Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Crowded Emulsions: Granularity Theory for Monolayers

Not Accessible

Your library or personal account may give you access

Abstract

Photographic grains do not always behave like Poisson-distributed disks, as the random-dot model assumes. Because real grains cannot occupy the same space at the same time, they crowd one another out at high densities, imposing constraints on their locations, which, consequently, cannot be completely random. The theory presented here takes this into account for nonscattering grains illuminated by collimated light. It predicts rms density fluctuations that can sometimes reach a peak at a mean density less than dmax and then decrease beyond this point. This is explained by granularity spectra that, at high densities, have their greatest power per unit bandwidth at high frequencies that are strongly attenuated by the aperture. These results, markedly different from those predicted by the familiar random-dot model of grains overlapping in multilayers, are by no means universally true; for crowded monolayers, in which grains tend to stick to one another, can have granularity curves so similar to those for uncrowded multilayers as to be virtually indistinguishable in practice.

© 1971 Optical Society of America

Full Article  |  PDF Article
More Like This
Crowded Emulsions: Granularity Theory for Multilayers*

William H. Lawton, Eugene A. Trabka, and Donald R. Wilder
J. Opt. Soc. Am. 62(5) 659-667 (1972)

Properties of Granularity Wiener Spectra*

Stephen A. Benton and Richard E. Kronauer
J. Opt. Soc. Am. 61(4) 524-529 (1971)

Crowded Emulsions: Renewal Theory vs Statistical Mechanics of Monolayers

Eugene A. Trabka
J. Opt. Soc. Am. 62(10) 1238-1239 (1972)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (89)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved