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The Optics of the Wool Fiber Diameter Analyzer

CSIRO Division of Wool Technology, Sydney Laboratory, Ryde, NSW 2112, Australia

T.P. Dabbs

CSIRO Division of Wool Technology, Sydney Laboratory, Ryde, NSW 2112, Australia

P.W. Chudleigh

CSIRO Division of Wool Technology, Sydney Laboratory, Ryde, NSW 2112, Australia

The optics underlying the operation of the wool fiber diameter analyzer ( FDA ) is explained in terms of the formation of a Fresnel diffraction shadow behind a strip mask. Consequently, the measurement technique is sensitive only to fiber diameter and is independent of internal properties such as color or refractive index. Using an approximate technique, the Huygens-Fresnel theory of diffraction is modified to account for a finite sized source with non-uniform illumination. This allows the FDA optics to be modeled using a new technique of modified Fresnel integrals. The method, which applies a one-dimensional approach to a two-dimensional problem, is computationally simple and gives an accurate description of optical phenomena encoun tered in the FDA. The model provides a powerful design and analysis tool for this class of instrument and has proved useful in elucidating potential sources of error.

Textile Research Journal, Vol. 65, No. 2, 85-94 (1995)
DOI: 10.1177/004051759506500204


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