A Class Of Generalized Kapchinskij-Vladimirskij Solutions And Associated Envelope Equations For High-intensity Charged Particle Beams | Zendy

Hong Qin | Zendy

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A Class Of Generalized Kapchinskij-Vladimirskij Solutions And Associated Envelope Equations For High-intensity Charged Particle Beams

Author(s) -

Hong Qin

Publication year - 2012

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1063117

Subject(s) - physics , transverse plane , nonlinear system , lattice (music) , beam (structure) , charged particle beam , classical mechanics , coupling (piping) , mathematical analysis , charged particle , quantum mechanics , mathematics , optics , ion , materials science , structural engineering , acoustics , engineering , metallurgy

A class of generalized Kapchinskij-Vladimirskij solutions of the nonlinear Vlasov-Maxwell equations and the associated envelope equations for high-intensity beams in a periodic lattice is derived. It includes the classical Kapchinskij-Vladimirskij solution as a special case. For a given lattice, the distribution functions and the envelope equations are specified by eight free parameters. The class of solutions derived captures a wider range of dynamical envelope behavior for high-intensity beams, and thus provides a new theoretical tool to investigate the dynamics of high-intensity beams

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