Abstract

Modal decomposition by means of correlation filters has been proved as a key for real online laser beam analysis. To compare that method with the "standard" M<sup>2</sup> method, we generated series of different laser beams (1064 nm), applied both methods to one and the same beam and evaluated achieved results. An adjustable Nd:YAG laser served as transversal mode generator, delivering diverse "pure" Gauss-Hermite modes and superpositions of modes, respectively. In the case of incoherent superposition of modes, their particular contribution to the general M<sup>2</sup> value should be proportional to their relative strength, whereas in the case of coherent superposition M<sup>2</sup> is distinctly influenced by phase differences between the discrete modal components. Achieved experimental findings are well confirmed by computer simulation.

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