Abstract
Based on the analysis of motion features for a pulse beam, as the dynamics models of motion system in a six-dimensional phase space, target measuring model and instantaneous distribution model are described. The strict dynamics motion equations of particles beam have been derived both in Cartesion coordinate system and in Curvilinear coordinate system for two kinds of models mentioned above. The force components in three directions have been given for two models and two coordinate systems. The model of Karl L. Brown`s theory and his dynamics motion equations were also analysed. The features of two theory models and their suitable conditions were discussed. It is confirmed that the `target measuring model` is a better one to describe a pulse beam. That is because the time t and t` = dt/d{zeta} are selected as the longitudinal coordinate of six dimensional coordinate system. The status described by this model is not instantaneous but a status with time distribution in a fixed position, eg. in a target. With this model, the time features of a pulse beam can be given directly. But when the space charge has to be considered, the instantaneous distribution model will be better than target measuring model.
Citation Formats
Qingxi, Cao, and Xialing, Guan.
A review of some dynamics models in six-dimensional phase space and their suitable conditions of motion equation.
China: N. p.,
1991.
Web.
Qingxi, Cao, & Xialing, Guan.
A review of some dynamics models in six-dimensional phase space and their suitable conditions of motion equation.
China.
Qingxi, Cao, and Xialing, Guan.
1991.
"A review of some dynamics models in six-dimensional phase space and their suitable conditions of motion equation."
China.
@misc{etde_10145235,
title = {A review of some dynamics models in six-dimensional phase space and their suitable conditions of motion equation}
author = {Qingxi, Cao, and Xialing, Guan}
abstractNote = {Based on the analysis of motion features for a pulse beam, as the dynamics models of motion system in a six-dimensional phase space, target measuring model and instantaneous distribution model are described. The strict dynamics motion equations of particles beam have been derived both in Cartesion coordinate system and in Curvilinear coordinate system for two kinds of models mentioned above. The force components in three directions have been given for two models and two coordinate systems. The model of Karl L. Brown`s theory and his dynamics motion equations were also analysed. The features of two theory models and their suitable conditions were discussed. It is confirmed that the `target measuring model` is a better one to describe a pulse beam. That is because the time t and t` = dt/d{zeta} are selected as the longitudinal coordinate of six dimensional coordinate system. The status described by this model is not instantaneous but a status with time distribution in a fixed position, eg. in a target. With this model, the time features of a pulse beam can be given directly. But when the space charge has to be considered, the instantaneous distribution model will be better than target measuring model.}
place = {China}
year = {1991}
month = {Sep}
}
title = {A review of some dynamics models in six-dimensional phase space and their suitable conditions of motion equation}
author = {Qingxi, Cao, and Xialing, Guan}
abstractNote = {Based on the analysis of motion features for a pulse beam, as the dynamics models of motion system in a six-dimensional phase space, target measuring model and instantaneous distribution model are described. The strict dynamics motion equations of particles beam have been derived both in Cartesion coordinate system and in Curvilinear coordinate system for two kinds of models mentioned above. The force components in three directions have been given for two models and two coordinate systems. The model of Karl L. Brown`s theory and his dynamics motion equations were also analysed. The features of two theory models and their suitable conditions were discussed. It is confirmed that the `target measuring model` is a better one to describe a pulse beam. That is because the time t and t` = dt/d{zeta} are selected as the longitudinal coordinate of six dimensional coordinate system. The status described by this model is not instantaneous but a status with time distribution in a fixed position, eg. in a target. With this model, the time features of a pulse beam can be given directly. But when the space charge has to be considered, the instantaneous distribution model will be better than target measuring model.}
place = {China}
year = {1991}
month = {Sep}
}