Analysis of an Accurate Iterative Technique with Attenuation Compensation in Planar Laser Induced Fluorescence

Abstract Iterative techniques in Planar Laser Induced Fluorescence (PLIF) evaluations are theoretically analysed. Correction for laser light attenuation is also incorporated in the analysis. Conditions for the convergence of the results and the scalings for the errors are derived. The results are validated against experiments. It is shown that the optimal strategy for implementation of iterative PLIF evaluation with attenuation correction is on the ensemble mean of the fluorescence field. Compared to the implementation with instantaneous fluorescence images, this approach is not only far more efficient computationally, but also is assured to converge monotonically and extremely rapidly, with minimal errors. This is suggested to be a viable and useful technique for PLIF in general, but especially for cases where a reference cell is unfeasible for explicit attenuation correction.