P2-34: Improved space charge modeling in cylindrical coordinates

Author

Jackson, Robert H. ; Bui, Thuc ; Wu, Alan C. ; Verboncoeur, John P.

Author_Institution

Calabazas Creek Res., Inc., San Mateo, CA, USA

fYear

2010

fDate

18-20 May 2010

Firstpage

289

Lastpage

290

Abstract

The local Taylor polynomial (LTP) technique is applied in 2D cylindrical coordinates to develop high accuracy solutions to the Poisson equation. Corrections are developed for solution coefficients, calculation of radial electric fields and space charge effects. In addition, the LTP technique can generate 2^nd order accuracy in cases with non-conformal boundaries, non-uniform grids and/or high space-charge gradients. These enhancements are being integrated into the XOOPIC particle-in-cell simulation code. Comparisons of LTP with standard finite difference (FD) and finite element (FE) solutions will be performed. Although aimed at photoinjector modeling, these results are broadly applicable to beam/field computation in cylindrical coordinates.

Keywords

Poisson equation; finite difference methods; finite element analysis; gradient methods; polynomials; space charge; 2nd order accuracy; LTP technique; Poisson equation; XOOPIC particle-in-cell simulation code; cylindrical coordinates; finite difference solution; finite element solution; local Taylor polynomial technique; nonconformal boundary; nonuniform grids; photoinjector modeling; radial electric fields; solution coefficients; space charge effects; space charge modeling; space-charge gradients; Computational modeling; Finite difference methods; Finite element methods; MATLAB; Mesh generation; Poisson equations; Polynomials; Space charge; Telephony; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Vacuum Electronics Conference (IVEC), 2010 IEEE International

Conference_Location

Monterey, CA

Print_ISBN

978-1-4244-7098-3

Type

conf

DOI

10.1109/IVELEC.2010.5503490

Filename

5503490