Abstract
The relationship between sample depth and the corresponding fluorescence signal excited and collected with a single-fiber fluorometric optical sensor has been theoretically derived. The effective depth, <i>z<sub>eff</sub></i>, is defined as the sample depth from which 90% of the total fluorescence signal originates. This parameter can be theoretically predicted as a function of the fiber radius, <i>r</i><sub>0</sub>, the acceptance angle, α, and the sample absorbance. For solutions of negligible absorbance, the effective depth is <i>z<sub>eff</sub></i>=9<i>r</i><sub>0</sub> tan <sup>−1</sup>α. The theoretical expressions have been experimentally tested with the use of 100- and 200-μm-core fibers and Rhodamine 6G solutions of different absorbances.
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