Generalized Parametric Analysis of Charged Periodic Structures for Reducing Electron Backscatter in Sgemp Simulators

In a previous article 11], parametric analysis was conducted using simplifying assumptions that the periodic structures consisted of an extremely thin wire. The present article relaxes that restriction so that the thin wire is replaced by periodic structures consisting of conducting cylinders of finite radii. The generalized problem is then solved using a series approach in place of conformalmapping techniques used before. Due to the symmetry of the problem, the matching conditions at the boundaries are greatly simplified. The least-squared-error fitting procedure indicates signlificant differences in the thin-line charge approximation and corresponding large radii cases. However, for most cases of interest, theoretical conclusions of the previous article provide good design parameters. Following the procedures established in the previous article, the electron trajectories are computed along with the fraction of electrons that escape as a function of energy, angles of departure, and grid geometry.