We show that the elegant Laguerre–Gauss light beams of high radial order n are asymptotically equal to Bessel–Gauss light beams. The Bessel–Gauss beam equivalent to each elegant Laguerre–Gauss beam is found and shown to have almost identical propagation factors M<sup>2</sup>. In the limit n→∞, elegant Laguerre–Gauss beams can be identified with Durnin’s Bessel beam. Our results suggest a new experimental procedure for generating light beams with nondiffractinglike properties directly from the output of a stable resonator.
© 2001 Optical Society of America
(050.1940) Diffraction and gratings : Diffraction
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation
Miguel A. Porras, Riccardo Borghi, and Massimo Santarsiero, "Relationship between elegant Laguerre–Gauss and Bessel–Gauss beams," J. Opt. Soc. Am. A 18, 177-184 (2001)