DocumentCode
1982004
Title
A matrix theory of the motion of an ellipsoidal bunch in a beam control system with rectilinear optical axis and with space charge
Author
Dymnikov, Alexander ; Hellborg, Ragnar
Author_Institution
Inst. of Comput. Math., St. Petersburg Univ., Russia
fYear
1993
fDate
17-20 May 1993
Firstpage
3618
Abstract
The motion of a 3-dimensional ellipsoidal bunch of charged particles in an arbitrary external electromagnetic field is considered taking into account the effect of space charge. The first approximation of the electromagnetic field within the bunch due to space charge has been found. The nonlinear matrix equation in the envelope variable space is written. An effective recursive computational method for the solution of the nonlinear beam envelope evolution is proposed
Keywords
beam handling techniques; particle beam diagnostics; space charge; beam control system; effective recursive computational method; electromagnetic field; ellipsoidal bunch; matrix theory; nonlinear beam envelope evolution; rectilinear optical axis; space charge; Control systems; Electromagnetic fields; Ellipsoids; Magnetic field measurement; Motion control; Nonlinear equations; Nonlinear optics; Optical control; Particle beams; Space charge;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location
Washington, DC
Print_ISBN
0-7803-1203-1
Type
conf
DOI
10.1109/PAC.1993.309736
Filename
309736
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