Quantifying Information via Shannon Entropy in Spatially Structured Optical Beams
On the way to measuring the amount of information in optical beams. The intensity distributions of the EM beams are captured by a SHS. The algorithm for simulated data sets and the fits is based on Equations (21) and (22). The experimental data are averaged over 4 Laguerre-Gaussian samples (left) and 10 Gaussian samples (right) with the SHS’s sampling rate of 18 fps (black-starred scatter plot) and over the four quadrants in the beam intensity profile. In 2D color maps, measurement data is shown in gray scale, simulation is depicted in orange-red scale, and shaded regions are symmetry-based extrapolations. The measurement fits are shown in solid-red curves with the Gaussian model (right) using the WDF in Equation (4), and Laguerre-Gauss (LG) model (left) in Equation (18). The measured data are shown as black stars with the corresponding error bars. All the presented plots depict normalized intensity .