, Volume 96, Issue 1, pp 149-153
Date: 13 Mar 2009

Beam propagation factors of a Lorentz–Gauss beam

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Abstract

Based on the second-order moments, the beam propagation factors of a Lorentz–Gauss beam have been investigated. The analytical expressions for the beam propagation factors have been derived by means of the product theorem of the Fourier transform. The analytical formulae are further simplified at two limiting cases, respectively. The beam propagation factors are also depicted as functions of the parameters a and b, respectively. The result shows that the beam propagation factor of a Lorentz–Gauss beam is in between 1 and \(\sqrt{2}\) . Therefore, the Lorentz–Gauss beam provides a better valid model to describe highly divergent beams. This research is beneficial to the practical applications of a Lorentz–Gauss beam.