Geodesic
Monte Carlo methods in beam dynamics optimization problem
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2014), pp. 31-39

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In this paper, the problems of charged beams dynamics optimization are considered, when formulated to be trajectory ensemble control problems for specific dynamical systems; quality criteria are presented to be the functionals defined on beam trajectories. The problem under investigation is numerical calculation of special formed integral criteria values by Monte Carlo method. Simple computational algorithm is developed and the formula for integral criterion approximation is obtained. The problem of optimization of longitudinal beam dynamics in waveguide linear accelerator is discussed as an example. Integral quality criteria are suggested, multicriteria optimization is carried out. In the course of optimization criteria values calculation is carried out on the basis of Monte Carlo method. The results presented demonstrate beam quality increment. Bibliogr. 13. Il. 1.
Keywords: charged particle beam, beam dynamics optimization, integral functionals, Monte Carlo method, linear accelerator, multicriteria optimization. 
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     author = {L. V. Vladimirova},
     title = {Monte {Carlo} methods in beam dynamics optimization problem},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {31--39},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2014_1_a3/}
}
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L. V. Vladimirova. Monte Carlo methods in beam dynamics optimization problem. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2014), pp. 31-39. http://geodesic.mathdoc.fr/item/VSPUI_2014_1_a3/