The transition of the vortex structure of fractional elegant Laguerre–Gaussian beams is discussed in detail as the angular mode index of the beam is continuously varied between integer values. Under this kind of variation, the vortices can be classified into five groups. Contrary to the behavior of the vortices of the nondiffracting Bessel beams of fractional order, the nodal lines of the vortices in the case of the fractional eLG beams exhibit intricate shapes.
© 2013 Optical Society of America
Diffraction and Gratings
Original Manuscript: August 12, 2013
Revised Manuscript: October 5, 2013
Manuscript Accepted: October 8, 2013
Published: October 28, 2013
Israel Martinez-Castellanos and Julio C. Gutiérrez-Vega, "Vortex structure of elegant Laguerre–Gaussian beams of fractional order," J. Opt. Soc. Am. A 30, 2395-2400 (2013)