Abstract

Experimentally, it is observed that the diffraction pattern of nonoverlapping grains contains a light-depletion region near the origin. This region, which shows up as a black ring, occurs because of the enforced quasiperiodicity that results when many grains in a confined space are prohibited to overlap. A simple quantitative model that describes this observation is presented. The model, based on the pulse-jitter phenomenon in communication theory, avoids the usual complications inherent in mathematically describing nonoverlapping grains.

© 1977 Optical Society of America

Some spectral properties of random arrays of grains*

F. Martin and C. Aime
J. Opt. Soc. Am. 69(9) 1315-1320 (1979)

Some spectral properties of random arrays of grains

F. Martin and C. Aime
J. Opt. Soc. Am. 68(12) 1782-1785 (1978)

Fresnel Diffraction Patterns of an Array of Circular Apertures

P. D. Lee, C. T. LaBree, and R. A. Freibrun
J. Opt. Soc. Am. 57(9) 1115-1120 (1967)

Fraunhofer diffraction by semicircular apertures

Arpad Barna
J. Opt. Soc. Am. 67(1) 122-123 (1977)

White-light Fresnel diffraction by a circular aperture

Ronald Bergsten and Susan Huberty
J. Opt. Soc. Am. 67(5) 643-647 (1977)