Theory of the Polarized Fluorescence Experiment

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Abstract
The static polarized fluorescence experiment is investigated for the most general case of arbitrary orientation distributions of transition moments in the fluorescent sample and arbitrary rearrangements of transition moments during the excited fluorescent state. It is shown that all available information is contained in a tensor of fourth order. The maximum number of independent components of this tensor is 36. Hence in the general case 36 polarized intensities must be measured in order to utilize the maximum available information. For special symmetries of orientation distributions this number is drastically reduced. In the case of vanishing rearrangement it is 15, for planar arrays (axial symmetry) not exceeding 11 and for spherical symmetry only 2. The results may be extended to the time-dependent polarized fluorescence experiment.

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