Abstract
Production and Propagation of Hermite-sinusoidal-Gaussian beams
Recently, Hermite-Sinusoidal-Gaussian solutions to the wave equation
have 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. In this paper, the propagation
of these beams is examined in detail, and resonators are designed which
will produce them. As an example, a special resonator is designed
to produce sinh-Gaussian beams. This ring resonator contains a cosh-Gaussian
apodized aperture. The beam mode has finite energy and is perturbation
stable.
Date Modified January, 1998
Return
To Dr. Tovar's Publication Page