Nonlinear δF Simulation Studies of High-Intensity, Non-Axisymetric Beam Propagation
Abstract
The nonlinear δF formalism, previously developed and applied for axisymmetric beam propagation (P.H. Stoltz, W.W. Lee, and R-C. Davidson, this conference), has been extended to the case of general variation in the transverse phase space (X,Y,X^',Y^'). The analysis considers a high-intensity ion beam in the thin-beam approximation (rb << S) propagating through a periodic focusing solenoidal field κ_z(s+S)=κ_z(s). The distribution function Fb is divided into a zero-order part (F_b^0) plus a perturbation (δ F_b) which evolve nonlinearly in the zero-order and perturbed field configurations. The perturbed distribution function δ F_b(X,Y,X^',Y^',s) and potential δΨ(X,Y,s) are allowed to have general X-Y dependence, whereas the zero-order distribution F_b^0 is taken to be axisymmetric (fracpartialpartialθ=0). Simulation results are presented for two cases: (a) uniform focusing field with κ_z(s)=barκ_z=const, and (b) periodic focusing field with κ_z(s)=barκ_z+δκ_z(s). Beam propagation is investigated for both sudden and adiabatic turn-on of δκ_z(s).
- Publication:
-
APS Division of Plasma Physics Meeting Abstracts
- Pub Date:
- November 1998
- Bibcode:
- 1998APS..DPP.G4P30K