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Analysis of the optical transformation properties of 2-dimensional beam parameters and consequences for their measurability

: Scholl, M.

Sociedad Espanola de Optica -SEDO-, Madrid:
Proceedings of the Workshop on Laser Beam Characterization
Madrid, 1993
pp.287-298 : Abb.,Lit.
Laser Beam Characterization <1993, Madrid>
Conference Paper
Fraunhofer ILT ()
cumulant; feature; laser beam; parameter; skewness; transformation property

Spatial 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.