Production and propagation of Hermite-sinusoidal-Gaussian laser beams.
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.
Tovar
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Department of Physics and Engineering Physics, Murray State University, Kentucky 42071-0009, USA.
Casperson
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D007834:Lasers; D008962:Models, Theoretical; D010825:Physics / Q000379:methods*