Alternative approach to the numerical synthesis of the dense-ion-beam focusing systems

• Published in: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 63; no. 4 Pt 2; p. 046501
• Main Authors: Yurchenko, V B, Yurchenko, L V
• Format: Journal Article
• Language: English
• Published: United States 01-04-2001
• ISSN: 1539-3755; 1063-651X; 1095-3787
• DOI: 10.1103/PhysRevE.63.046501

An alternative approach has been developed to the numerical synthesis of ion-beam focusing systems that prepare the dense laminar ion beams with the required profile of the ion trajectories. Conventionally an ill-posed synthesis problem arises in such cases, and only low-density beams with no magnetic field are treated. Instead, we compute both the electric and magnetic fields by considering two well-posed 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 self-consistent 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.