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Reported here is the development of a comparative reflectance model that predicts the relative change in NIR diffuse reflectance of cotton, a hollow fiber, according to the cross-sectional dimensions of perimeter, wall thickness, and wall area. Two cotton groupings are considered: paired
cottons and any number of cottons of the same perimeter. The model is based on a single wavelength of NIR light and the critical assumption that the total fiber length in the optical path is constant for cottons of the same perimeter. Combinations of paired dimensional variables are derived
and classified by selection rules as "allowed" or "forbidden." Seven allowed nontrivial combinations of perimeter, wall thickness, and wall area are identified. On the basis of the derived equation that optical density (O.D., log 1/R units) is a linear function of wall thickness at
constant perimeter, comparative reflectances are predicted for all seven nontrivial combinations. The predicted comparative reflectances at a single wavelength range from nonunique (i.e., overlap or equivalent O.D.) to unique; those across many wavelengths are all unique. Also, a mechanism
is proposed to explain the interaction of photons with fiber. Finally, the fundamental fiber property sensed is elucidated in three-dimensional (3-D) and 2-D fiber space.
Southern Regional Research Center, Agricultural Research Service, U.S. Department of Agriculture, New Orleans, Louisiana 70179
Publication date: June 1, 1991
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The Society publishes the internationally recognized, peer reviewed journal, Applied Spectroscopy, which is available both in print and online. Subscriptions are included with membership or can be purchased by institutional or corporate organizations. Abstracts may be viewed free of charge. Previously published as Bulletin (Society for Applied Spectroscopy)