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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 15, Iss. 3 — Mar. 1, 1976
  • pp: 821–826

Dynamics of photochromic conversion in optically thick samples: theory

W. J. Tomlinson  »View Author Affiliations


Applied Optics, Vol. 15, Issue 3, pp. 821-826 (1976)
http://dx.doi.org/10.1364/AO.15.000821


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Abstract

We develop a theory of the dynamics of optically induced conversion processes for samples of arbitrary optical thickness. The result is in the form of a simple first-order differential equation for the spatial variation of the state of the sample with time as an independent parameter. For the practically important case of samples that are initially homogeneous, the state of the sample is expressed in terms of a single function with the characteristics of the material, and its initial state, described by just one parameter. We present tables and plots of the function, which we call the Photochromic Function, with which one can evaluate the detailed behavior of a wide variety of systems, without requiring extensive computation. We also show that from optical transmission measurements on such samples, one can determine at most three independent constants of the material.

© 1976 Optical Society of America

History
Original Manuscript: May 25, 1975
Published: March 1, 1976

Citation
W. J. Tomlinson, "Dynamics of photochromic conversion in optically thick samples: theory," Appl. Opt. 15, 821-826 (1976)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-15-3-821

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