Scholl, M.M.Scholl2022-03-082022-03-081993https://publica.fraunhofer.de/handle/publica/320567Spatial moments, cumulants and scaled cumulants of the intensity distribution of a laser beam are argued to be relevant quantities for laser materials processing. Their propagation and optical transformation properties are analysed in an operator approach. A tensorial formulation of the ABCD transformation properties of the moments/cumulants is used to classify them in sets determinable and nondeterminable by beam divergence measurements.encumulantfeaturelaser beamparameterskewnesstransformation property621conference paper