S. Saghafi et Cjr. Sheppard, NEAR-FIELD AND FAR-FIELD OF ELEGANT HERMITE-GAUSSIAN AND LAGUERRE-GAUSSIAN MODES, J. mod. opt. (Print), 45(10), 1998, pp. 1999-2009
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-Gaussi
an modes are derived. The near- and far-field behaviours of the elegan
t Hermite-Gaussian and Laguerre-Gaussian modes are in investigated. Th
e similarity between the elegant Laguerre-Gaussian beams and the Besse
l-Gaussian beams is discussed.