Abstract: A system for optically characterizing an acoustic beam generally includes an immersant, which is an immersion medium seeded with a plurality of seed particles that respond to illumination with fluorescence indicative of at least one parameter of the immersant such as flow or temperature. Optical transmitters illuminate the immersant slicewise, and optical receptors receive the fluorescence in order to generate a three-dimensional map of the parameter over time. A processor back-calculates one or more characteristics of an acoustic beam that results in the map. The processor initially generates a behavior model of an acoustic beam propagating in the immersant by utilizing initial guesses for the characteristics. The initial guess model is compared to the map, and an optimization routine is used to refine the initial guesses. The process repeats iteratively with refined guesses until the difference between the model and the map is minimized.