I. Introduction
In pulsed power systems it is necessary to use insulating materials to separate conductors having different potentials. These insulators can be made from many different materials and can have varying geometries. This variability is done in order to increase how much electric field the insulator can tolerate before succumbing to surface flashover or breakdown through the bulk. Also called the sustained electric field of the insulator. Pulsed power systems commonly fail due to surface flashover along the surface of the insulator. Improving insulator technology will lead to higher voltage capability and more reliability in experimentation. To investigate what modifications can increase sustained electric field, it is beneficial to understand how surface flashover occurs. Secondary electron emission avalanche (SEEA) is a dominant theory of how surface flashover forms [1]. SEEA is the theory that electrons emitted at the cathode triple point are accelerated by the potential and collide with the surface of the insulator. The energy from the impact releases more electrons from the insulator's surface. These recently freed electrons are then accelerated by the potential until they also collide with the surface of the insulator releasing even more electrons. This effect accumulates until a current path, via the electrons along the surface, is formed. Minimizing the avalanche could improve the maximum sustained field achieved by the insulator.