Self-consistent numerical solution to Poisson's equation in an axisymmetric Malmberg-Penning trap

Journal Article · Fri Dec 10 04:00:00 EST 1999 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1302149· OSTI ID:21210388

Chao, Edward H; Davidson, Ronald C; Paul, Stephen F; Fine, Kevin S ^[1]

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1. Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)

This paper summarizes a fast numerical technique for solving Poisson's equation in an axisymmetric Malmberg-Penning trap. The method assumes the charge density qn(r,z) and boundary potentials {phi}(r=R{sub w},z) are specified, and solves for the electrostatic potential {phi}(r,z) within the cylinder. The solution of Poisson's equation is often an important step in the numerical reconstruction of the nonneutral plasma density profile n(r,z) from the axially integrated measurements of the charge density profile, Q(r)=qA{sub h}{integral}dzn(r,z), where q is the charge and A{sub h} is the effective area of the collimator hole.

• OSTI ID: 21210388
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 498; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AXIAL SYMMETRY
CHARGE DENSITY
COMPUTERIZED SIMULATION
ELECTRIC POTENTIAL
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
PLASMA DENSITY
PLASMA RADIAL PROFILES
PLASMA SIMULATION
POISSON EQUATION
TRAPS