Alternative approach to the numerical synthesis of the denseionbeam focusing systems
Abstract
An alternative approach has been developed to the numerical synthesis of ionbeam focusing systems that prepare the dense laminar ion beams with the required profile of the ion trajectories. Conventionally an illposed synthesis problem arises in such cases, and only lowdensity beams with no magnetic field are treated. Instead, we compute both the electric and magnetic fields by considering two wellposed problems, the first for the equivalent potential Q and the second for the electric potential U. An analytical solution for Q for the specific case of an axial system has been found and a selfconsistent method of satisfying the axial boundary conditions for Poisson's equation in U is described. It is shown that the beam can be focused while preserving its laminar structure and the required profile when applying various superpositions of both the electric and magnetic fields.
 Publication:

Physical Review E
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevE.63.046501
 Bibcode:
 2001PhRvE..63d6501Y
 Keywords:

 41.85.p;
 41.75.i;
 Beam optics;
 Chargedparticle beams