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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 9 — Sep. 1, 1998
  • pp: 2425–2432

Production and propagation of Hermite–sinusoidal-Gaussian laser beams

Anthony A. Tovar and Lee W. Casperson  »View Author Affiliations

JOSA A, Vol. 15, Issue 9, pp. 2425-2432 (1998)

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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.

© 1998 Optical Society of America

OCIS Codes
(140.3410) Lasers and laser optics : Laser resonators
(230.5750) Optical devices : Resonators
(350.5500) Other areas of optics : Propagation

Original Manuscript: December 22, 1997
Revised Manuscript: March 31, 1998
Manuscript Accepted: May 1, 1998
Published: September 1, 1998

Anthony A. Tovar and Lee W. Casperson, "Production and propagation of Hermite–sinusoidal-Gaussian laser beams," J. Opt. Soc. Am. A 15, 2425-2432 (1998)

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