keywords
This publication has 2 references indexed in Scilit:
- Resolving Power of Calculated and Detected ImagesJournal of the Optical Society of America, 1961
- Relationship between the Sine-Wave Response and the Distribution of Energy in the Optical Image of a Line*Journal of the Optical Society of America, 1958