Fig. 3: Numerical investigation of cumulants estimation error for noise-free measurements.
From: Acousto optic imaging beyond the acoustic diffraction limit using speckle decorrelation
a Relative estimation error of the \({N}^{th}\) root of the first three cumulants as a function of the number of speckles, \({N}_{{\mathrm{speckles}}}\), contained inside the acoustic focus, for 200 realizations (continuous lines) and 2,000 realizations (dashed lines). blue: first cumulant, red: second cumulant, orange: third cumulant. b, c Simulated acousto-optic imaging (AOI) reconstructions for noiseless measurements with 400 realizations, for two different values of \({N}_{{\mathrm{speckles}}}\), marked by the dashed green lines in a: b \({N}_{{\mathrm{speckles}}}=6\), and c \({N}_{{\mathrm{speckles}}}=4000\). The larger estimation errors of higher-order cumulants in c are in-line with the experimental results along the transverse (x) axis for the small speckle grain size.
