Abstract
Based on the second-order moments, the beam propagation factors and the kurtosis parameters of a Lorentz beam have been investigated. The M 2 value of a Lorentz beam is verified to be 2 . The analytical expressions of the kurtosis parameters have been derived. The kurtosis parameter varies upon the propagation, and it is decided by two ratios z/z rx and z/z ry . The kurtosis parameter versus the two ratios z/z rx and z/z ry is plotted and discussed in detail. This work is of benefit to the practical application of laser sources that produce highly divergent beams.
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