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- W2063787170 abstract "We examine the correspondence between various models describing flat-top laser beam profiles using two standard parameters; namely, the M 2 factor and the kurtosis parameter. Numerical expressions for M 2 , based on the second moment of the beam irradiance distribution in the near and far fields and for the kurtosis parameter, k, based on the fourth moment at the near field, are obtained. Plots of k in the near field versus M 2 demonstrate the similarities between the different analytical models used to describe flat-top profiles. Using the Padé approximation, a relationship between k and M 2 , a new reference formula, is derived that predicts the values of M 2 to within less than a percent for these flattened beams. This method is then extended to define numerical expressions relating the beam parameters (i.e., M 2 and k) and the parameters describing the beam characteristic in each analytical model (model parameters). The results obtained using the Padé method are used to describe the output beam profiles for a high power copper vapour laser fitted with an unstable resonator.PACS Nos.: 42.55.–f, 42.55.Lt, 42.60.–v" @default.
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- W2063787170 date "2006-03-01" @default.
- W2063787170 modified "2023-10-03" @default.
- W2063787170 title "Characterizing flat-top laser beams using standard beam parameters" @default.
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- W2063787170 doi "https://doi.org/10.1139/p06-012" @default.
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