Geodesic
Effect of lifting of mode degeneracy in unstable optical resonator under influence of active medium
Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 133-144.

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The self-consistent problem of lasing from unstable resonator loaded with gain saturable medium is considered. A recently developed numerical method is expounded for solving such problem, viz., selective iterative method. It allows one to find efficiently both stable and unstable solutions. The calculations were performed for a strip confocal resonators whose equivalent Fresnel numbers were varied near the values corresponding to mode degenerecy points. It was founded that Rigrod medium stabilized one-mode lasing when small-signal gain was sufficiently large, and a two-mode regime occurred with lesser values of small-signal gain. An active medium of $\mathrm{CO}_2$-flow laser lifts a mode degeneracy as soon as threshould gain is exceeded. 
@article{MM_1990_2_9_a11,
     author = {N. N. Elkin},
     title = {Effect of lifting of mode degeneracy in unstable optical resonator under influence of active medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {133--144},
     publisher = {mathdoc},
     volume = {2},
     number = {9},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_9_a11/}
}
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N. N. Elkin. Effect of lifting of mode degeneracy in unstable optical resonator under influence of active medium. Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 133-144. http://geodesic.mathdoc.fr/item/MM_1990_2_9_a11/