Geodesic
Diffractive eigenmode calculations in unstable optical resonators with gain medium
Matematičeskoe modelirovanie, Tome 2 (1990) no. 5, pp. 104-119.

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An eigenmode problem in laser unstable resonator with nonhomogeneous medium is considered. The proposed class of numerical algorithms for linear eigenproblem allows us to find efficiently several low-loss modes. The using gain and refractive index distributions were produced by solution of self-consistent lasing problem. The calculations were performed for Rigrod model and $\mathrm{CO}_2$ flow laser model. 
@article{MM_1990_2_5_a6,
     author = {N. N. Elkin},
     title = {Diffractive eigenmode calculations in unstable optical resonators with gain medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {104--119},
     publisher = {mathdoc},
     volume = {2},
     number = {5},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_5_a6/}
}
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N. N. Elkin. Diffractive eigenmode calculations in unstable optical resonators with gain medium. Matematičeskoe modelirovanie, Tome 2 (1990) no. 5, pp. 104-119. http://geodesic.mathdoc.fr/item/MM_1990_2_5_a6/