Title :
A high-order moment simulation model
Author :
Tsang, K.T. ; Kostas, C. ; Chernin, D.P. ; Petillo, J.J. ; Mondelli, A.
Author_Institution :
Sci. Appl. Int. Corp., McLean, VA, USA
Abstract :
A beam transport system in which the particle motions in the two transverse directions (x and y) are coupled is considered. A beam with a distribution in energy in a magnetic field with nonlinear dependence on the spatial coordinates is discussed. Under the first condition, the spatial coordinate (z) along the beam motion cannot be confused with the time variable. Since fast particles will overtake the slower particles as time evolves, the beam envelope is a function of both z and time (t). Therefore, the beam envelope equations are a set of partial differential moment equations, instead of a set of ordinary differential moment equations. The authors also derive a relativistically covariant form of moment equations, based on the work of W.A. Newcomb (1982) and P. Amendt and H. Weitzner (1985).<>
Keywords :
beam handling equipment; particle beam diagnostics; beam envelope; beam motion; beam transport system; high-order moment simulation model; nonlinear dependence; partial differential moment equations; relativistically covariant form; spatial coordinates; Coordinate measuring machines; Differential equations; Extraterrestrial measurements; Magnetic fields; Motion measurement; Optical coupling; Partial differential equations; Particle beams; Physics; Tensile stress;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164285
