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
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;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309736
