Abstract

The M 2 factor of Bessel–Gauss beams derived by Borghi and Santarsiero [ Opt. Lett. 22, 262–264 (1997)] is shown to predict the e -2 axial position rather than the half-intensity position of the on-axis intensity as the Rayleigh range divided by M 2 for large values of k t w 0. For small values of k t w 0, the half-intensity axial position of the J 0 Bessel–Gauss beam is the Rayleigh range divided by M 2. Also, the ratio of the half-intensity lengths of J 0 Bessel–Gauss and comparable Gaussian beams having the same radial size of their central regions is shown to be M 2/1.3. For equal input powers and large k t w 0, the values of peak intensity times effective range for J 0 Bessel–Gauss beams is a constant and is a factor of 1.3 larger than the corresponding product for the comparable simple Gaussian beam.

© 1998 Optical Society of America

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