Document Type
Article
Publication Date
1993
DOI
10.1016/0895-7177(93)90197-7
Publication Title
Mathematical and Computer Modelling
Volume
17
Issue
6
Pages
67-82
Abstract
Currently, research is being conducted on the optical properties of materials associated with the development of solid-state lasers in the 2 micron region. In support of this effort, a mathematical model describing the energy transfer in a holmium laser sensitized with thulium is developed. In this paper, we establish some qualitative properties of the solution of the model, such as non-negativity, boundedness, and integrability. A local stability analysis is then performed from which conditions for asymptotic stability are obtained. Finally, we report on our numerical analysis of the system and how it compares with experimental results.
Original Publication Citation
Wangler, T. G., Swetits, J. J., & Buoncristiani, A. M. (1993). Temporal model of an optically pumped co-doped solid-state laser. Mathematical and Computer Modelling, 17(6), 67-82. doi:10.1016/0895-7177(93)90197-7
Repository Citation
Wangler, T. G.; Swetits, J. J.; and Buoncristiani, A. M., "Temporal Model of an Optically Pumped Co-Doped Solid State Laser" (1993). Mathematics & Statistics Faculty Publications. 152.
https://digitalcommons.odu.edu/mathstat_fac_pubs/152
Comments
Elsevier open archive. Copyright © 1993 Published by Elsevier Ltd.