Geodesic
Multicriteria Optimization of Beam Dynamics
The Bulletin of Irkutsk State University. Series Mathematics, Tome 7 (2014), pp. 3-18

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In the paper, the problem of charged beam dynamics optimization is considered, when formulated to be trajectory ensemble control problem for appropriate dynamical system. Control process quality is estimated by the values of functionals defined on beam trajectories. Multicriteria optimization approach is applied to the problem under study, specifically, main criteria method is considered. Multicriteria optimization of longitudinal electron beam dynamics in traveling-wave accelerator is carried out. Approximate compromise curve is presented.
Keywords: multicriteria optimization, efficient control function, compromise curve, charged particle beam, linear accelerator. 
@article{IIGUM_2014_7_a0,
     author = {L. Vladimirova},
     title = {Multicriteria {Optimization} of {Beam} {Dynamics}},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2014_7_a0/}
}
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L. Vladimirova. Multicriteria Optimization of Beam Dynamics. The Bulletin of Irkutsk State University. Series Mathematics, Tome 7 (2014), pp. 3-18. http://geodesic.mathdoc.fr/item/IIGUM_2014_7_a0/