Analytical expression for the kurtosis parameter of flattened Gaussian beams propagating through ABCD optical systems

Abstract

The closed-form propagation expression for the kurtosis parameter of flattened Gaussian beams (FGBs) in passage through paraxial ABCD optical systems is derived on the basis of the propagation equation of FGBs and analysed with numerical examples. A comparison of our results with those obtained by using the propagation law of irradiance moments is made, showing the advantage of the method used in this paper.