“…Optical measurements, in combination with a scintillation theory developed by Andrews et al 17,25 were used to infer the refractive index structure parameter C n 2 , the inner scale of turbulence l 0 , and the outer scale of turbulence L 0 , along the propagation path. 26 The theoretical expressions for the scintillation index, at a fixed range and wavelength, depend on four parameters: C n 2 , l 0 , L 0 , and D. By specifying three different collecting aperture sizes, and measuring the corresponding scintillation index experimentally, a minimization problem for the atmospheric parameters was created. It was solved numerically with the downhill simplex method, 26,27 which is a multidimensional minimization algorithm that requires only function evaluations, not derivatives.…”