Abstract
An alternative set of eigensolutions of the paraxial wave equation to that of the ordinary Hermite-Gaussian modes is that of the so-called ‘elegant’ Hermite-Gaussian modes. The analogous elegant Laguerre-Gaussian modes are derived. The near- and far-field behaviours of the elegant Hermite-Gaussian and Laguerre-Gaussian modes are investigated. The similarity between the elegant Laguerre-Gaussian beams and the Bessel-Gaussian beams is discussed.
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