The authors give an overview of functional reconstruction theory for predicting whole beam Strehl ratios as applied to thermal blooming. They begin by writing down the reconstruction formula that relates a finite sized beam Strehl ratio to a sum involving the Strehl ratio of an infinite beam or periodic patch. A dynamically equivalent patch is defined and the functional approach to scaling patch Strehl curves using a metric on the space of absorption profiles is described. In conclusion, results are compared from the systems model based on functional reconstruction, SWATM2, which takes only seconds on any machine, with results from large nonlinear 4-d wave optics simulations.
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