title: Production and propagation of Hermite-sinusoidal-Gaussian laser beams.
abstract: Hermite-sinusoidal-Gaussian solutions to the wave equation have recently been obtained. In the limit of large Hermite-Gaussian beam size, the sinusoidal factors are dominant and reduce to the conventional modes of a rectangular waveguide. In the opposite limit the beams reduce to the familiar Hermite-Gaussian form. The propagation of these beams is examined in detail, and resonators are designed that will produce them. As an example, a special resonator is designed to produce hyperbolic-sine-Gaussian beams. This ring resonator contains a hyperbolic-cosine-Gaussian apodized aperture. The beam mode has finite energy and is perturbation stable.
authors.affiliation: Department of Physics and Engineering Physics, Murray State University, Kentucky 42071-0009, USA.
authors.forename: A A
authors.initials: AA
authors.lastname: Tovar
authors.forename: L W
authors.initials: LW
authors.lastname: Casperson
mesh_terms: D007834:Lasers; D008962:Models, Theoretical; D010825:Physics / Q000379:methods*