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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 5, Iss. 7 — Jul. 1, 1988
  • pp: 1412–1423

Modeling of longitudinally pumped solid-state lasers exhibiting reabsorption losses

W. P. Risk  »View Author Affiliations

JOSA B, Vol. 5, Issue 7, pp. 1412-1423 (1988)

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Many solid-state lasers of current interest exhibit reabsorption loss. Previous modeling calculations of laser performance with longitudinal pumping either have neglected reabsorption loss or have been valid only for certain special cases of the ratio of the pump- and laser-beam waists. Rigorous numerical modeling calculations have been carried out to provide a comprehensive understanding of the behavior of longitudinally pumped solid-state lasers, including reabsorption loss and for arbitrary sizes of the pump- and laser-beam waists. In addition, certain aspects of laser behavior that have traditionally not been discussed in papers on laser modeling, such as clamping, saturation, and spatial distribution of the population-inversion density, are investigated to provide a general understanding of laser performance. The results are applied to a particular solid-state laser of current practical interest, the 946-nm Nd:YAG laser.

© 1988 Optical Society of America

Original Manuscript: January 7, 1988
Manuscript Accepted: March 4, 1988
Published: July 1, 1988

W. P. Risk, "Modeling of longitudinally pumped solid-state lasers exhibiting reabsorption losses," J. Opt. Soc. Am. B 5, 1412-1423 (1988)

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  25. Strictly speaking, the normalization of rP is taken over the crystal, whereas the normalization of ϕ0 is taken over the entire cavity. For simplicity, it will be assumed that the crystal and the cavity lengths are the same, as would be the case, for instance, in a monolithic Nd:YAG laser in which the mirror coatings are deposited directly onto the ends of the laser crystal. The case when the crystal and cavity lengths are not the same is easily accounted for with minor modifications to the theory presented here, and the assumption of identical crystal and cavity lengths does not significantly alter the basic results.

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