Quadrupoles in Electron Lens Design

Chapter Five: Quadrupole data

Peter Hawkes

Abstract

Graphs and tables showing the properties of quadrupoles or sets of quadrupoles are provided.

Keywords

Single quadrupoles; Doublets; Triplets; Quadruplets; Octopoles; In the preceding section, we discussed in largely qualitative terms the suitability of various quadrupole systems for particular roles. We now complement this quantitatively with a collection of graphs and tables, grouped according to the complexity of each system.

1: The single quadrupole

1.1: Long quadrupoles: The rectangular model

The function k(z) is now of the form

$\begin{array}{ll}k\left(z\right)=1& \mid z\mid <L/2\\ k\left(z\right)=0& \mid z\mid >L/2.\end{array}$

  (1)

The Gaussian equations ...