Abstract

We apply the tools of the fractional calculus to introduce new fractional-order beam solutions to the paraxial wave equation that can be regarded as intermediate solutions between the known integral-order solutions. We restrict our attention to the fractionalization of the elegant and standard Hermite–Gaussian beams.

© 2007 Optical Society of America

Fractionalization of optical beams: II. Elegant Laguerre-Gaussian modes

Julio C. Gutiérrez-Vega
Opt. Express 15(10) 6300-6313 (2007)

Cartesian beams

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 32(23) 3459-3461 (2007)

Elegant Ince–Gaussian beams

Miguel A. Bandres
Opt. Lett. 29(15) 1724-1726 (2004)

Elegant Hermite–Laguerre–Gaussian beams

Dongmei Deng and Qi Guo
Opt. Lett. 33(11) 1225-1227 (2008)

Circular beams

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 33(2) 177-179 (2008)