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A multitrap model for high-intensity reciprocity failure in the photographic grain

Published online by Cambridge University Press:  14 July 2016

William J. Anderson
William J. Anderson*
Affiliation:
McGill University
*
∗Postal address: Department of Mathematics, McGill University, 805 Sherbrooke Street West, Montreal, PQ, Canada H3A 2K6.
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Abstract

The response of the photographic grain to light is a non-deterministic process which is as yet not completely understood. This response, as measured by the photographic density, is usually taken to be a function of the product of incident light intensity and exposure time interval duration, but at extreme values of either of these two quantities, this is no longer true. This latter effect is called reciprocity-law failure.

This paper discusses a probabilistic model, similar to a multiserver queue, for high-intensity reciprocity failure.

Keywords

PHOTOGRAPHIC PROCESSRECIPROCITY LAWMULTISERVER QUEUECHARACTERISTIC CURVESISODENSE CURVES
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 3 , September 1984 , pp. 464 - 478
Copyright
Copyright © Applied Probability Trust 1984 

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References

[1] Anderson, W. J. (1978) A model for reciprocity failure in photographic materials and its asymptotic behaviour at low and high intensities. J. Optical Soc. Amer. 68, 922–978.Google Scholar
[2] Anderson, W. J. (1980) Concerning the asymptotic behaviour of high intensity reciprocity curves. Photogr. Sci. Eng. 24 (6), 283–289.Google Scholar
[3] Hamilton, J. F., Lawton, W. H. and Trabka, E. A. (1972) Some spatial and temporal point processes in photographic science. In Stochastic Point Processes: Statistical Analysis, Theory and Applications, ed. Lewis, P. A. W., Wiley, New York.Google Scholar
[4] James, T. H. and Higgins, G. C. (1968) Fundamentals of Photographic Theory. Morgan and Morgan, Hastings on Hudson, New York.Google Scholar
[5] Mees, C. E. K. and James, T. H. (1966) The Theory of the Photographic Process, 3rd edn. Macmillan, New York.Google Scholar
[6] Thomas, W., (Ed.) (1973) SPSE Handbook of Photographic Science and Engineering. Wiley-Interscience, New York.Google Scholar