Geodesic
Quasi-optical equation for transversal correlation function of radiation field
Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 114-122.

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The earlier proposed algorithm for numerical solution of the quasi-optical equation for the transversal correlation function of radiation field applicable to studying dynamics of amplified spontaneous radiation (ASR) in X laser is being improved. The numerical method is based on discretization of the transversal differential operator and obtaining a system of connected differential equations of the first order in the longitudinal variable which is solved with an explicit method. A multi-stage explicit integration scheme is used, procedures are introduced for phase error reduction and solution smoothing. A good accuracy of the method and possibility to solve ASR dynamics problems under characteristic conditions are shown by numerical examples. 
@article{MM_1998_10_8_a9,
     author = {V. K. Ladagin and F. A. Starikov},
     title = {Quasi-optical equation for transversal correlation function of radiation field},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {114--122},
     publisher = {mathdoc},
     volume = {10},
     number = {8},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_8_a9/}
}
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V. K. Ladagin; F. A. Starikov. Quasi-optical equation for transversal correlation function of radiation field. Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 114-122. http://geodesic.mathdoc.fr/item/MM_1998_10_8_a9/