Abstract

We introduce a higher-order complex source that generates elegant Laguerre–Gaussian waves with radial mode number $n$ and angular mode number $m$. We derive the integral and differential representations for the elegant Laguerre–Gaussian wave that in the appropriate limit yields the corresponding elegant Laguerre-Gaussian beam. From the spectral representation of the elegant Lauguerre–Gaussian wave we determine the first three orders of nonparaxial corrections for the corresponding paraxial elegant Laguerre–Gaussian beam.

© 2004 Optical Society of America

Virtual source for a Laguerre–Gauss beam

S. R. Seshadri
Opt. Lett. 27(21) 1872-1874 (2002)

Elegant Ince–Gaussian beams

Miguel A. Bandres
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Elegant Hermite–Laguerre–Gaussian beams

Dongmei Deng and Qi Guo
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Virtual source for a Hermite–Gauss beam

S. R. Seshadri
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Virtual source for the Bessel–Gauss beam

S. R. Seshadri
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