HB2014 - List of Authors (Gee, A.J.)

Paper	Title	Page
MOPAB31	Space Charge Map Extraction and Analysis in a Differential Algebraic Framework	103
	A.J. Gee, B. Erdelyi Northern Illinois University, DeKalb, Illinois, USA B. Erdelyi ANL, Argonne, USA
	Funding: This work was supported in part by the U.S. Department of Energy, Office of High Energy Physics, under Contract Nos. DE-FG02-08ER41532 and DE-SC0011831, with Northern Illinois University. Space charge is a leading concern in high-intensity beams, causing effects such as emittance growth, beam halos, etc. As the need for high-intensity beams spreads, the demand for efficient space charge analysis grows. We developed a self consistent space charge simulation method for this purpose []. In order to facilitate space charge analysis, we implemented a method that allows space charge map extraction and analysis from any tracking method [,*]. We demonstrate the method by calculating the transverse space charge. We compare the method of moments and the fast multipole method as the tracking methods employed in the transfer map extraction process. We show results from analysis of the raw map elements as well as quantities obtained from normal forms. [] Erdelyi, Nissen, and Manikonda. A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams. [**] Berz. Modern Map Methods in Particle Beam Physics.

Paper

Title

Page

Space Charge Map Extraction and Analysis in a Differential Algebraic Framework

103

A.J. Gee, B. Erdelyi
Northern Illinois University, DeKalb, Illinois, USA
B. Erdelyi
ANL, Argonne, USA

Funding: This work was supported in part by the U.S. Department of Energy, Office of High Energy Physics, under Contract Nos. DE-FG02-08ER41532 and DE-SC0011831, with Northern Illinois University.
Space charge is a leading concern in high-intensity beams, causing effects such as emittance growth, beam halos, etc. As the need for high-intensity beams spreads, the demand for efficient space charge analysis grows. We developed a self consistent space charge simulation method for this purpose [*]. In order to facilitate space charge analysis, we implemented a method that allows space charge map extraction and analysis from any tracking method [*,**]. We demonstrate the method by calculating the transverse space charge. We compare the method of moments and the fast multipole method as the tracking methods employed in the transfer map extraction process. We show results from analysis of the raw map elements as well as quantities obtained from normal forms.
[*] Erdelyi, Nissen, and Manikonda. A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams.
[**] Berz. Modern Map Methods in Particle Beam Physics.