A new family of paraxial optical beams has been recently introduced in the literature [Opt. Express 21, 17951 (2013)], having the significant feature of exhibiting discrete-like diffraction patterns reminiscent of those observed in periodic evanescently coupled waveguide lattices. In this connection, we wish to highlight the symmetry properties of the paraxial wave equation, properties that, in our opinion, are still not exploited at their full potentiality, and the effectiveness of differential equation-solving procedures based on the generating-function method.
© 2014 Optical Society of America
Original Manuscript: March 12, 2014
Revised Manuscript: June 10, 2014
Manuscript Accepted: August 1, 2014
Published: August 28, 2014
G. Dattoli and A. Torre, "Note on “discrete-like diffraction dynamics in free space”: highlighting the variety of solving procedures," J. Opt. Soc. Am. B 31, 2214-2220 (2014)