A comparative parametric characterization of elegant and standard Hermite-cosh-Gaussian beams

Based on the second-order irradiance moment definitions, the closed form expression of MG2-factor of hard-edge diffracted elegant Hermite-cosh-Gaussian beam is derived and illustrated numerically. Furthermore, a comparison, including characteristic parameters such as the PIB and MG2-factor, of the elegant and standard Hermite-cosh-Gaussian beams is made. The results provide more general characteristic because all familiar rectangular laser modes, i.e., the cosh-Gaussian, Hermite-Gaussian, elegant-Hermite-Gaussian and Gaussian beams are obtained as special cases of standard or elegant Hermite-cosh-Gaussian beams.