"Orthogonal Basis Function
Approximations of Particle
Distributions in Numerical Simulations of Beams"
Northern Illinois University
simulations of charged particle beams require an approximation to the
particle distribution being simulated. Depending on the flavor of the N-body
code, these approximations suffer from different computational difficulties.
In this talk, we briefly outline these difficulties, and present
approximations to particle distributions using orthogonal functions. We
discuss two different types of orthogonal functions, new in the context of
beam simulations: wavelets and scaled Gauss-Hermite basis. On the wavelet
side, we present the wavelet-based Poisson equation solver we recently
devised for use in particle-in-cell beam simulations, and report on some
important enhancements being implemented as a part of an ongoing project. On
scaled Gauss-Hermite basis side, we discuss some preliminary results in
efficiently approximating discrete particle distributions in an orthogonal
basis in which the corresponding potential and forces are directly and
easily found from the expansion coefficients of the distribution.
Thursday, April 3, 2008
CEBAF Center, Room F113
Coffee before the seminar starting at 3:00 p.m.
Talk Slides: (Slides)
For more information, please contact Dr. Alex Bogacz, Chair of CASA Seminar Committee